Profiling results ----------------- Total cpu time observed: 93574ms (out of 94052ms) Number of samples taken: 284 (once every 329ms) (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 ======================================================================== ??? [25] 100.0% [1] 93574(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% ------------------------------------------------------------------------ ??? [96] 100.0% [2] 9024(9.6%) 0(0.0%) approximate9 ...ie/master/src/core/taylor.rkt:12:0 loop [15] 88.5% taylor [29] 7.8% for-loop [24] 3.7% ------------------------------------------------------------------------ hash-ref! [149] 100.0% [3] 5958(6.4%) 0(0.0%) ??? ...es/herbie/master/src/core/taylor.rkt:301:23 for-loop [16] 100.0% ------------------------------------------------------------------------ hash-ref! [149] 100.0% [4] 5232(5.6%) 0(0.0%) ??? ...es/herbie/master/src/core/taylor.rkt:407:23 for-loop [17] 93.6% for-loop [27] 6.4% ------------------------------------------------------------------------ stx-list? [53] 12.5% loop [201] 24.1% for-loop [195] 63.4% [5] 2674(2.9%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [18] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [163] 15.4% for-loop [195] 34.4% loop [201] 50.2% [6] 1948(2.1%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [19] 100.0% ------------------------------------------------------------------------ loop [201] 100.0% [7] 1394(1.5%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [18] 100.0% ------------------------------------------------------------------------ for-loop [195] 100.0% [8] 1260(1.3%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [20] 100.0% ------------------------------------------------------------------------ matcher [113] 100.0% [9] 1044(1.1%) 0(0.0%) ??? ...s/herbie/master/src/core/matcher.rkt:130:11 for-loop [21] 100.0% ------------------------------------------------------------------------ hash-ref! [149] 100.0% [10] 694(0.7%) 0(0.0%) ??? ...es/herbie/master/src/core/taylor.rkt:510:23 for-loop [22] 100.0% ------------------------------------------------------------------------ ??? [25] 100.0% [11] 624(0.7%) 0(0.0%) get-final-combination ...er/src/mainloop.rkt:365:0 infer-splitpoints [23] 100.0% ------------------------------------------------------------------------ taylor [29] 100.0% [12] 340(0.4%) 0(0.0%) taylor-invert .../master/src/core/taylor.rkt:318:0 simplify [14] 100.0% ------------------------------------------------------------------------ profile-thunk16 [1] 100.0% [13] 93574(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [25] 100.0% ------------------------------------------------------------------------ taylor-invert [12] 3.8% hash-ref! [149] 96.2% [14] 9024(9.6%) 0(0.0%) simplify ...herbie/master/src/core/reduce.rkt:16:0 f46 [36] 61.5% parse-loop30 [26] 27.0% debug-print [30] 11.5% ------------------------------------------------------------------------ approximate9 [2] 100.0% [15] 7984(8.5%) 0(0.0%) loop ...ies/herbie/master/src/core/taylor.rkt:87:4 ??? [96] 86.7% hash-ref! [149] 13.3% ------------------------------------------------------------------------ ??? [3] 100.0% [16] 5958(6.4%) 0(0.0%) for-loop ...rbie/master/src/core/taylor.rkt:304:27 hash-ref! [149] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [17] 4898(5.2%) 0(0.0%) for-loop ...rbie/master/src/core/taylor.rkt:411:33 for-loop [27] 93.7% hash-ref! [149] 6.3% ------------------------------------------------------------------------ expand-id-application-form17 [7] 34.3% syntax-e [5] 65.7% [18] 4068(4.3%) 0(0.0%) syntax-e/no-taint (unknown source) loop [201] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [6] 100.0% [19] 1948(2.1%) 336(0.4%) apply-transformer52 (unknown source) apply-transformer-in-context [31] 49.7% loop [201] 33.1% ------------------------------------------------------------------------ expand-identifier [207] 33.5% expand-implicit [8] 66.5% [20] 1894(2.0%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [28] 100.0% ------------------------------------------------------------------------ ??? [9] 100.0% [21] 1044(1.1%) 0(0.0%) for-loop ...bie/master/src/core/matcher.rkt:132:15 matcher [113] 100.0% ------------------------------------------------------------------------ ??? [10] 100.0% [22] 694(0.7%) 0(0.0%) for-loop ...rbie/master/src/core/taylor.rkt:514:35 parse-loop30 [26] 100.0% ------------------------------------------------------------------------ get-final-combination [11] 100.0% [23] 624(0.7%) 0(0.0%) infer-splitpoints ...ter/src/core/regimes.rkt:34:0 for-loop [32] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [24] 334(0.4%) 0(0.0%) for-loop ...erbie/master/src/core/taylor.rkt:30:18 taylor [29] 100.0% ------------------------------------------------------------------------ for-loop [125] 0.1% for-loop [110] 2.8% run [13] 48.5% [25] 93574(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 48.5% run-improve47 [33] 39.7% prepare-points [34] 5.6% oracle-error [37] 2.2% ??? [62] 1.8% infer-double-representation [181] 0.7% errors [97] 0.5% precision->real [183] 0.3% eval-errors [42] 0.3% get-final-combination [11] 0.3% eval-const-expr [35] 0.1% ------------------------------------------------------------------------ for-loop [22] 4.0% hash-ref! [149] 10.6% simplify [14] 24.3% map [57] 61.0% [26] 8588(9.2%) 992(1.1%) parse-loop30 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [35] 49.5% map [57] 16.2% f46 [36] 9.4% loop [148] 9.3% for-loop [40] 4.0% ------------------------------------------------------------------------ ??? [4] 6.8% for-loop [17] 93.2% [27] 4922(5.3%) 0(0.0%) for-loop ...rbie/master/src/core/taylor.rkt:413:39 hash-ref! [149] 100.0% ------------------------------------------------------------------------ resolve+shift28 [20] 100.0% [28] 1894(2.0%) 600(0.6%) fallback-loop (unknown source) for-loop [195] 68.3% ------------------------------------------------------------------------ for-loop [24] 16.1% approximate9 [2] 17.2% taylor [29] 66.8% [29] 1040(1.1%) 0(0.0%) taylor .../herbie/master/src/core/taylor.rkt:170:0 taylor [29] 66.8% loop [39] 27.8% taylor-invert [12] 5.4% ------------------------------------------------------------------------ simplify [14] 100.0% [30] 1034(1.1%) 0(0.0%) debug-print ...s/herbie/master/src/debug.rkt:110:0 ??? [38] 67.7% for-loop [43] 32.3% ------------------------------------------------------------------------ apply-transformer52 [19] 100.0% [31] 968(1.0%) 0(0.0%) apply-transformer-in-context (unknown source) go [44] 34.5% ??? [45] 34.5% parse-lambda [46] 31.0% ------------------------------------------------------------------------ infer-splitpoints [23] 100.0% [32] 624(0.7%) 0(0.0%) for-loop ...erbie/master/src/core/regimes.rkt:46:6 option-on-expr [41] 100.0% ------------------------------------------------------------------------ ??? [25] 100.0% [33] 76392(81.6%) 0(0.0%) run-improve47 ...bie/master/src/mainloop.rkt:342:0 for-loop [47] 89.5% simplify! [61] 10.5% ------------------------------------------------------------------------ ??? [25] 100.0% [34] 10532(11.3%) 0(0.0%) prepare-points ...rbie/master/src/points.rkt:146:0 loop [48] 100.0% ------------------------------------------------------------------------ ??? [25] 4.8% f46 [36] 13.5% parse-loop30 [26] 81.8% [35] 7006(7.5%) 0(0.0%) eval-const-expr ...e/master/src/programs.rkt:111:0 eval-prog [108] 100.0% ------------------------------------------------------------------------ parse-loop30 [26] 5.0% loop [148] 9.6% map [57] 30.0% simplify [14] 55.4% [36] 5552(5.9%) 326(0.3%) f46 ...0/collects/racket/match/compiler.rkt:507:40 map [57] 94.6% eval-const-expr [35] 4.0% ------------------------------------------------------------------------ ??? [25] 100.0% [37] 4026(4.3%) 0(0.0%) oracle-error ...herbie/master/src/points.rkt:188:0 for-loop [49] 100.0% ------------------------------------------------------------------------ debug-print [30] 100.0% [38] 700(0.7%) 334(0.4%) ??? .../contract/private/arrow-val-first.rkt:428:3 mk-call [52] 52.3% ------------------------------------------------------------------------ taylor [29] 100.0% [39] 700(0.7%) 0(0.0%) loop ...es/herbie/master/src/core/taylor.rkt:268:2 hash-ref! [149] 100.0% ------------------------------------------------------------------------ parse-loop30 [26] 100.0% [40] 694(0.7%) 0(0.0%) for-loop ...rbie/master/src/core/taylor.rkt:517:59 hash-ref! [149] 100.0% ------------------------------------------------------------------------ for-loop [32] 100.0% [41] 624(0.7%) 0(0.0%) option-on-expr ...aster/src/core/regimes.rkt:126:0 for-loop [50] 100.0% ------------------------------------------------------------------------ ??? [25] 100.0% [42] 598(0.6%) 0(0.0%) eval-errors .../herbie/master/src/points.rkt:179:0 for-loop [51] 100.0% ------------------------------------------------------------------------ debug-print [30] 100.0% [43] 334(0.4%) 334(0.4%) for-loop ...lies/herbie/master/src/debug.rkt:116:2 ------------------------------------------------------------------------ apply-transformer-in-context [31]100.0% [44] 334(0.4%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 stx-list? [53] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [31]100.0% [45] 334(0.4%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [54] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [31]100.0% [46] 300(0.3%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:585:2 datum->syntax [55] 100.0% ------------------------------------------------------------------------ run-improve47 [33] 100.0% [47] 68386(73.1%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:359:4 run-iter! [56] 100.0% ------------------------------------------------------------------------ prepare-points [34] 100.0% [48] 10532(11.3%) 0(0.0%) loop ...ghtlies/herbie/master/src/points.rkt:122:4 ??? [58] 55.4% loop [59] 38.9% infer-representation [191] 5.6% ------------------------------------------------------------------------ oracle-error [37] 100.0% [49] 4026(4.3%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:189:2 loop [148] 50.8% map [57] 49.2% ------------------------------------------------------------------------ option-on-expr [41] 100.0% [50] 624(0.7%) 0(0.0%) for-loop ...rbie/master/src/core/regimes.rkt:137:4 errors [97] 100.0% ------------------------------------------------------------------------ eval-errors [42] 100.0% [51] 598(0.6%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:181:2 ??? [62] 100.0% ------------------------------------------------------------------------ ??? [38] 100.0% [52] 366(0.4%) 366(0.4%) mk-call ...tract/private/arrow-val-first.rkt:431:5 ------------------------------------------------------------------------ go [44] 100.0% [53] 334(0.4%) 0(0.0%) stx-list? .../collects/racket/private/stx.rkt:49:4 syntax-e [5] 100.0% ------------------------------------------------------------------------ ??? [45] 100.0% [54] 334(0.4%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [60] 100.0% ------------------------------------------------------------------------ parse-lambda [46] 100.0% [55] 300(0.3%) 300(0.3%) datum->syntax (unknown source) ------------------------------------------------------------------------ for-loop [47] 100.0% [56] 68386(73.1%) 0(0.0%) run-iter! .../herbie/master/src/mainloop.rkt:323:0 simplify! [61] 68.9% finalize-iter! [63] 14.6% gen-series! [64] 13.2% gen-rewrites! [65] 2.0% localize! [66] 1.3% ------------------------------------------------------------------------ parse-loop30 [26] 12.6% for-loop [49] 23.5% f46 [36] 63.9% [57] 8440(9.0%) 336(0.4%) map ...t-7.0/collects/racket/private/map.rkt:35:13 parse-loop30 [26] 44.7% f46 [36] 21.1% ??? [167] 19.5% hash-ref! [149] 7.3% loop [148] 1.8% loop [67] 1.6% ------------------------------------------------------------------------ loop [48] 100.0% [58] 5838(6.2%) 1250(1.3%) ??? ...ightlies/herbie/master/src/points.rkt:106:2 ??? [96] 73.4% ??? [81] 5.1% ------------------------------------------------------------------------ loop [48] 100.0% [59] 4102(4.4%) 610(0.7%) loop ...ightlies/herbie/master/src/points.rkt:81:2 ??? [62] 77.9% ??? [134] 7.3% ------------------------------------------------------------------------ ??? [54] 100.0% [60] 334(0.4%) 0(0.0%) syntax->list (unknown source) loop [201] 100.0% ------------------------------------------------------------------------ run-improve47 [33] 14.5% run-iter! [56] 85.5% [61] 55142(58.9%) 0(0.0%) simplify! .../herbie/master/src/mainloop.rkt:220:0 ??? [68] 100.0% ------------------------------------------------------------------------ loop [148] 2.8% for-loop [51] 5.1% ??? [167] 23.1% loop [59] 27.0% ??? [25] 41.9% [62] 11808(12.6%) 0(0.0%) ??? ...htlies/herbie/master/src/programs.rkt:108:2 ??? [70] 80.7% real->precision [72] 13.8% ??? [81] 2.8% ??? [96] 2.6% ------------------------------------------------------------------------ run-iter! [56] 100.0% [63] 9956(10.6%) 0(0.0%) finalize-iter! ...ie/master/src/mainloop.rkt:274:0 ??? [69] 100.0% ------------------------------------------------------------------------ run-iter! [56] 100.0% [64] 9024(9.6%) 0(0.0%) gen-series! ...erbie/master/src/mainloop.rkt:156:0 for-loop [71] 100.0% ------------------------------------------------------------------------ run-iter! [56] 100.0% [65] 1362(1.5%) 0(0.0%) gen-rewrites! ...bie/master/src/mainloop.rkt:179:0 for-loop [73] 76.7% for-loop [76] 23.3% ------------------------------------------------------------------------ run-iter! [56] 100.0% [66] 908(1.0%) 0(0.0%) localize! .../herbie/master/src/mainloop.rkt:123:0 localize-error [74] 100.0% ------------------------------------------------------------------------ map [57] 4.7% loop [67] 95.3% [67] 596(0.6%) 0(0.0%) loop ...-7.0/collects/racket/private/map.rkt:54:19 loop [67] 95.3% ??? [75] 4.7% ------------------------------------------------------------------------ simplify! [61] 100.0% [68] 55142(58.9%) 0(0.0%) ??? ...es/herbie/master/src/core/simplify.rkt:26:0 for-loop [77] 61.0% one-iter [86] 36.6% loop [82] 2.4% ------------------------------------------------------------------------ substitute-e [124] 2.2% match-e [121] 7.0% variable? [132] 16.5% finalize-iter! [63] 74.3% [69] 13408(14.3%) 3154(3.4%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [78] 69.6% atab-add-altns [84] 4.7% ??? [199] 2.2% ------------------------------------------------------------------------ ??? [62] 100.0% [70] 9534(10.2%) 1634(1.7%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [80] 59.0% ??? [81] 17.1% ??? [96] 6.8% ------------------------------------------------------------------------ gen-series! [64] 100.0% [71] 9024(9.6%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:163:7 taylor-alt [79] 100.0% ------------------------------------------------------------------------ ??? [62] 100.0% [72] 1628(1.7%) 300(0.3%) real->precision ...e/master/src/programs.rkt:87:33 infer-representation [191] 81.6% ------------------------------------------------------------------------ gen-rewrites! [65] 100.0% [73] 1044(1.1%) 0(0.0%) for-loop .../herbie/master/src/mainloop.rkt:187:11 rewrite-expression-head20 [83] 100.0% ------------------------------------------------------------------------ localize! [66] 100.0% [74] 908(1.0%) 0(0.0%) localize-error ...aster/src/core/localize.rkt:61:0 hash-ref! [149] 100.0% ------------------------------------------------------------------------ loop [67] 100.0% [75] 596(0.6%) 0(0.0%) ??? ...s/herbie/master/src/core/localize.rkt:52:36 infer-double-representation [181]100.0% ------------------------------------------------------------------------ gen-rewrites! [65] 100.0% [76] 318(0.3%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:204:4 for-loop [85] 100.0% ------------------------------------------------------------------------ ??? [68] 100.0% [77] 33632(35.9%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:33:2 one-iter [86] 100.0% ------------------------------------------------------------------------ ??? [69] 100.0% [78] 9330(10.0%) 334(0.4%) for-loop ...bie/master/src/core/alt-table.rkt:56:2 atab-add-altn [88] 58.5% errors [97] 30.5% loop [92] 7.3% ------------------------------------------------------------------------ for-loop [71] 100.0% [79] 9024(9.6%) 0(0.0%) taylor-alt ...herbie/master/src/mainloop.rkt:142:0 for-loop [87] 100.0% ------------------------------------------------------------------------ ??? [70] 100.0% [80] 5626(6.0%) 3252(3.5%) ??? .../herbie/master/src/syntax/syntax.rkt:207:17 return/no-unsupplied [197] 25.6% ??? [198] 11.3% ??? [199] 5.3% ------------------------------------------------------------------------ ??? [58] 13.3% ??? [62] 14.8% ??? [70] 72.0% [81] 2264(2.4%) 658(0.7%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-exp [89] 57.7% ??? [93] 13.3% ------------------------------------------------------------------------ ??? [68] 100.0% [82] 1340(1.4%) 370(0.4%) loop .../herbie/master/src/core/simplify.rkt:104:2 for-loop [91] 72.4% ------------------------------------------------------------------------ for-loop [73] 100.0% [83] 1044(1.1%) 0(0.0%) rewrite-expression-head20 ...core/matcher.rkt:87:0 rewriter [90] 100.0% ------------------------------------------------------------------------ ??? [69] 100.0% [84] 626(0.7%) 0(0.0%) atab-add-altns ...ster/src/core/alt-table.rkt:50:0 atab-add-altn [88] 100.0% ------------------------------------------------------------------------ for-loop [76] 100.0% [85] 318(0.3%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:205:6 ??? [96] 100.0% ------------------------------------------------------------------------ ??? [68] 37.5% for-loop [77] 62.5% [86] 53802(57.5%) 0(0.0%) one-iter ...rbie/master/src/core/simplify.rkt:65:0 find-matches [94] 53.0% for-loop [95] 44.0% for-loop [98] 2.4% for-loop [105] 0.6% ------------------------------------------------------------------------ taylor-alt [79] 100.0% [87] 9024(9.6%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:148:6 ??? [96] 100.0% ------------------------------------------------------------------------ atab-add-altns [84] 10.3% for-loop [78] 89.7% [88] 6088(6.5%) 0(0.0%) atab-add-altn ...ster/src/core/alt-table.rkt:203:0 errors [97] 85.1% override-at-pnts [101] 14.9% ------------------------------------------------------------------------ ??? [81] 100.0% [89] 1306(1.4%) 1006(1.1%) ival-exp ...erbie/master/src/biginterval.rkt:180:0 bfexp [104] 23.0% ------------------------------------------------------------------------ rewrite-expression-head20 [83] 33.3% matcher [113] 66.7% [90] 1044(1.1%) 0(0.0%) rewriter ...erbie/master/src/core/matcher.rkt:90:2 for-loop [99] 88.5% *rules* [103] 11.5% ------------------------------------------------------------------------ loop [82] 100.0% [91] 970(1.0%) 0(0.0%) for-loop ...bie/master/src/core/simplify.rkt:110:4 for-loop [100] 100.0% ------------------------------------------------------------------------ for-loop [78] 100.0% [92] 684(0.7%) 0(0.0%) loop ...herbie/master/src/core/alt-table.rkt:177:2 loop [102] 100.0% ------------------------------------------------------------------------ ??? [81] 100.0% [93] 300(0.3%) 300(0.3%) ??? ...cts/racket/contract/private/list.rkt:209:10 ------------------------------------------------------------------------ one-iter [86] 100.0% [94] 28532(30.5%) 0(0.0%) find-matches .../master/src/core/simplify.rkt:55:0 for-loop [106] 100.0% ------------------------------------------------------------------------ one-iter [86] 100.0% [95] 23664(25.3%) 300(0.3%) for-loop ...rbie/master/src/core/simplify.rkt:67:2 for-loop [107] 98.7% ------------------------------------------------------------------------ ??? [62] 2.1% for-loop [85] 2.2% ??? [171] 2.4% ??? [70] 4.4% loop [15] 15.8% location-do [109] 21.8% for-loop [87] 21.8% ??? [58] 29.4% [96] 14586(15.6%) 1810(1.9%) ??? ...tract/private/arrow-higher-order.rkt:357:33 location-do [109] 21.8% approximate9 [2] 21.8% hash-ref! [149] 18.2% sample-multi-bounded [111] 17.0% ival-mult [116] 4.4% do-chaperone-procedure [118] 2.2% mk-ival [119] 2.1% ------------------------------------------------------------------------ for-loop [50] 6.2% ??? [25] 13.9% for-loop [78] 28.3% atab-add-altn [88] 51.5% [97] 10054(10.7%) 0(0.0%) errors ...tlies/herbie/master/src/points.rkt:205:0 for-loop [110] 78.4% eval-prog [108] 21.6% ------------------------------------------------------------------------ one-iter [86] 100.0% [98] 1308(1.4%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:72:2 set-precompute! [112] 100.0% ------------------------------------------------------------------------ rewriter [90] 100.0% [99] 1044(1.1%) 0(0.0%) for-loop ...erbie/master/src/core/matcher.rkt:92:4 matcher [113] 78.2% for-loop [115] 21.8% ------------------------------------------------------------------------ for-loop [91] 100.0% [100] 970(1.0%) 342(0.4%) for-loop ...ie/master/src/core/simplify.rkt:114:16 andmap [117] 34.0% for-loop [120] 30.7% ------------------------------------------------------------------------ atab-add-altn [88] 100.0% [101] 910(1.0%) 0(0.0%) override-at-pnts ...r/src/core/alt-table.rkt:138:0 for-loop [114] 100.0% ------------------------------------------------------------------------ loop [92] 3.3% loop [102] 96.7% [102] 684(0.7%) 684(0.7%) loop ...racket-7.0/collects/racket/list.rkt:434:28 loop [102] 96.7% ------------------------------------------------------------------------ rewriter [90] 100.0% [103] 360(0.4%) 360(0.4%) *rules* ...erbie/master/src/syntax/rules.rkt:666:0 ------------------------------------------------------------------------ ival-exp [89] 100.0% [104] 300(0.3%) 0(0.0%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:618:4 ??? [134] 100.0% ------------------------------------------------------------------------ one-iter [86] 100.0% [105] 298(0.3%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:75:2 update-leader! [140] 100.0% ------------------------------------------------------------------------ for-loop [106] 49.4% find-matches [94] 50.6% [106] 28532(30.5%) 668(0.7%) for-loop ...rbie/master/src/core/simplify.rkt:57:8 for-loop [106] 49.4% match-e [121] 48.8% ------------------------------------------------------------------------ for-loop [95] 100.0% [107] 23364(25.0%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:70:4 merge-egraph-nodes! [130] 72.9% dedup-children! [151] 17.7% substitute-e [124] 6.8% mk-enode! [144] 2.6% ------------------------------------------------------------------------ errors [97] 23.7% eval-const-expr [35] 76.3% [108] 9178(9.8%) 0(0.0%) eval-prog ...s/herbie/master/src/programs.rkt:83:0 temp68_2 [122] 100.0% ------------------------------------------------------------------------ ??? [96] 37.6% location-do [109] 62.4% [109] 9024(9.6%) 0(0.0%) location-do ...herbie/master/src/programs.rkt:64:0 location-do [109] 62.4% ??? [96] 37.6% ------------------------------------------------------------------------ errors [97] 100.0% [110] 7882(8.4%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:207:2 ??? [25] 100.0% ------------------------------------------------------------------------ ??? [96] 100.0% [111] 2478(2.6%) 350(0.4%) sample-multi-bounded ...master/src/points.rkt:15:0 random-ranges [123] 85.9% ------------------------------------------------------------------------ for-loop [98] 100.0% [112] 1308(1.4%) 0(0.0%) set-precompute! ...ster/src/core/simplify.rkt:79:0 for-loop [125] 100.0% ------------------------------------------------------------------------ for-loop [21] 50.0% for-loop [99] 50.0% [113] 1044(1.1%) 0(0.0%) matcher ...erbie/master/src/core/matcher.rkt:118:2 ??? [9] 50.0% rewriter [90] 50.0% ------------------------------------------------------------------------ override-at-pnts [101] 100.0% [114] 910(1.0%) 608(0.6%) for-loop ...e/master/src/core/alt-table.rkt:139:22 ??? [128] 33.2% ------------------------------------------------------------------------ for-loop [99] 100.0% [115] 684(0.7%) 0(0.0%) for-loop ...erbie/master/src/core/matcher.rkt:99:8 fix-up-variables [126] 100.0% ------------------------------------------------------------------------ ??? [96] 100.0% [116] 644(0.7%) 308(0.3%) ival-mult ...rbie/master/src/biginterval.rkt:112:0 bfexpt [184] 52.2% ------------------------------------------------------------------------ for-loop [100] 100.0% [117] 330(0.4%) 330(0.4%) andmap ...0/collects/racket/private/map.rkt:102:13 ------------------------------------------------------------------------ ??? [96] 100.0% [118] 318(0.3%) 318(0.3%) do-chaperone-procedure ...et/private/kw.rkt:1762:2 ------------------------------------------------------------------------ ??? [96] 100.0% [119] 312(0.3%) 0(0.0%) mk-ival .../herbie/master/src/biginterval.rkt:57:0 bf [127] 100.0% ------------------------------------------------------------------------ for-loop [100] 100.0% [120] 298(0.3%) 298(0.3%) for-loop ...ie/master/src/core/simplify.rkt:118:23 ------------------------------------------------------------------------ for-loop [138] 29.6% for-loop [106] 70.4% [121] 27864(29.8%) 3100(3.3%) match-e .../herbie/master/src/core/ematch.rkt:39:0 for-loop [129] 83.3% variable? [132] 4.4% constant? [182] 3.0% ??? [69] 1.1% ------------------------------------------------------------------------ eval-prog [108] 100.0% [122] 9178(9.8%) 0(0.0%) temp68_2 (unknown source) compile16 [131] 100.0% ------------------------------------------------------------------------ sample-multi-bounded [111] 100.0% [123] 2128(2.3%) 1828(2.0%) random-ranges ...erbie/master/src/common.rkt:183:0 cons/c [137] 14.1% ------------------------------------------------------------------------ for-loop [133] 26.0% for-loop [107] 74.0% [124] 1592(1.7%) 634(0.7%) substitute-e ...ie/master/src/core/ematch.rkt:64:0 for-loop [133] 67.5% ??? [69] 6.2% ------------------------------------------------------------------------ set-precompute! [112] 100.0% [125] 1308(1.4%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:81:2 setfindf [136] 49.4% ??? [25] 25.5% merge-egraph-nodes! [130] 25.1% ------------------------------------------------------------------------ for-loop [115] 100.0% [126] 684(0.7%) 0(0.0%) fix-up-variables ...ter/src/core/matcher.rkt:111:2 for-loop [135] 100.0% ------------------------------------------------------------------------ mk-ival [119] 100.0% [127] 312(0.3%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 ??? [134] 100.0% ------------------------------------------------------------------------ for-loop [114] 100.0% [128] 302(0.3%) 302(0.3%) ??? ...7.0/collects/racket/private/for.rkt:1208:14 ------------------------------------------------------------------------ match-e [121] 100.0% [129] 26068(27.9%) 7178(7.7%) for-loop ...erbie/master/src/core/ematch.rkt:52:11 for-loop [138] 46.3% loop [148] 27.2% cp-2 [143] 3.7% filter [202] 1.3% ------------------------------------------------------------------------ for-loop [125] 1.9% for-loop [142] 2.3% merge-egraph-nodes! [130] 9.2% for-loop [107] 86.6% [130] 17362(18.6%) 300(0.3%) merge-egraph-nodes! ...r/src/core/egraph.rkt:143:0 update-leader! [140] 39.1% loop! [141] 34.2% dedup-children! [151] 10.6% merge-egraph-nodes! [130] 9.2% for-loop [142] 6.0% ------------------------------------------------------------------------ temp68_2 [122] 100.0% [131] 9178(9.8%) 0(0.0%) compile16 (unknown source) temp74_0 [139] 100.0% ------------------------------------------------------------------------ match-e [121] 100.0% [132] 3488(3.7%) 0(0.0%) variable? ...ie/master/src/syntax/syntax.rkt:722:0 ??? [69] 63.5% value? [190] 36.5% ------------------------------------------------------------------------ substitute-e [124] 100.0% [133] 1282(1.4%) 0(0.0%) for-loop ...erbie/master/src/core/ematch.rkt:73:24 mk-enode! [144] 51.5% substitute-e [124] 48.5% ------------------------------------------------------------------------ loop [59] 32.7% bfexp [104] 33.0% bf [127] 34.3% [134] 910(1.0%) 910(1.0%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ------------------------------------------------------------------------ fix-up-variables [126] 100.0% [135] 684(0.7%) 0(0.0%) for-loop ...erbie/master/src/core/matcher.rkt:42:9 for-loop [145] 100.0% ------------------------------------------------------------------------ for-loop [125] 100.0% [136] 646(0.7%) 0(0.0%) setfindf ...ies/herbie/master/src/common.rkt:142:0 for-loop [146] 100.0% ------------------------------------------------------------------------ random-ranges [123] 100.0% [137] 300(0.3%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:478:15 coerce-contract [147] 100.0% ------------------------------------------------------------------------ for-loop [129] 100.0% [138] 15238(16.3%) 636(0.7%) for-loop ...erbie/master/src/core/ematch.rkt:58:37 match-e [121] 93.6% ??? [159] 2.2% ------------------------------------------------------------------------ compile16 [131] 100.0% [139] 9178(9.8%) 0(0.0%) temp74_0 (unknown source) expand-single [150] 96.4% compile-top9 [160] 3.6% ------------------------------------------------------------------------ for-loop [105] 3.9% merge-egraph-nodes! [130] 96.1% [140] 7548(8.1%) 0(0.0%) update-leader! ...master/src/core/egraph.rkt:211:0 for-loop [152] 87.5% for-loop [157] 8.5% hash-ref! [149] 4.1% ------------------------------------------------------------------------ loop [148] 20.9% merge-egraph-nodes! [130] 79.1% [141] 7020(7.5%) 982(1.0%) loop! ...es/herbie/master/src/core/enode.rkt:187:2 custom-set-union [153] 60.8% loop [148] 23.1% set [154] 7.0% update-en-expr [203] 2.1% ------------------------------------------------------------------------ merge-egraph-nodes! [130] 100.0% [142] 1668(1.8%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:197:4 merge-egraph-nodes! [130] 61.2% dedup-children! [151] 38.8% ------------------------------------------------------------------------ for-loop [129] 100.0% [143] 1300(1.4%) 366(0.4%) cp-2 .../racket-7.0/collects/racket/list.rkt:826:2 for-loop [156] 71.8% ------------------------------------------------------------------------ for-loop [107] 47.6% for-loop [133] 52.4% [144] 1260(1.3%) 300(0.3%) mk-enode! ...erbie/master/src/core/egraph.rkt:97:0 new-enode [155] 76.2% ------------------------------------------------------------------------ for-loop [135] 100.0% [145] 684(0.7%) 0(0.0%) for-loop ...erbie/master/src/core/matcher.rkt:27:9 core651 [158] 52.9% fallback-update [161] 47.1% ------------------------------------------------------------------------ setfindf [136] 100.0% [146] 646(0.7%) 0(0.0%) for-loop ...ies/herbie/master/src/common.rkt:143:2 constant? [182] 100.0% ------------------------------------------------------------------------ cons/c [137] 100.0% [147] 300(0.3%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:285:0 coerce-contract/f [162] 100.0% ------------------------------------------------------------------------ map [57] 0.4% for-loop [129] 1.5% loop! [141] 1.9% parse-loop30 [26] 7.0% for-loop [49] 12.3% loop [148] 77.0% [148] 13978(14.9%) 2302(2.5%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [148] 77.0% ??? [167] 9.9% f46 [36] 7.0% ??? [62] 2.4% loop! [141] 1.8% foldl [166] 1.5% ??? [176] 0.4% ------------------------------------------------------------------------ for-loop [17] 0.8% for-loop [40] 1.9% loop [15] 2.8% localize-error [74] 2.9% loop [39] 3.0% update-leader! [140] 3.1% map [57] 6.2% for-loop [27] 12.8% for-loop [16] 16.6% ??? [164] 25.0% ??? [96] 25.0% [149] 9898(10.6%) 306(0.3%) hash-ref! .../racket/private/more-scheme.rkt:376:2 simplify [14] 27.9% ??? [164] 25.0% ??? [3] 16.6% ??? [4] 13.6% parse-loop30 [26] 9.2% ??? [171] 2.8% ??? [10] 1.9% ------------------------------------------------------------------------ temp74_0 [139] 100.0% [150] 8844(9.5%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [163] 100.0% ------------------------------------------------------------------------ for-loop [142] 9.4% merge-egraph-nodes! [130] 30.9% for-loop [107] 59.7% [151] 6930(7.4%) 0(0.0%) dedup-children! ...master/src/core/enode.rkt:195:0 loop [165] 82.0% loop [170] 18.0% ------------------------------------------------------------------------ update-leader! [140] 100.0% [152] 6604(7.1%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:216:6 hash-update! [179] 62.2% for-loop [168] 37.8% ------------------------------------------------------------------------ loop! [141] 100.0% [153] 4452(4.8%) 1970(2.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [169] 42.3% for-loop [173] 13.5% ------------------------------------------------------------------------ loop! [141] 100.0% [154] 980(1.0%) 980(1.0%) set ...collects/racket/private/set-types.rkt:981:0 ------------------------------------------------------------------------ mk-enode! [144] 100.0% [155] 960(1.0%) 0(0.0%) new-enode ...herbie/master/src/core/enode.rkt:94:0 type-of-enode-expr [172] 65.4% check-valid-enode5 [175] 34.6% ------------------------------------------------------------------------ cp-2 [143] 100.0% [156] 934(1.0%) 934(1.0%) for-loop ...ket-7.0/collects/racket/list.rkt:827:4 ------------------------------------------------------------------------ update-leader! [140] 100.0% [157] 638(0.7%) 638(0.7%) for-loop ...erbie/master/src/core/egraph.rkt:226:6 ------------------------------------------------------------------------ for-loop [145] 100.0% [158] 362(0.4%) 362(0.4%) core651 ...acket/contract/private/arr-i.rkt:918:19 ------------------------------------------------------------------------ for-loop [138] 100.0% [159] 334(0.4%) 334(0.4%) ??? ...lies/herbie/master/src/core/ematch.rkt:43:5 ------------------------------------------------------------------------ temp74_0 [139] 100.0% [160] 334(0.4%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [174] 100.0% ------------------------------------------------------------------------ for-loop [145] 100.0% [161] 322(0.3%) 322(0.3%) fallback-update ...s/racket/private/dict.rkt:115:2 ------------------------------------------------------------------------ coerce-contract [147] 100.0% [162] 300(0.3%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:350:0 coerce-simple-value [177] 100.0% ------------------------------------------------------------------------ expand-single [150] 100.0% [163] 8844(9.5%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [178] 96.6% dispatch-transformer41 [6] 3.4% ------------------------------------------------------------------------ hash-ref! [149] 100.0% [164] 7984(8.5%) 0(0.0%) ??? ...ies/herbie/master/src/core/taylor.rkt:45:15 hash-ref! [149] 100.0% ------------------------------------------------------------------------ dedup-children! [151] 4.0% loop [165] 96.0% [165] 5680(6.1%) 5680(6.1%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [165] 96.0% ------------------------------------------------------------------------ loop [148] 100.0% [166] 4732(5.1%) 1326(1.4%) foldl ....0/collects/racket/private/list.rkt:229:4 merge2 [180] 72.0% ------------------------------------------------------------------------ map [57] 49.0% loop [148] 51.0% [167] 3356(3.6%) 0(0.0%) ??? ...ghtlies/herbie/master/src/points.rkt:190:26 ??? [62] 81.4% infer-double-representation [181] 9.7% precision->real [183] 8.9% ------------------------------------------------------------------------ for-loop [152] 100.0% [168] 2498(2.7%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:217:8 hash-update! [179] 100.0% ------------------------------------------------------------------------ custom-set-union [153] 100.0% [169] 1882(2.0%) 1256(1.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [185] 33.3% ------------------------------------------------------------------------ dedup-children! [151] 31.8% loop [170] 68.2% [170] 1250(1.3%) 0(0.0%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [170] 68.2% loop [201] 19.8% member [187] 11.9% ------------------------------------------------------------------------ hash-ref! [149] 100.0% [171] 1060(1.1%) 0(0.0%) ??? ...ies/herbie/master/src/core/taylor.rkt:68:15 ??? [96] 100.0% ------------------------------------------------------------------------ new-enode [155] 100.0% [172] 628(0.7%) 0(0.0%) type-of-enode-expr ...ster/src/core/enode.rkt:66:0 table-ref [186] 52.2% constant? [182] 47.8% ------------------------------------------------------------------------ custom-set-union [153] 100.0% [173] 600(0.6%) 600(0.6%) for-loop ...cts/racket/private/set-types.rkt:152:2 ------------------------------------------------------------------------ compile-top9 [160] 100.0% [174] 334(0.4%) 0(0.0%) compile-forms31 (unknown source) for-loop [195] 100.0% ------------------------------------------------------------------------ new-enode [155] 100.0% [175] 332(0.4%) 332(0.4%) check-valid-enode5 ...ter/src/core/enode.rkt:204:0 ------------------------------------------------------------------------ loop [148] 100.0% [176] 312(0.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfexpt [184] 100.0% ------------------------------------------------------------------------ coerce-contract/f [162] 100.0% [177] 300(0.3%) 300(0.3%) coerce-simple-value ...ract/private/guts.rkt:363:0 ------------------------------------------------------------------------ expand-capturing-lifts [163] 100.0% [178] 8544(9.1%) 300(0.3%) lambda-clause-expander (unknown source) finish-bodys [188] 85.0% loop [201] 11.4% ------------------------------------------------------------------------ for-loop [168] 37.8% for-loop [152] 62.2% [179] 6604(7.1%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [189] 100.0% ------------------------------------------------------------------------ foldl [166] 100.0% [180] 3406(3.6%) 3406(3.6%) merge2 ...s/herbie/master/src/core/ematch.rkt:24:0 ------------------------------------------------------------------------ ??? [167] 11.1% ??? [75] 20.4% ??? [25] 68.5% [181] 2928(3.1%) 298(0.3%) infer-double-representation .../src/float.rkt:22:0 for-loop [192] 89.8% ------------------------------------------------------------------------ type-of-enode-expr [172] 10.5% for-loop [146] 22.7% match-e [121] 66.8% [182] 2848(3.0%) 0(0.0%) constant? ...ie/master/src/syntax/syntax.rkt:719:0 value? [190] 100.0% ------------------------------------------------------------------------ ??? [167] 24.3% ??? [25] 75.7% [183] 1224(1.3%) 0(0.0%) precision->real ...e/master/src/programs.rkt:92:33 infer-representation [191] 100.0% ------------------------------------------------------------------------ ??? [176] 48.1% ival-mult [116] 51.9% [184] 648(0.7%) 0(0.0%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [193] 100.0% ------------------------------------------------------------------------ for-loop [169] 100.0% [185] 626(0.7%) 626(0.7%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------ type-of-enode-expr [172] 100.0% [186] 328(0.4%) 0(0.0%) table-ref ...ies/herbie/master/src/common.rkt:45:0 for-loop [194] 100.0% ------------------------------------------------------------------------ loop [170] 100.0% [187] 298(0.3%) 298(0.3%) member (unknown source) ------------------------------------------------------------------------ lambda-clause-expander [178] 20.0% for-loop [195] 80.0% [188] 7266(7.8%) 0(0.0%) finish-bodys (unknown source) for-loop [195] 100.0% ------------------------------------------------------------------------ hash-update! [179] 100.0% [189] 6604(7.1%) 0(0.0%) ??? ...es/herbie/master/src/core/egraph.rkt:219:24 for-loop [196] 100.0% ------------------------------------------------------------------------ variable? [132] 30.9% constant? [182] 69.1% [190] 4122(4.4%) 4122(4.4%) value? .../herbie/master/src/syntax/types.rkt:18:0 ------------------------------------------------------------------------ loop [48] 18.8% precision->real [183] 38.9% real->precision [72] 42.2% [191] 3144(3.4%) 2162(2.3%) infer-representation .../master/src/float.rkt:15:0 return/no-unsupplied [197] 19.0% list-member? [200] 12.3% ------------------------------------------------------------------------ infer-double-representation [181]100.0% [192] 2630(2.8%) 1314(1.4%) for-loop ...tlies/herbie/master/src/float.rkt:17:3 ??? [198] 37.7% ??? [199] 12.3% ------------------------------------------------------------------------ bfexpt [184] 100.0% [193] 648(0.7%) 648(0.7%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ------------------------------------------------------------------------ table-ref [186] 100.0% [194] 328(0.4%) 328(0.4%) for-loop ...lies/herbie/master/src/common.rkt:47:4 ------------------------------------------------------------------------ fallback-loop [28] 1.4% compile-forms31 [174] 4.4% for-loop [195] 6.3% finish-bodys [188] 88.0% [195] 7600(8.1%) 2270(2.4%) for-loop (unknown source) finish-bodys [188] 69.9% for-loop [195] 6.3% syntax-e [5] 2.8% loop [201] 2.0% expand-implicit [8] 1.5% dispatch-transformer41 [6] 1.0% add-local-binding!37 [205] 0.7% expand-identifier [207] 0.4% ------------------------------------------------------------------------ ??? [189] 100.0% [196] 6604(7.1%) 5970(6.4%) for-loop ...rbie/master/src/core/egraph.rkt:220:26 update-en-expr [203] 9.6% ------------------------------------------------------------------------ infer-representation [191] 29.3% ??? [80] 70.7% [197] 2036(2.2%) 1378(1.5%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [202] 32.3% ------------------------------------------------------------------------ ??? [80] 39.1% for-loop [192] 60.9% [198] 1628(1.7%) 1002(1.1%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ??? [204] 38.5% ------------------------------------------------------------------------ ??? [69] 32.4% ??? [80] 32.4% for-loop [192] 35.2% [199] 920(1.0%) 920(1.0%) ??? ...ects/racket/contract/private/guts.rkt:746:8 ------------------------------------------------------------------------ infer-representation [191] 100.0% [200] 386(0.4%) 386(0.4%) list-member? ...llects/racket/private/set.rkt:24:0 ------------------------------------------------------------------------ syntax->list [60] 1.9% loop [201] 2.0% lambda-clause-expander [178] 6.3% apply-transformer52 [19] 7.3% loop [170] 15.8% for-loop [195] 21.5% syntax-e/no-taint [18] 45.1% [201] 6012(6.4%) 1596(1.7%) loop (unknown source) gf [206] 43.4% expand-id-application-form17 [7] 10.6% dispatch-transformer41 [6] 6.3% expand-identifier [207] 5.6% core-form-sym [209] 5.4% syntax-e [5] 3.6% loop [201] 2.0% ------------------------------------------------------------------------ return/no-unsupplied [197] 49.5% for-loop [129] 50.5% [202] 1330(1.4%) 1330(1.4%) filter ...0/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------ loop! [141] 32.0% for-loop [196] 68.0% [203] 932(1.0%) 932(1.0%) update-en-expr ...master/src/core/egraph.rkt:205:0 ------------------------------------------------------------------------ ??? [198] 100.0% [204] 626(0.7%) 626(0.7%) ??? ...ects/racket/contract/private/prop.rkt:274:4 ------------------------------------------------------------------------ for-loop [195] 100.0% [205] 346(0.4%) 0(0.0%) add-local-binding!37 (unknown source) binding-table-add [208] 100.0% ------------------------------------------------------------------------ loop [201] 100.0% [206] 3758(4.0%) 1060(1.1%) gf (unknown source) propagation-apply [210] 54.9% propagation-apply-shifted [211] 16.9% ------------------------------------------------------------------------ for-loop [195] 47.3% loop [201] 52.7% [207] 634(0.7%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [20] 100.0% ------------------------------------------------------------------------ add-local-binding!37 [205] 100.0% [208] 346(0.4%) 346(0.4%) binding-table-add (unknown source) ------------------------------------------------------------------------ loop [201] 100.0% [209] 324(0.3%) 324(0.3%) core-form-sym (unknown source) ------------------------------------------------------------------------ gf [206] 100.0% [210] 2062(2.2%) 2062(2.2%) propagation-apply (unknown source) ------------------------------------------------------------------------ gf [206] 100.0% [211] 636(0.7%) 636(0.7%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------