Profiling results ----------------- Total cpu time observed: 78422ms (out of 79052ms) Number of samples taken: 248 (once every 316ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 216 hidden) =========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =========================================================================== run [30] 50.0% [1] 78422(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [15] 50.0% run-improve40 [16] 45.4% prepare-points-intervals [18] 2.5% oracle-error [25] 0.9% get-final-combination [27] 0.8% loop [145] 0.2% errors [91] 0.2% --------------------------------------------------------------------------- ??? [136] 100.0% [2] 7590(9.7%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [17] 91.6% for-loop [29] 4.4% taylor [37] 4.0% --------------------------------------------------------------------------- hash-ref! [160] 100.0% [3] 3674(4.7%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:68:15 ??? [136] 100.0% --------------------------------------------------------------------------- hash-ref! [160] 100.0% [4] 3326(4.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:301:23 for-loop [19] 100.0% --------------------------------------------------------------------------- loop [201] 24.4% for-loop [196] 75.6% [5] 2748(3.5%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [20] 100.0% --------------------------------------------------------------------------- stx-list? [53] 14.2% loop [201] 29.4% for-loop [196] 56.3% [6] 2358(3.0%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [21] 100.0% --------------------------------------------------------------------------- matcher [111] 100.0% [7] 1976(2.5%) 0(0.0%) ??? .../herbie/develop/src/core/matcher.rkt:175:11 for-loop [22] 100.0% --------------------------------------------------------------------------- hash-ref! [160] 100.0% [8] 1328(1.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:407:23 for-loop [26] 100.0% --------------------------------------------------------------------------- for-loop [196] 100.0% [9] 660(0.8%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [23] 100.0% --------------------------------------------------------------------------- for-loop [196] 100.0% [10] 622(0.8%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [23] 100.0% --------------------------------------------------------------------------- parse-loop15 [57] 3.6% loop [11] 96.4% [11] 604(0.8%) 0(0.0%) loop ...-7.0/collects/racket/private/map.rkt:54:19 loop [11] 96.4% ??? [136] 3.6% --------------------------------------------------------------------------- hash-ref! [160] 100.0% [12] 336(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:291:26 for-loop [28] 100.0% --------------------------------------------------------------------------- copying-mergesort [102] 100.0% [13] 334(0.4%) 0(0.0%) jloop ...0/collects/racket/private/sort.rkt:120:23 ??? [123] 100.0% --------------------------------------------------------------------------- append-map [116] 100.0% [14] 330(0.4%) 0(0.0%) free-variables ...e/develop/src/programs.rkt:102:0 variable? [24] 100.0% --------------------------------------------------------------------------- ??? [1] 100.0% [15] 78422(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [30] 100.0% --------------------------------------------------------------------------- ??? [1] 100.0% [16] 71144(90.7%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:336:0 for-loop [31] 100.0% --------------------------------------------------------------------------- approximate9 [2] 100.0% [17] 6954(8.9%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 hash-ref! [160] 52.8% ??? [136] 47.2% --------------------------------------------------------------------------- ??? [1] 100.0% [18] 3854(4.9%) 280(0.4%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [32] 92.7% --------------------------------------------------------------------------- ??? [4] 100.0% [19] 3326(4.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:304:27 hash-ref! [160] 100.0% --------------------------------------------------------------------------- dispatch-transformer41 [5] 100.0% [20] 2748(3.5%) 1060(1.4%) apply-transformer52 (unknown source) loop [201] 37.0% apply-transformer-in-context [38] 24.4% --------------------------------------------------------------------------- syntax-e [6] 100.0% [21] 2358(3.0%) 336(0.4%) syntax-e/no-taint (unknown source) loop [201] 85.8% --------------------------------------------------------------------------- ??? [7] 100.0% [22] 1976(2.5%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [111] 100.0% --------------------------------------------------------------------------- core-form-sym [208] 16.6% expand-id-application-form17 [207] 17.8% expand-identifier [10] 31.8% expand-implicit [9] 33.8% [23] 1954(2.5%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [33] 100.0% --------------------------------------------------------------------------- free-variables [14] 21.3% matcher [111] 21.6% match-e [129] 57.1% [24] 1548(2.0%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [55] 100.0% --------------------------------------------------------------------------- ??? [1] 100.0% [25] 1400(1.8%) 324(0.4%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [35] 76.9% --------------------------------------------------------------------------- ??? [8] 100.0% [26] 1328(1.7%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:411:33 for-loop [36] 77.4% hash-ref! [160] 22.6% --------------------------------------------------------------------------- ??? [1] 100.0% [27] 1302(1.7%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:357:0 infer-splitpoints [34] 100.0% --------------------------------------------------------------------------- ??? [12] 100.0% [28] 336(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:291:52 ??? [192] 100.0% --------------------------------------------------------------------------- approximate9 [2] 100.0% [29] 334(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [37] 100.0% --------------------------------------------------------------------------- profile-thunk16 [15] 100.0% [30] 78422(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [1] 100.0% --------------------------------------------------------------------------- run-improve40 [16] 100.0% [31] 71144(90.7%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:351:4 run-iter! [39] 100.0% --------------------------------------------------------------------------- prepare-points-intervals [18] 100.0% [32] 3574(4.6%) 370(0.5%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [40] 62.2% ??? [42] 27.5% --------------------------------------------------------------------------- resolve+shift28 [23] 100.0% [33] 1954(2.5%) 324(0.4%) fallback-loop (unknown source) for-loop [196] 83.4% --------------------------------------------------------------------------- get-final-combination [27] 100.0% [34] 1302(1.7%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:34:0 for-loop [41] 100.0% --------------------------------------------------------------------------- oracle-error [25] 100.0% [35] 1076(1.4%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:213:2 map [81] 100.0% --------------------------------------------------------------------------- for-loop [26] 100.0% [36] 1028(1.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:413:39 hash-ref! [160] 100.0% --------------------------------------------------------------------------- approximate9 [2] 15.7% hash-ref! [160] 16.9% taylor [37] 32.6% for-loop [29] 34.8% [37] 960(1.2%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 debug5 [59] 34.8% taylor [37] 32.6% taylor-exp [44] 16.9% loop [45] 15.7% --------------------------------------------------------------------------- apply-transformer52 [20] 100.0% [38] 670(0.9%) 334(0.4%) apply-transformer-in-context (unknown source) go [43] 50.1% --------------------------------------------------------------------------- for-loop [31] 100.0% [39] 71144(90.7%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:317:0 simplify! [46] 73.4% gen-series! [47] 12.4% finalize-iter! [49] 10.0% gen-rewrites! [50] 3.2% localize! [52] 0.8% --------------------------------------------------------------------------- loop [32] 100.0% [40] 2222(2.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [123] 86.5% ??? [55] 13.5% --------------------------------------------------------------------------- infer-splitpoints [34] 100.0% [41] 1302(1.7%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:46:6 option-on-expr [51] 100.0% --------------------------------------------------------------------------- loop [32] 100.0% [42] 982(1.3%) 326(0.4%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [136] 66.8% --------------------------------------------------------------------------- apply-transformer-in-context [38] 100.0% [43] 336(0.4%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 stx-list? [53] 100.0% --------------------------------------------------------------------------- taylor [37] 100.0% [44] 324(0.4%) 0(0.0%) taylor-exp ...ie/develop/src/core/taylor.rkt:401:0 simplify [48] 100.0% --------------------------------------------------------------------------- taylor [37] 100.0% [45] 302(0.4%) 0(0.0%) loop ...s/herbie/develop/src/core/taylor.rkt:268:2 hash-ref! [160] 100.0% --------------------------------------------------------------------------- run-iter! [39] 100.0% [46] 52254(66.6%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:213:0 ??? [54] 98.1% for-loop [60] 1.3% for-loop [64] 0.6% --------------------------------------------------------------------------- run-iter! [39] 100.0% [47] 8852(11.3%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:149:0 for-loop [56] 100.0% --------------------------------------------------------------------------- taylor-exp [44] 3.8% ??? [177] 3.8% ??? [136] 14.8% hash-ref! [160] 77.6% [48] 8518(10.9%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 parse-loop15 [57] 42.6% f67 [70] 42.4% debug-print [72] 7.5% debug5 [59] 4.2% simplify-node [100] 3.3% --------------------------------------------------------------------------- run-iter! [39] 100.0% [49] 7124(9.1%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:268:0 ??? [55] 100.0% --------------------------------------------------------------------------- run-iter! [39] 100.0% [50] 2310(2.9%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:172:0 for-loop [58] 100.0% --------------------------------------------------------------------------- for-loop [41] 100.0% [51] 1302(1.7%) 334(0.4%) option-on-expr ...velop/src/core/regimes.rkt:150:0 for-loop [61] 48.7% sort-context-on-expr [63] 25.7% --------------------------------------------------------------------------- run-iter! [39] 100.0% [52] 604(0.8%) 0(0.0%) localize! ...herbie/develop/src/mainloop.rkt:116:0 localize-error [62] 100.0% --------------------------------------------------------------------------- go [43] 100.0% [53] 336(0.4%) 0(0.0%) stx-list? .../collects/racket/private/stx.rkt:49:4 syntax-e [6] 100.0% --------------------------------------------------------------------------- simplify! [46] 100.0% [54] 51268(65.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 one-iter [77] 55.5% for-loop [65] 26.8% loop [66] 17.7% --------------------------------------------------------------------------- loop [40] 3.1% match-e [129] 6.6% variable? [24] 16.1% finalize-iter! [49] 74.1% [55] 9608(12.3%) 2484(3.2%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [68] 74.1% --------------------------------------------------------------------------- gen-series! [47] 100.0% [56] 8852(11.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:156:7 taylor-alt [67] 100.0% --------------------------------------------------------------------------- append-map [116] 4.2% parse-loop15 [57] 4.6% hash-ref! [160] 8.9% map [81] 29.2% simplify [48] 53.2% [57] 6814(8.7%) 0(0.0%) parse-loop15 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [69] 73.4% parse-loop15 [57] 4.6% f67 [70] 4.5% loop [145] 4.4% loop [11] 4.4% ??? [75] 4.4% make-multiplication-node [76] 4.2% --------------------------------------------------------------------------- gen-rewrites! [50] 100.0% [58] 2310(2.9%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:180:11 rewrite-expression-head20 [71] 100.0% --------------------------------------------------------------------------- taylor [37] 48.1% simplify [48] 51.9% [59] 694(0.9%) 334(0.4%) debug5 ...tlies/herbie/develop/src/debug.rkt:102:0 return/no-unsupplied [167] 51.9% --------------------------------------------------------------------------- simplify! [46] 100.0% [60] 660(0.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:218:6 debug-print [72] 100.0% --------------------------------------------------------------------------- option-on-expr [51] 100.0% [61] 634(0.8%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:158:4 errors [91] 100.0% --------------------------------------------------------------------------- localize! [52] 100.0% [62] 604(0.8%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:52:0 hash-ref! [160] 100.0% --------------------------------------------------------------------------- option-on-expr [51] 100.0% [63] 334(0.4%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:145:0 ??? [73] 100.0% --------------------------------------------------------------------------- simplify! [46] 100.0% [64] 326(0.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:252:6 for-loop [74] 100.0% --------------------------------------------------------------------------- ??? [54] 100.0% [65] 13746(17.5%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [77] 100.0% --------------------------------------------------------------------------- ??? [54] 100.0% [66] 9052(11.5%) 300(0.4%) loop ...herbie/develop/src/core/simplify.rkt:143:2 for-loop [79] 93.3% loop [151] 3.4% --------------------------------------------------------------------------- for-loop [56] 100.0% [67] 8852(11.3%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:135:0 for-loop [78] 100.0% --------------------------------------------------------------------------- ??? [55] 100.0% [68] 7124(9.1%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [80] 95.3% loop [85] 4.7% --------------------------------------------------------------------------- f67 [70] 15.5% parse-loop15 [57] 84.5% [69] 6308(8.0%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:149:0 eval-prog [108] 100.0% --------------------------------------------------------------------------- append-map [116] 4.6% parse-loop15 [57] 8.6% map [81] 26.2% simplify [48] 59.1% [70] 3610(4.6%) 0(0.0%) f67 ...0/collects/racket/match/compiler.rkt:507:40 map [81] 74.3% eval-const-expr [69] 18.0% append-map [116] 6.1% --------------------------------------------------------------------------- for-loop [58] 100.0% [71] 2310(2.9%) 0(0.0%) rewrite-expression-head20 ...ore/matcher.rkt:126:0 rewriter [82] 100.0% --------------------------------------------------------------------------- simplify [48] 49.2% for-loop [60] 50.8% [72] 1298(1.7%) 0(0.0%) debug-print .../herbie/develop/src/debug.rkt:110:0 for-loop [83] 53.6% ??? [84] 46.4% --------------------------------------------------------------------------- sort-context-on-expr [63] 100.0% [73] 334(0.4%) 0(0.0%) ??? ...-7.0/collects/racket/private/sort.rkt:369:3 generic-sort/key [86] 100.0% --------------------------------------------------------------------------- for-loop [64] 100.0% [74] 326(0.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:253:8 expression-cost [109] 100.0% --------------------------------------------------------------------------- parse-loop15 [57] 100.0% [75] 300(0.4%) 0(0.0%) ??? ...ies/herbie/develop/src/core/reduce.rkt:59:5 for-loop [87] 100.0% --------------------------------------------------------------------------- parse-loop15 [57] 100.0% [76] 284(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:234:0 make-multiplication-subnode [88] 100.0% --------------------------------------------------------------------------- for-loop [65] 32.6% ??? [54] 67.4% [77] 42216(53.8%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 for-loop [89] 62.5% find-matches [90] 36.7% for-loop [103] 0.8% --------------------------------------------------------------------------- taylor-alt [67] 100.0% [78] 8852(11.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:141:6 ??? [136] 100.0% --------------------------------------------------------------------------- loop [66] 100.0% [79] 8444(10.8%) 332(0.4%) for-loop ...ie/develop/src/core/simplify.rkt:149:4 argmin [92] 35.1% loop [93] 34.9% expression-cost [109] 14.8% for-loop [97] 11.3% --------------------------------------------------------------------------- for-loop [68] 100.0% [80] 6788(8.7%) 308(0.4%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [91] 76.2% loop [96] 10.1% best-and-tied-at-points [99] 9.2% --------------------------------------------------------------------------- for-loop [35] 24.7% f67 [70] 75.3% [81] 4362(5.6%) 0(0.0%) map ...t-7.0/collects/racket/private/map.rkt:35:13 parse-loop15 [57] 36.4% f67 [70] 32.1% ??? [98] 17.2% point-error [104] 7.5% simplify-node [100] 6.8% --------------------------------------------------------------------------- rewrite-expression-head20 [71] 45.5% matcher [111] 54.5% [82] 2310(2.9%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:128:2 for-loop [94] 80.1% *rules* [95] 19.9% --------------------------------------------------------------------------- debug-print [72] 100.0% [83] 696(0.9%) 336(0.4%) for-loop ...ies/herbie/develop/src/debug.rkt:116:2 write-proc [101] 51.7% --------------------------------------------------------------------------- debug-print [72] 100.0% [84] 602(0.8%) 602(0.8%) ??? .../contract/private/arrow-val-first.rkt:428:3 --------------------------------------------------------------------------- for-loop [68] 100.0% [85] 336(0.4%) 0(0.0%) loop ...erbie/develop/src/core/alt-table.rkt:176:2 loop [96] 100.0% --------------------------------------------------------------------------- ??? [73] 100.0% [86] 334(0.4%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [102] 100.0% --------------------------------------------------------------------------- ??? [75] 100.0% [87] 300(0.4%) 300(0.4%) for-loop ...erbie/develop/src/core/reduce.rkt:60:7 --------------------------------------------------------------------------- make-multiplication-node [76] 100.0% [88] 284(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:244:0 for-loop [105] 100.0% --------------------------------------------------------------------------- one-iter [77] 100.0% [89] 26392(33.7%) 646(0.8%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [106] 92.9% reduce-to-single! [115] 2.5% update-leader! [141] 2.2% --------------------------------------------------------------------------- one-iter [77] 100.0% [90] 15490(19.8%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [107] 100.0% --------------------------------------------------------------------------- ??? [1] 5.5% for-loop [61] 10.3% atab-add-altn [80] 84.2% [91] 6140(7.8%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [110] 69.7% eval-prog [108] 30.3% --------------------------------------------------------------------------- for-loop [79] 100.0% [92] 2964(3.8%) 300(0.4%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 expression-cost [109] 53.2% for-loop [112] 36.6% --------------------------------------------------------------------------- for-loop [79] 100.0% [93] 2950(3.8%) 326(0.4%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [109] 66.6% for-loop [112] 22.4% --------------------------------------------------------------------------- rewriter [82] 100.0% [94] 2310(2.9%) 666(0.8%) for-loop ...ie/develop/src/core/matcher.rkt:131:10 matcher [111] 88.9% --------------------------------------------------------------------------- rewriter [82] 100.0% [95] 1310(1.7%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:783:0 for-loop [113] 100.0% --------------------------------------------------------------------------- loop [85] 32.9% atab-add-altn [80] 67.1% [96] 1020(1.3%) 1020(1.3%) loop ...-7.0/collects/racket/private/hash.rkt:20:4 --------------------------------------------------------------------------- for-loop [79] 100.0% [97] 950(1.2%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:153:16 for-loop [114] 100.0% --------------------------------------------------------------------------- map [81] 100.0% [98] 750(1.0%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [123] 100.0% --------------------------------------------------------------------------- atab-add-altn [80] 100.0% [99] 626(0.8%) 626(0.8%) best-and-tied-at-points ...ore/alt-table.rkt:117:0 --------------------------------------------------------------------------- simplify [48] 48.8% map [81] 51.2% [100] 582(0.7%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:48:0 combine-aterms [118] 51.2% append-map [116] 48.8% --------------------------------------------------------------------------- for-loop [83] 100.0% [101] 360(0.5%) 360(0.5%) write-proc ...bie/develop/src/alternative.rkt:15:9 --------------------------------------------------------------------------- generic-sort/key [86] 25.0% copying-mergesort [102] 75.0% [102] 334(0.4%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [102] 75.0% jloop [13] 25.0% --------------------------------------------------------------------------- one-iter [77] 100.0% [103] 334(0.4%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:111:2 set-precompute! [117] 100.0% --------------------------------------------------------------------------- map [81] 100.0% [104] 326(0.4%) 0(0.0%) point-error ...herbie/develop/src/points.rkt:195:0 ulp-difference [124] 100.0% --------------------------------------------------------------------------- make-multiplication-subnode [88] 100.0% [105] 284(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:246:3 partition [119] 100.0% --------------------------------------------------------------------------- for-loop [89] 100.0% [106] 24506(31.2%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [120] 100.0% --------------------------------------------------------------------------- for-loop [107] 50.0% find-matches [90] 50.0% [107] 15490(19.8%) 2702(3.4%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [107] 50.0% match-e [129] 41.3% --------------------------------------------------------------------------- loop [145] 4.5% errors [91] 21.8% eval-const-expr [69] 73.7% [108] 8556(10.9%) 300(0.4%) eval-prog ...herbie/develop/src/programs.rkt:130:0 temp68_2 [121] 92.7% hash-ref! [160] 3.8% --------------------------------------------------------------------------- for-loop [74] 6.4% for-loop [79] 24.4% argmin [92] 30.8% loop [93] 38.4% [109] 5116(6.5%) 0(0.0%) expression-cost .../develop/src/programs.rkt:204:0 compile [122] 100.0% --------------------------------------------------------------------------- errors [91] 100.0% [110] 4278(5.5%) 2598(3.3%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [123] 23.3% ulp-difference [124] 16.0% --------------------------------------------------------------------------- for-loop [22] 42.8% for-loop [94] 57.2% [111] 2310(2.9%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 ??? [7] 42.8% rewriter [82] 42.8% variable? [24] 14.5% --------------------------------------------------------------------------- loop [93] 37.8% argmin [92] 62.2% [112] 1746(2.2%) 818(1.0%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [197] 53.2% --------------------------------------------------------------------------- *rules* [95] 100.0% [113] 1310(1.7%) 682(0.9%) for-loop ...ies/herbie/develop/src/common.rkt:71:9 ormap [126] 47.9% --------------------------------------------------------------------------- for-loop [97] 100.0% [114] 950(1.2%) 950(1.2%) for-loop ...e/develop/src/core/simplify.rkt:157:23 --------------------------------------------------------------------------- for-loop [89] 100.0% [115] 656(0.8%) 0(0.0%) reduce-to-single! ...lop/src/core/egraph.rkt:320:0 for-loop [125] 100.0% --------------------------------------------------------------------------- simplify-node [100] 46.3% f67 [70] 53.7% [116] 614(0.8%) 0(0.0%) append-map ...t-7.0/collects/racket/list.rkt:586:2 parse-loop15 [57] 46.3% f67 [70] 40.3% free-variables [14] 13.4% --------------------------------------------------------------------------- for-loop [103] 100.0% [117] 334(0.4%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:117:0 for-loop [127] 100.0% --------------------------------------------------------------------------- simplify-node [100] 100.0% [118] 298(0.4%) 298(0.4%) combine-aterms ...evelop/src/core/reduce.rkt:187:0 --------------------------------------------------------------------------- for-loop [105] 100.0% [119] 284(0.4%) 284(0.4%) partition ...et-7.0/collects/racket/list.rkt:555:0 --------------------------------------------------------------------------- loop [106] 100.0% [120] 24506(31.2%) 362(0.5%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [128] 78.5% match-e [129] 13.8% set [180] 5.0% custom-set-intersect [133] 1.2% --------------------------------------------------------------------------- eval-prog [108] 100.0% [121] 7932(10.1%) 0(0.0%) temp68_2 (unknown source) compile16 [130] 100.0% --------------------------------------------------------------------------- expression-cost [109] 100.0% [122] 5116(6.5%) 306(0.4%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [160] 94.0% --------------------------------------------------------------------------- jloop [13] 8.3% ??? [98] 18.7% for-loop [110] 24.9% loop [40] 48.0% [123] 4002(5.1%) 334(0.4%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [136] 51.7% ??? [131] 39.9% --------------------------------------------------------------------------- point-error [104] 32.3% for-loop [110] 67.7% [124] 1010(1.3%) 1010(1.3%) ulp-difference ...erbie/develop/src/float.rkt:14:0 --------------------------------------------------------------------------- reduce-to-single! [115] 100.0% [125] 656(0.8%) 656(0.8%) for-loop ...rbie/develop/src/core/egraph.rkt:321:8 --------------------------------------------------------------------------- for-loop [113] 100.0% [126] 628(0.8%) 0(0.0%) ormap ....0/collects/racket/private/map.rkt:141:13 flag-set? [132] 100.0% --------------------------------------------------------------------------- set-precompute! [117] 100.0% [127] 334(0.4%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:119:2 merge-egraph-nodes! [134] 100.0% --------------------------------------------------------------------------- apply-match [120] 100.0% [128] 19240(24.5%) 352(0.4%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [134] 84.9% mk-enode! [165] 7.5% dedup-children! [164] 3.0% substitute-e [138] 2.8% --------------------------------------------------------------------------- apply-match [120] 14.9% for-loop [143] 22.0% for-loop [107] 63.1% [129] 16172(20.6%) 3162(4.0%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [135] 78.9% variable? [24] 2.1% ??? [55] 1.6% --------------------------------------------------------------------------- temp68_2 [121] 100.0% [130] 7932(10.1%) 0(0.0%) compile16 (unknown source) temp74_0 [137] 100.0% --------------------------------------------------------------------------- ??? [123] 100.0% [131] 1598(2.0%) 670(0.9%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [136] 39.3% ??? [140] 18.8% --------------------------------------------------------------------------- ormap [126] 100.0% [132] 628(0.8%) 628(0.8%) flag-set? ...es/herbie/develop/src/config.rkt:28:0 --------------------------------------------------------------------------- apply-match [120] 100.0% [133] 304(0.4%) 0(0.0%) custom-set-intersect ...rivate/set-types.rkt:195:0 for-loop [139] 100.0% --------------------------------------------------------------------------- for-loop [127] 2.0% for-loop [146] 9.6% merge-egraph-nodes! [134] 19.0% for-loop [128] 69.4% [134] 16668(21.3%) 584(0.7%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 update-leader! [141] 51.0% merge-egraph-nodes! [134] 19.0% loop! [163] 11.6% for-loop [146] 10.6% dedup-children! [164] 2.2% enode-merge! [155] 2.1% --------------------------------------------------------------------------- match-e [129] 100.0% [135] 14016(17.9%) 5706(7.3%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 for-loop [143] 43.8% loop [145] 4.8% foldl [168] 3.3% loop [154] 2.7% loop [151] 2.3% curry* [150] 2.3% cartesian-product [158] 2.1% --------------------------------------------------------------------------- loop [11] 4.7% ??? [131] 4.9% ??? [42] 5.1% loop [17] 8.5% ??? [3] 9.6% ??? [123] 16.2% location-do [142] 25.5% for-loop [78] 25.5% [136] 12810(16.3%) 314(0.4%) ??? ...tract/private/arrow-higher-order.rkt:357:33 location-do [142] 25.5% approximate9 [2] 20.6% hash-ref! [160] 18.1% ->flonum [147] 13.1% mk-ival [148] 5.3% sample-multi-bounded [149] 5.1% simplify [48] 4.9% ival-mult [152] 4.9% --------------------------------------------------------------------------- compile16 [130] 100.0% [137] 7932(10.1%) 0(0.0%) temp74_0 (unknown source) expand-single [144] 92.5% compile-top9 [153] 7.5% --------------------------------------------------------------------------- for-loop [128] 100.0% [138] 544(0.7%) 294(0.4%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [159] 46.0% --------------------------------------------------------------------------- custom-set-intersect [133] 100.0% [139] 304(0.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:207:3 for-loop [156] 100.0% --------------------------------------------------------------------------- ??? [131] 100.0% [140] 300(0.4%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-sub [157] 100.0% --------------------------------------------------------------------------- for-loop [89] 5.1% merge-egraph-nodes! [134] 94.9% [141] 11364(14.5%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [161] 94.5% for-loop [172] 5.5% --------------------------------------------------------------------------- location-do [142] 33.8% ??? [136] 66.2% [142] 8852(11.3%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 ??? [136] 66.2% location-do [142] 33.8% --------------------------------------------------------------------------- for-loop [135] 100.0% [143] 7716(9.8%) 552(0.7%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [129] 82.7% ??? [166] 13.7% --------------------------------------------------------------------------- temp74_0 [137] 100.0% [144] 7336(9.4%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [162] 100.0% --------------------------------------------------------------------------- for-loop [135] 0.3% loop! [163] 6.6% ??? [1] 8.8% parse-loop15 [57] 13.8% loop [145] 70.4% [145] 4362(5.6%) 334(0.4%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [145] 70.4% hash-ref! [160] 13.8% eval-prog [108] 8.8% loop! [163] 6.6% foldl [168] 0.2% --------------------------------------------------------------------------- merge-egraph-nodes! [134] 100.0% [146] 3594(4.6%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:199:4 merge-egraph-nodes! [134] 91.0% dedup-children! [164] 9.0% --------------------------------------------------------------------------- ??? [136] 100.0% [147] 1680(2.1%) 990(1.3%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 return/no-unsupplied [167] 41.1% --------------------------------------------------------------------------- ??? [136] 100.0% [148] 680(0.9%) 0(0.0%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 bf [169] 100.0% --------------------------------------------------------------------------- ??? [136] 100.0% [149] 656(0.8%) 656(0.8%) sample-multi-bounded ...evelop/src/points.rkt:16:0 --------------------------------------------------------------------------- for-loop [135] 100.0% [150] 642(0.8%) 0(0.0%) curry* ...et-7.0/collects/racket/function.rkt:44:2 procedure-arity [170] 100.0% --------------------------------------------------------------------------- loop [66] 48.7% for-loop [135] 51.3% [151] 632(0.8%) 632(0.8%) loop ...7.0/collects/racket/private/list.rkt:264:4 --------------------------------------------------------------------------- ??? [136] 100.0% [152] 628(0.8%) 0(0.0%) ival-mult ...bie/develop/src/biginterval.rkt:105:0 bf* [171] 100.0% --------------------------------------------------------------------------- temp74_0 [137] 100.0% [153] 596(0.8%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [173] 100.0% --------------------------------------------------------------------------- for-loop [135] 100.0% [154] 518(0.7%) 518(0.7%) loop ...cket-7.0/collects/racket/function.rkt:53:6 --------------------------------------------------------------------------- merge-egraph-nodes! [134] 100.0% [155] 356(0.5%) 0(0.0%) enode-merge! ...e/develop/src/core/enode.rkt:128:0 adopt-enode! [174] 100.0% --------------------------------------------------------------------------- for-loop [139] 100.0% [156] 304(0.4%) 304(0.4%) for-loop ...cts/racket/private/set-types.rkt:201:4 --------------------------------------------------------------------------- ??? [140] 100.0% [157] 300(0.4%) 300(0.4%) ival-sub ...erbie/develop/src/biginterval.rkt:93:0 --------------------------------------------------------------------------- for-loop [135] 100.0% [158] 290(0.4%) 290(0.4%) cartesian-product ...ollects/racket/list.rkt:822:0 --------------------------------------------------------------------------- substitute-e [138] 100.0% [159] 250(0.3%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 mk-enode! [165] 100.0% --------------------------------------------------------------------------- for-loop [26] 0.8% eval-prog [108] 1.3% for-loop [36] 1.4% ??? [192] 1.8% loop [145] 2.4% localize-error [62] 2.4% loop [45] 2.4% loop [17] 7.5% for-loop [19] 8.0% ??? [177] 12.1% compile [122] 16.5% ??? [136] 21.1% ??? [178] 21.5% [160] 12670(16.2%) 4810(6.1%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [178] 22.8% simplify [48] 21.0% ??? [177] 14.7% ??? [4] 8.0% ??? [3] 7.5% parse-loop15 [57] 4.8% ??? [8] 2.2% taylor [37] 1.3% ??? [12] 0.5% --------------------------------------------------------------------------- update-leader! [141] 100.0% [161] 10738(13.7%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 for-loop [175] 67.7% hash-update! [188] 32.3% --------------------------------------------------------------------------- expand-single [144] 100.0% [162] 7336(9.4%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [176] 95.5% loop [201] 4.5% --------------------------------------------------------------------------- loop [145] 38.9% merge-egraph-nodes! [134] 61.1% [163] 3602(4.6%) 640(0.8%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 custom-set-union [179] 39.1% loop [145] 38.9% set [180] 9.6% update-en-expr [206] 5.0% --------------------------------------------------------------------------- for-loop [146] 16.9% for-loop [128] 30.0% merge-egraph-nodes! [134] 53.2% [164] 1922(2.5%) 0(0.0%) dedup-children! ...evelop/src/core/enode.rkt:199:0 loop [181] 67.3% loop [185] 32.7% --------------------------------------------------------------------------- for-loop [159] 14.8% for-loop [128] 85.2% [165] 1684(2.1%) 1414(1.8%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 new-enode [187] 16.0% --------------------------------------------------------------------------- for-loop [143] 100.0% [166] 1210(1.5%) 1210(1.5%) ??? ...ies/herbie/develop/src/core/ematch.rkt:43:5 --------------------------------------------------------------------------- debug5 [59] 34.3% ->flonum [147] 65.7% [167] 1050(1.3%) 0(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [182] 100.0% --------------------------------------------------------------------------- loop [145] 35.0% for-loop [135] 65.0% [168] 960(1.2%) 300(0.4%) foldl ....0/collects/racket/private/list.rkt:229:4 merge2 [183] 68.8% --------------------------------------------------------------------------- mk-ival [148] 100.0% [169] 680(0.9%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [199] 52.1% ??? [186] 47.9% --------------------------------------------------------------------------- curry* [150] 100.0% [170] 642(0.8%) 642(0.8%) procedure-arity ...ket/private/norm-arity.rkt:7:27 --------------------------------------------------------------------------- ival-mult [152] 100.0% [171] 628(0.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [184] 100.0% --------------------------------------------------------------------------- update-leader! [141] 100.0% [172] 626(0.8%) 626(0.8%) for-loop ...rbie/develop/src/core/egraph.rkt:228:6 --------------------------------------------------------------------------- compile-top9 [153] 100.0% [173] 596(0.8%) 300(0.4%) compile-forms31 (unknown source) for-loop [196] 49.7% --------------------------------------------------------------------------- enode-merge! [155] 100.0% [174] 356(0.5%) 356(0.5%) adopt-enode! ...e/develop/src/core/enode.rkt:104:0 --------------------------------------------------------------------------- for-loop [161] 100.0% [175] 7268(9.3%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [188] 100.0% --------------------------------------------------------------------------- expand-capturing-lifts [162] 100.0% [176] 7008(8.9%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [189] 90.4% loop [201] 9.6% --------------------------------------------------------------------------- hash-ref! [160] 100.0% [177] 5976(7.6%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [160] 89.0% ??? [192] 5.6% simplify [48] 5.4% --------------------------------------------------------------------------- hash-ref! [160] 100.0% [178] 4556(5.8%) 324(0.4%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [160] 92.9% --------------------------------------------------------------------------- loop! [163] 100.0% [179] 1914(2.4%) 690(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [190] 63.9% --------------------------------------------------------------------------- loop! [163] 36.1% apply-match [120] 63.9% [180] 1904(2.4%) 988(1.3%) set ...collects/racket/private/set-types.rkt:981:0 for-loop [191] 48.1% --------------------------------------------------------------------------- dedup-children! [164] 30.9% loop [181] 69.1% [181] 1294(1.7%) 1294(1.7%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [181] 69.1% --------------------------------------------------------------------------- return/no-unsupplied [167] 100.0% [182] 1050(1.3%) 1050(1.3%) filter ...0/collects/racket/private/list.rkt:256:2 --------------------------------------------------------------------------- foldl [168] 100.0% [183] 660(0.8%) 660(0.8%) merge2 .../herbie/develop/src/core/ematch.rkt:24:0 --------------------------------------------------------------------------- bf* [171] 100.0% [184] 628(0.8%) 292(0.4%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [193] 53.5% --------------------------------------------------------------------------- dedup-children! [164] 16.4% loop [185] 83.6% [185] 628(0.8%) 0(0.0%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [185] 83.6% loop [201] 16.4% --------------------------------------------------------------------------- bf [169] 100.0% [186] 326(0.4%) 326(0.4%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 --------------------------------------------------------------------------- mk-enode! [165] 100.0% [187] 270(0.3%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:96:0 type-of-enode-expr [194] 100.0% --------------------------------------------------------------------------- for-loop [161] 32.3% for-loop [175] 67.7% [188] 10738(13.7%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [195] 100.0% --------------------------------------------------------------------------- lambda-clause-expander [176] 32.0% for-loop [196] 68.0% [189] 6338(8.1%) 0(0.0%) finish-bodys (unknown source) for-loop [196] 100.0% --------------------------------------------------------------------------- custom-set-union [179] 100.0% [190] 1224(1.6%) 326(0.4%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [198] 73.4% --------------------------------------------------------------------------- set [180] 100.0% [191] 916(1.2%) 916(1.2%) for-loop ...cts/racket/private/set-types.rkt:937:4 --------------------------------------------------------------------------- ??? [177] 49.9% for-loop [28] 50.1% [192] 670(0.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:294:19 hash-ref! [160] 100.0% --------------------------------------------------------------------------- ??? [184] 100.0% [193] 336(0.4%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [199] 100.0% --------------------------------------------------------------------------- new-enode [187] 100.0% [194] 270(0.3%) 0(0.0%) type-of-enode-expr ...elop/src/core/enode.rkt:69:0 table-ref [197] 100.0% --------------------------------------------------------------------------- hash-update! [188] 100.0% [195] 10738(13.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [200] 100.0% --------------------------------------------------------------------------- compile-forms31 [173] 4.5% fallback-loop [33] 5.2% for-loop [196] 19.9% finish-bodys [189] 70.4% [196] 6634(8.5%) 2260(2.9%) for-loop (unknown source) finish-bodys [189] 51.3% for-loop [196] 19.9% dispatch-transformer41 [5] 7.9% syntax-e [6] 3.7% add-local-binding!37 [202] 2.6% expand-implicit [9] 2.1% loop [201] 1.7% expand-identifier [10] 0.6% --------------------------------------------------------------------------- type-of-enode-expr [194] 22.5% for-loop [112] 77.5% [197] 1198(1.5%) 660(0.8%) table-ref ...es/herbie/develop/src/common.rkt:42:0 dict? [203] 22.5% for-loop [204] 22.4% --------------------------------------------------------------------------- for-loop [190] 100.0% [198] 898(1.1%) 898(1.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------------- bfmul [193] 48.7% bf [169] 51.3% [199] 690(0.9%) 690(0.9%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 --------------------------------------------------------------------------- ??? [195] 100.0% [200] 10738(13.7%) 10404(13.3%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 update-en-expr [206] 3.1% --------------------------------------------------------------------------- expand-capturing-lifts [162] 7.6% for-loop [196] 8.1% loop [185] 14.5% lambda-clause-expander [176] 15.5% apply-transformer52 [20] 15.5% syntax-e/no-taint [21] 38.8% [201] 4320(5.5%) 1292(1.6%) loop (unknown source) gf [205] 34.9% dispatch-transformer41 [5] 15.5% expand-id-application-form17 [207] 8.1% syntax-e [6] 8.0% core-form-sym [208] 7.5% --------------------------------------------------------------------------- for-loop [196] 100.0% [202] 968(1.2%) 968(1.2%) add-local-binding!37 (unknown source) --------------------------------------------------------------------------- table-ref [197] 100.0% [203] 270(0.3%) 270(0.3%) dict? ...ollects/racket/private/generic.rkt:146:11 --------------------------------------------------------------------------- table-ref [197] 100.0% [204] 268(0.3%) 268(0.3%) for-loop ...ies/herbie/develop/src/common.rkt:44:4 --------------------------------------------------------------------------- loop [201] 100.0% [205] 1686(2.1%) 700(0.9%) gf (unknown source) propagation-merge [209] 21.5% propagation-apply [210] 19.3% propagation-apply-shifted [211] 17.7% --------------------------------------------------------------------------- for-loop [200] 48.1% loop! [163] 51.9% [206] 694(0.9%) 694(0.9%) update-en-expr ...evelop/src/core/egraph.rkt:207:0 --------------------------------------------------------------------------- loop [201] 100.0% [207] 348(0.4%) 0(0.0%) expand-id-application-form17 (unknown source) resolve+shift28 [23] 100.0% --------------------------------------------------------------------------- loop [201] 100.0% [208] 324(0.4%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [23] 100.0% --------------------------------------------------------------------------- gf [205] 100.0% [209] 362(0.5%) 362(0.5%) propagation-merge (unknown source) --------------------------------------------------------------------------- gf [205] 100.0% [210] 326(0.4%) 326(0.4%) propagation-apply (unknown source) --------------------------------------------------------------------------- gf [205] 100.0% [211] 298(0.4%) 298(0.4%) propagation-apply-shifted (unknown source) ---------------------------------------------------------------------------