Profiling results ----------------- Total cpu time observed: 63812ms (out of 64028ms) Number of samples taken: 222 (once every 287ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 215 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [27] 100.0% [1] 63812(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ------------------------------------------------------------------------ ??? [149] 100.0% [2] 5316(8.3%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [17] 77.4% for-loop [23] 16.4% taylor [29] 6.2% ------------------------------------------------------------------------ hash-ref! [163] 100.0% [3] 2648(4.1%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:68:15 ??? [149] 74.1% hash-ref! [163] 25.9% ------------------------------------------------------------------------ hash-ref! [163] 100.0% [4] 1970(3.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:407:23 for-loop [20] 87.1% for-loop [26] 12.9% ------------------------------------------------------------------------ hash-ref! [163] 100.0% [5] 1962(3.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:301:23 for-loop [18] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [151] 31.9% loop [187] 33.6% for-loop [200] 34.5% [6] 1724(2.7%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [19] 100.0% ------------------------------------------------------------------------ hash-ref! [163] 100.0% [7] 1270(2.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:291:26 for-loop [22] 100.0% ------------------------------------------------------------------------ for-loop [200] 31.6% loop [187] 68.4% [8] 866(1.4%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [21] 100.0% ------------------------------------------------------------------------ hash-ref! [163] 100.0% [9] 594(0.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:510:23 for-loop [24] 100.0% ------------------------------------------------------------------------ matcher [113] 100.0% [10] 584(0.9%) 0(0.0%) ??? .../herbie/develop/src/core/matcher.rkt:175:11 for-loop [25] 100.0% ------------------------------------------------------------------------ match-e [126] 100.0% [11] 508(0.8%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [72] 100.0% ------------------------------------------------------------------------ loop [187] 100.0% [12] 280(0.4%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [21] 100.0% ------------------------------------------------------------------------ gf [202] 100.0% [13] 266(0.4%) 0(0.0%) cache-or-reuse-hash (unknown source) for-loop [200] 100.0% ------------------------------------------------------------------------ taylor [29] 100.0% [14] 266(0.4%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:334:0 simplify [16] 100.0% ------------------------------------------------------------------------ profile-thunk16 [1] 100.0% [15] 63812(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [27] 100.0% ------------------------------------------------------------------------ taylor-quotient [14] 5.4% hash-ref! [163] 94.6% [16] 4956(7.8%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f67 [28] 58.1% parse-loop80 [65] 17.8% debug5 [32] 6.7% simplify* [33] 6.5% debug-print [35] 5.5% make-multiplication-node [36] 5.4% ------------------------------------------------------------------------ approximate9 [2] 100.0% [17] 4112(6.4%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 hash-ref! [163] 64.4% ??? [149] 26.8% for-loop [31] 8.8% ------------------------------------------------------------------------ ??? [5] 100.0% [18] 1962(3.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:304:27 hash-ref! [163] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [6] 100.0% [19] 1724(2.7%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [30] 53.7% for-loop [200] 16.5% apply-post-expansion [37] 15.4% loop [187] 14.4% ------------------------------------------------------------------------ ??? [4] 100.0% [20] 1716(2.7%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:413:39 hash-ref! [163] 100.0% ------------------------------------------------------------------------ gf [202] 18.8% expand-id-application-form17 [12] 19.8% syntax-e [8] 61.3% [21] 1412(2.2%) 260(0.4%) syntax-e/no-taint (unknown source) loop [187] 81.6% ------------------------------------------------------------------------ ??? [7] 100.0% [22] 1270(2.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:291:52 hash-ref! [163] 77.6% ??? [34] 22.4% ------------------------------------------------------------------------ approximate9 [2] 100.0% [23] 872(1.4%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [29] 100.0% ------------------------------------------------------------------------ ??? [9] 100.0% [24] 594(0.9%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:514:35 parse-loop80 [65] 100.0% ------------------------------------------------------------------------ ??? [10] 100.0% [25] 584(0.9%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [113] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [26] 254(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:411:33 hash-ref! [163] 100.0% ------------------------------------------------------------------------ for-loop [121] 0.1% for-loop [110] 1.4% run [15] 49.2% [27] 63812(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.2% run-improve40 [38] 41.2% prepare-points-intervals [39] 4.5% oracle-error [40] 1.6% ??? [136] 1.1% get-final-combination [41] 0.7% errors [97] 0.5% eval-errors [122] 0.2% baseline-error [44] 0.2% errors-score [45] 0.2% ulp-difference [170] 0.2% ??? [149] 0.2% eval-const-expr [74] 0.1% ------------------------------------------------------------------------ map [57] 20.7% simplify [16] 79.3% [28] 2878(4.5%) 0(0.0%) f67 ...0/collects/racket/match/compiler.rkt:507:40 map [57] 75.0% eval-const-expr [74] 25.0% ------------------------------------------------------------------------ approximate9 [2] 27.6% taylor [29] 33.2% for-loop [23] 39.2% [29] 1204(1.9%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 taylor [29] 33.2% loop [42] 31.8% map [57] 27.6% taylor-quotient [14] 7.4% ------------------------------------------------------------------------ apply-transformer52 [19] 100.0% [30] 926(1.5%) 334(0.5%) apply-transformer-in-context (unknown source) ??? [43] 35.9% parse-app [47] 28.1% ------------------------------------------------------------------------ loop [17] 100.0% [31] 360(0.6%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:96:29 ??? [158] 100.0% ------------------------------------------------------------------------ simplify [16] 100.0% [32] 332(0.5%) 0(0.0%) debug5 ...tlies/herbie/develop/src/debug.rkt:102:0 ??? [72] 100.0% ------------------------------------------------------------------------ simplify [16] 100.0% [33] 324(0.5%) 324(0.5%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 ------------------------------------------------------------------------ for-loop [22] 100.0% [34] 284(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:294:19 hash-ref! [163] 100.0% ------------------------------------------------------------------------ simplify [16] 100.0% [35] 272(0.4%) 272(0.4%) debug-print .../herbie/develop/src/debug.rkt:110:0 ------------------------------------------------------------------------ simplify [16] 100.0% [36] 266(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:234:0 make-multiplication-subnode [46] 100.0% ------------------------------------------------------------------------ apply-transformer52 [19] 100.0% [37] 266(0.4%) 0(0.0%) apply-post-expansion (unknown source) gf [202] 100.0% ------------------------------------------------------------------------ ??? [27] 100.0% [38] 53314(83.5%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:336:0 for-loop [48] 99.5% simplify! [62] 0.5% ------------------------------------------------------------------------ ??? [27] 100.0% [39] 5796(9.1%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [49] 100.0% ------------------------------------------------------------------------ ??? [27] 100.0% [40] 2086(3.3%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [50] 100.0% ------------------------------------------------------------------------ ??? [27] 100.0% [41] 856(1.3%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:357:0 infer-splitpoints [51] 100.0% ------------------------------------------------------------------------ taylor [29] 100.0% [42] 606(0.9%) 0(0.0%) loop ...s/herbie/develop/src/core/taylor.rkt:268:2 hash-ref! [163] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [30]100.0% [43] 332(0.5%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [52] 100.0% ------------------------------------------------------------------------ ??? [27] 100.0% [44] 302(0.5%) 0(0.0%) baseline-error ...bie/develop/src/points.rkt:216:0 argmin [99] 100.0% ------------------------------------------------------------------------ ??? [27] 100.0% [45] 272(0.4%) 0(0.0%) errors-score ...erbie/develop/src/points.rkt:220:0 loop [53] 100.0% ------------------------------------------------------------------------ make-multiplication-node [36] 100.0% [46] 266(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:244:0 group-by61 [54] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [30]100.0% [47] 260(0.4%) 0(0.0%) parse-app ...collects/racket/private/kw.rkt:1105:2 syntax->list [60] 100.0% ------------------------------------------------------------------------ run-improve40 [38] 100.0% [48] 53066(83.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:351:4 run-iter! [55] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [39] 100.0% [49] 5796(9.1%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [56] 81.6% ??? [58] 18.4% ------------------------------------------------------------------------ oracle-error [40] 100.0% [50] 2086(3.3%) 286(0.4%) for-loop ...es/herbie/develop/src/points.rkt:213:2 map [57] 43.1% loop [142] 43.1% ------------------------------------------------------------------------ get-final-combination [41] 100.0% [51] 856(1.3%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:34:0 for-loop [59] 100.0% ------------------------------------------------------------------------ ??? [43] 100.0% [52] 332(0.5%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [60] 100.0% ------------------------------------------------------------------------ errors-score [45] 100.0% [53] 272(0.4%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:559:2 ordinary-value? [61] 100.0% ------------------------------------------------------------------------ make-multiplication-subnode [46] 100.0% [54] 266(0.4%) 266(0.4%) group-by61 ...t-7.0/collects/racket/list.rkt:771:0 ------------------------------------------------------------------------ for-loop [48] 100.0% [55] 53066(83.2%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:317:0 simplify! [62] 79.5% gen-series! [63] 10.0% finalize-iter! [64] 9.3% gen-rewrites! [67] 1.1% ------------------------------------------------------------------------ loop [49] 100.0% [56] 4732(7.4%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [136] 94.5% ??? [149] 5.5% ------------------------------------------------------------------------ taylor [29] 9.6% for-loop [50] 26.1% f67 [28] 64.3% [57] 3448(5.4%) 290(0.5%) map ...t-7.0/collects/racket/private/map.rkt:35:13 parse-loop80 [65] 35.7% f67 [28] 18.9% simplify-node [68] 9.7% taylor-invert [69] 9.6% ??? [70] 9.2% point-error [154] 8.5% ------------------------------------------------------------------------ loop [49] 100.0% [58] 1064(1.7%) 0(0.0%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [149] 100.0% ------------------------------------------------------------------------ infer-splitpoints [51] 100.0% [59] 856(1.3%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:46:6 option-on-expr [66] 100.0% ------------------------------------------------------------------------ parse-app [47] 43.9% ??? [52] 56.1% [60] 592(0.9%) 0(0.0%) syntax->list (unknown source) loop [187] 100.0% ------------------------------------------------------------------------ loop [53] 100.0% [61] 272(0.4%) 272(0.4%) ordinary-value? ...rbie/develop/src/float.rkt:54:0 ------------------------------------------------------------------------ run-improve40 [38] 0.6% run-iter! [55] 99.4% [62] 42456(66.5%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:213:0 ??? [71] 98.6% for-loop [75] 1.4% ------------------------------------------------------------------------ run-iter! [55] 100.0% [63] 5316(8.3%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:149:0 for-loop [73] 100.0% ------------------------------------------------------------------------ run-iter! [55] 100.0% [64] 4958(7.8%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:268:0 ??? [72] 100.0% ------------------------------------------------------------------------ for-loop [24] 16.4% simplify [16] 31.5% map [57] 52.1% [65] 2810(4.4%) 274(0.4%) parse-loop80 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [74] 73.8% for-loop [76] 16.4% ------------------------------------------------------------------------ for-loop [59] 100.0% [66] 856(1.3%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:150:0 sort-context-on-expr [78] 67.8% loop [142] 32.2% ------------------------------------------------------------------------ run-iter! [55] 100.0% [67] 584(0.9%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:172:0 for-loop [77] 100.0% ------------------------------------------------------------------------ map [57] 100.0% [68] 334(0.5%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:48:0 combine-mterms [79] 100.0% ------------------------------------------------------------------------ map [57] 100.0% [69] 332(0.5%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:318:0 first-nonzero-exp [80] 100.0% ------------------------------------------------------------------------ map [57] 100.0% [70] 318(0.5%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [136] 100.0% ------------------------------------------------------------------------ simplify! [62] 100.0% [71] 41848(65.6%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 for-loop [81] 56.2% one-iter [89] 22.4% loop [82] 21.5% ------------------------------------------------------------------------ substitute-e [139] 4.1% debug5 [32] 4.7% variable? [11] 7.3% match-e [126] 13.0% finalize-iter! [64] 70.9% [72] 6996(11.0%) 1748(2.7%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [84] 70.9% ??? [88] 4.1% ------------------------------------------------------------------------ gen-series! [63] 100.0% [73] 5316(8.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:156:7 taylor-alt [83] 100.0% ------------------------------------------------------------------------ ??? [27] 7.3% f67 [28] 27.8% parse-loop80 [65] 64.9% [74] 3402(5.3%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:149:0 eval-prog [109] 100.0% ------------------------------------------------------------------------ simplify! [62] 100.0% [75] 608(1.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:252:6 for-loop [85] 100.0% ------------------------------------------------------------------------ parse-loop80 [65] 100.0% [76] 594(0.9%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:517:59 hash-ref! [163] 100.0% ------------------------------------------------------------------------ gen-rewrites! [67] 100.0% [77] 584(0.9%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:180:11 rewrite-expression-head20 [86] 100.0% ------------------------------------------------------------------------ option-on-expr [66] 100.0% [78] 580(0.9%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:145:0 ??? [87] 100.0% ------------------------------------------------------------------------ simplify-node [68] 100.0% [79] 334(0.5%) 334(0.5%) combine-mterms ...evelop/src/core/reduce.rkt:195:0 ------------------------------------------------------------------------ taylor-invert [69] 100.0% [80] 332(0.5%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:266:0 hash-ref! [163] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [81] 23508(36.8%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [89] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [82] 8986(14.1%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:143:2 for-loop [90] 100.0% ------------------------------------------------------------------------ for-loop [73] 100.0% [83] 5316(8.3%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:135:0 for-loop [91] 100.0% ------------------------------------------------------------------------ ??? [72] 100.0% [84] 4958(7.8%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [92] 100.0% ------------------------------------------------------------------------ for-loop [75] 100.0% [85] 608(1.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:253:8 expression-cost [108] 100.0% ------------------------------------------------------------------------ for-loop [77] 100.0% [86] 584(0.9%) 0(0.0%) rewrite-expression-head20 ...ore/matcher.rkt:126:0 rewriter [93] 100.0% ------------------------------------------------------------------------ sort-context-on-expr [78] 100.0% [87] 580(0.9%) 0(0.0%) ??? ...-7.0/collects/racket/private/sort.rkt:369:3 generic-sort/key [94] 100.0% ------------------------------------------------------------------------ ??? [72] 100.0% [88] 290(0.5%) 290(0.5%) ??? ...ects/racket/contract/private/guts.rkt:746:8 ------------------------------------------------------------------------ ??? [71] 28.5% for-loop [81] 71.5% [89] 32862(51.5%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 for-loop [95] 49.2% find-matches [96] 46.6% for-loop [100] 4.2% ------------------------------------------------------------------------ loop [82] 100.0% [90] 8986(14.1%) 250(0.4%) for-loop ...ie/develop/src/core/simplify.rkt:149:4 loop [98] 38.5% argmin [99] 21.1% expression-cost [108] 19.0% for-loop [101] 12.3% for-loop [111] 6.4% ------------------------------------------------------------------------ taylor-alt [83] 100.0% [91] 5316(8.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:141:6 ??? [149] 100.0% ------------------------------------------------------------------------ for-loop [84] 100.0% [92] 4958(7.8%) 550(0.9%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [97] 77.9% best-and-tied-at-points [103] 11.1% ------------------------------------------------------------------------ rewrite-expression-head20 [86] 29.1% matcher [113] 70.9% [93] 584(0.9%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:128:2 for-loop [102] 83.7% *rules* [105] 16.3% ------------------------------------------------------------------------ ??? [87] 100.0% [94] 580(0.9%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [104] 51.4% loop [114] 48.6% ------------------------------------------------------------------------ one-iter [89] 100.0% [95] 16178(25.4%) 300(0.5%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [106] 96.4% update-leader! [141] 1.8% ------------------------------------------------------------------------ one-iter [89] 100.0% [96] 15310(24.0%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [107] 100.0% ------------------------------------------------------------------------ ??? [27] 18.4% atab-add-altn [92] 81.6% [97] 4730(7.4%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [110] 69.5% eval-prog [109] 30.5% ------------------------------------------------------------------------ for-loop [90] 100.0% [98] 3458(5.4%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [108] 69.1% for-loop [111] 30.9% ------------------------------------------------------------------------ baseline-error [44] 13.7% for-loop [90] 86.3% [99] 2198(3.4%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 for-loop [111] 48.8% expression-cost [108] 37.5% ??? [116] 13.7% ------------------------------------------------------------------------ one-iter [89] 100.0% [100] 1374(2.2%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:111:2 set-precompute! [112] 100.0% ------------------------------------------------------------------------ for-loop [90] 100.0% [101] 1102(1.7%) 1102(1.7%) for-loop ...e/develop/src/core/simplify.rkt:153:16 ------------------------------------------------------------------------ rewriter [93] 100.0% [102] 584(0.9%) 298(0.5%) for-loop ...ie/develop/src/core/matcher.rkt:131:10 matcher [113] 87.2% ------------------------------------------------------------------------ atab-add-altn [92] 100.0% [103] 548(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:117:0 for-loop [115] 100.0% ------------------------------------------------------------------------ copying-mergesort [104] 50.0% generic-sort/key [94] 50.0% [104] 298(0.5%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [104] 50.0% loop [114] 50.0% ------------------------------------------------------------------------ rewriter [93] 100.0% [105] 286(0.4%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:783:0 for-loop [117] 100.0% ------------------------------------------------------------------------ for-loop [95] 100.0% [106] 15592(24.4%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [118] 100.0% ------------------------------------------------------------------------ for-loop [107] 49.2% find-matches [96] 50.8% [107] 15310(24.0%) 2762(4.3%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [107] 49.2% match-e [126] 41.0% ------------------------------------------------------------------------ for-loop [85] 11.0% argmin [99] 14.9% for-loop [90] 30.9% loop [98] 43.2% [108] 5528(8.7%) 856(1.3%) expression-cost .../develop/src/programs.rkt:204:0 compile [119] 84.5% ------------------------------------------------------------------------ errors [97] 29.8% eval-const-expr [74] 70.2% [109] 4844(7.6%) 300(0.5%) eval-prog ...herbie/develop/src/programs.rkt:130:0 temp68_2 [120] 65.4% loop [187] 11.4% eval [123] 11.2% inductor [125] 5.9% ------------------------------------------------------------------------ errors [97] 100.0% [110] 3288(5.2%) 610(1.0%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [27] 81.4% ------------------------------------------------------------------------ for-loop [90] 21.1% loop [98] 39.4% argmin [99] 39.5% [111] 2714(4.3%) 528(0.8%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [201] 80.5% ------------------------------------------------------------------------ for-loop [100] 100.0% [112] 1374(2.2%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:117:0 for-loop [121] 100.0% ------------------------------------------------------------------------ for-loop [25] 50.0% for-loop [102] 50.0% [113] 584(0.9%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 ??? [10] 50.0% rewriter [93] 50.0% ------------------------------------------------------------------------ generic-sort/key [94] 48.6% copying-mergesort [104] 51.4% [114] 580(0.9%) 0(0.0%) loop ...7.0/collects/racket/private/sort.rkt:96:12 ??? [136] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [103] 100.0% [115] 548(0.9%) 548(0.9%) for-loop .../develop/src/core/alt-table.rkt:119:16 ------------------------------------------------------------------------ argmin [99] 100.0% [116] 302(0.5%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:217:27 eval-errors [122] 100.0% ------------------------------------------------------------------------ *rules* [105] 100.0% [117] 286(0.4%) 0(0.0%) for-loop ...ies/herbie/develop/src/common.rkt:71:9 ormap [124] 100.0% ------------------------------------------------------------------------ loop [106] 100.0% [118] 15592(24.4%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [127] 86.1% match-e [126] 12.3% set [175] 1.6% ------------------------------------------------------------------------ expression-cost [108] 100.0% [119] 4672(7.3%) 844(1.3%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [163] 81.9% ------------------------------------------------------------------------ eval-prog [109] 100.0% [120] 3168(5.0%) 0(0.0%) temp68_2 (unknown source) compile16 [128] 100.0% ------------------------------------------------------------------------ set-precompute! [112] 100.0% [121] 1374(2.2%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:119:2 merge-egraph-nodes! [135] 42.4% setfindf [130] 39.6% ??? [27] 18.0% ------------------------------------------------------------------------ ??? [116] 48.9% ??? [27] 51.1% [122] 618(1.0%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [129] 100.0% ------------------------------------------------------------------------ eval-prog [109] 100.0% [123] 542(0.8%) 0(0.0%) eval (unknown source) add-ns-scopes [132] 50.2% namespace-syntax-introduce3 [133] 49.8% ------------------------------------------------------------------------ for-loop [117] 100.0% [124] 286(0.4%) 0(0.0%) ormap ....0/collects/racket/private/map.rkt:141:13 flag-set? [131] 100.0% ------------------------------------------------------------------------ eval-prog [109] 100.0% [125] 284(0.4%) 284(0.4%) inductor .../herbie/develop/src/programs.rkt:135:4 ------------------------------------------------------------------------ apply-match [118] 8.5% for-loop [140] 25.8% for-loop [107] 65.7% [126] 14468(22.7%) 2698(4.2%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [134] 74.6% make-sequence [138] 7.3% ??? [72] 2.1% variable? [11] 1.2% ------------------------------------------------------------------------ apply-match [118] 100.0% [127] 13424(21.0%) 250(0.4%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [135] 75.8% dedup-children! [152] 13.7% substitute-e [139] 6.5% mk-enode! [157] 2.2% ------------------------------------------------------------------------ temp68_2 [120] 100.0% [128] 3168(5.0%) 0(0.0%) compile16 (unknown source) temp74_0 [137] 100.0% ------------------------------------------------------------------------ eval-errors [122] 100.0% [129] 618(1.0%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ??? [149] 51.1% ??? 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[135] 3.9% for-loop [121] 5.4% for-loop [127] 89.5% [135] 10760(16.9%) 246(0.4%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 update-leader! [141] 62.3% loop! [153] 14.7% dedup-children! [152] 7.7% enode-merge! [146] 5.3% merge-egraph-nodes! [135] 3.9% for-loop [147] 3.8% ------------------------------------------------------------------------ for-loop [129] 3.6% ??? [70] 3.8% loop [142] 6.7% loop [114] 7.0% ??? [27] 24.9% loop [56] 53.9% [136] 8296(13.0%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [149] 61.5% ??? [143] 38.5% ------------------------------------------------------------------------ compile16 [128] 100.0% [137] 3168(5.0%) 0(0.0%) temp74_0 (unknown source) expand-single [144] 89.6% compile-top9 [148] 10.4% ------------------------------------------------------------------------ match-e [126] 100.0% [138] 1056(1.7%) 1056(1.7%) make-sequence ...ects/racket/private/for.rkt:528:2 ------------------------------------------------------------------------ for-loop [145] 22.2% for-loop [127] 77.8% [139] 870(1.4%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [145] 88.9% ??? [72] 11.1% ------------------------------------------------------------------------ for-loop [134] 100.0% [140] 7364(11.5%) 834(1.3%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [126] 90.6% ------------------------------------------------------------------------ for-loop [95] 4.1% merge-egraph-nodes! [135] 95.9% [141] 6994(11.0%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [150] 100.0% ------------------------------------------------------------------------ option-on-expr [66] 0.4% loop! [153] 9.6% for-loop [134] 11.9% for-loop [50] 21.0% loop [142] 57.1% [142] 3370(5.3%) 298(0.5%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [142] 57.1% point-error [154] 12.7% loop! [153] 9.6% ??? [136] 8.7% foldl [156] 7.7% curried [161] 4.1% ------------------------------------------------------------------------ ??? [136] 100.0% [143] 3198(5.0%) 552(0.9%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [155] 27.7% ??? [149] 26.7% double->posit16 [159] 19.7% ??? [158] 8.6% ------------------------------------------------------------------------ temp74_0 [137] 100.0% [144] 2840(4.5%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [151] 100.0% ------------------------------------------------------------------------ substitute-e [139] 100.0% [145] 870(1.4%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 mk-enode! [157] 66.7% substitute-e [139] 33.3% ------------------------------------------------------------------------ merge-egraph-nodes! [135] 100.0% [146] 568(0.9%) 0(0.0%) enode-merge! ...e/develop/src/core/enode.rkt:128:0 adopt-enode! [160] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [135] 100.0% [147] 530(0.8%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:199:4 dedup-children! [152] 53.2% merge-egraph-nodes! [135] 46.8% ------------------------------------------------------------------------ temp74_0 [137] 100.0% [148] 328(0.5%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [162] 100.0% ------------------------------------------------------------------------ loop [193] 1.4% loop [56] 2.0% ??? [27] 2.3% for-loop [129] 2.4% loop [17] 2.8% ??? [143] 6.5% ??? [3] 6.7% ??? [58] 8.1% location-do [164] 14.0% for-loop [91] 15.4% ??? [136] 38.6% [149] 13208(20.7%) 556(0.9%) ??? ...tract/private/arrow-higher-order.rkt:357:33 mk-ival [165] 23.3% ->flonum [167] 19.7% location-do [164] 15.4% approximate9 [2] 15.4% hash-ref! [163] 9.5% ival-mult [173] 6.5% sample-multi-bounded [174] 6.1% ------------------------------------------------------------------------ update-leader! [141] 100.0% [150] 6994(11.0%) 598(0.9%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 hash-update! [183] 59.8% for-loop [169] 31.7% ------------------------------------------------------------------------ loop [187] 16.2% expand-single [144] 83.8% [151] 3390(5.3%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [166] 83.8% dispatch-transformer41 [6] 16.2% ------------------------------------------------------------------------ for-loop [147] 8.8% merge-egraph-nodes! [135] 33.8% for-loop [127] 57.4% [152] 3200(5.0%) 0(0.0%) dedup-children! ...evelop/src/core/enode.rkt:199:0 loop [168] 80.6% loop [177] 19.4% ------------------------------------------------------------------------ loop [142] 27.7% merge-egraph-nodes! [135] 72.3% [153] 1874(2.9%) 792(1.2%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 loop [142] 27.7% set [175] 22.3% custom-set-union [172] 15.6% update-en-expr [182] 6.6% ------------------------------------------------------------------------ map [57] 32.0% loop [142] 68.0% [154] 912(1.4%) 0(0.0%) point-error ...herbie/develop/src/points.rkt:195:0 ulp-difference [170] 100.0% ------------------------------------------------------------------------ ??? [143] 100.0% [155] 886(1.4%) 582(0.9%) ??? ...herbie/develop/src/syntax/syntax.rkt:317:17 ??? [192] 34.3% ------------------------------------------------------------------------ for-loop [134] 34.2% loop [142] 65.8% [156] 878(1.4%) 0(0.0%) foldl ....0/collects/racket/private/list.rkt:229:4 merge2 [171] 100.0% ------------------------------------------------------------------------ for-loop [127] 33.3% for-loop [145] 66.7% [157] 870(1.4%) 292(0.5%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 new-enode [179] 33.3% mutable-set [180] 33.1% ------------------------------------------------------------------------ ??? [143] 43.4% for-loop [31] 56.6% [158] 636(1.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ??? [178] 56.6% ival-add [181] 43.4% ------------------------------------------------------------------------ ??? [143] 100.0% [159] 630(1.0%) 0(0.0%) double->posit16 ...ftposit-rkt/softposit.rkt:248:0 get-ffi-obj* [176] 100.0% ------------------------------------------------------------------------ enode-merge! [146] 100.0% [160] 568(0.9%) 0(0.0%) adopt-enode! ...e/develop/src/core/enode.rkt:104:0 custom-set-union [172] 100.0% ------------------------------------------------------------------------ for-loop [134] 47.3% loop [142] 52.7% [161] 528(0.8%) 528(0.8%) curried ...-7.0/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------ compile-top9 [148] 100.0% [162] 328(0.5%) 0(0.0%) compile-forms31 (unknown source) for-loop [200] 100.0% ------------------------------------------------------------------------ for-loop [26] 0.5% ??? [34] 0.6% for-loop [76] 0.9% ??? [190] 2.2% for-loop [22] 2.7% ??? [3] 3.1% for-loop [20] 3.8% first-nonzero-exp [80] 3.9% for-loop [18] 4.7% loop [17] 6.4% loop [42] 7.1% ??? [184] 9.6% ??? [149] 9.6% ??? [185] 21.1% compile [119] 23.8% [163] 8518(13.3%) 3542(5.6%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [185] 24.5% simplify [16] 20.6% ??? [184] 9.6% ??? [3] 9.5% ??? [5] 4.7% ??? [4] 4.3% ??? [7] 3.3% ??? [190] 2.2% ??? [9] 0.9% ------------------------------------------------------------------------ ??? [149] 44.8% location-do [164] 55.2% [164] 5316(8.3%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 location-do [164] 55.2% ??? [149] 41.5% loop [193] 3.4% ------------------------------------------------------------------------ ??? [149] 100.0% [165] 3072(4.8%) 0(0.0%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 bf [186] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [151] 100.0% [166] 2840(4.5%) 328(0.5%) lambda-clause-expander (unknown source) finish-bodys [188] 68.0% loop [187] 20.4% ------------------------------------------------------------------------ ??? [149] 100.0% [167] 2600(4.1%) 832(1.3%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 return/no-unsupplied [189] 57.4% ??? [192] 10.6% ------------------------------------------------------------------------ dedup-children! [152] 9.2% loop [168] 90.8% [168] 2580(4.0%) 2580(4.0%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [168] 90.8% ------------------------------------------------------------------------ for-loop [150] 100.0% [169] 2214(3.5%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [183] 100.0% ------------------------------------------------------------------------ ??? [27] 25.4% point-error [154] 74.6% [170] 1222(1.9%) 1222(1.9%) ulp-difference ...erbie/develop/src/float.rkt:14:0 ------------------------------------------------------------------------ foldl [156] 100.0% [171] 878(1.4%) 878(1.4%) merge2 .../herbie/develop/src/core/ematch.rkt:24:0 ------------------------------------------------------------------------ loop! [153] 34.0% adopt-enode! [160] 66.0% [172] 860(1.3%) 568(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [196] 34.0% ------------------------------------------------------------------------ ??? [149] 100.0% [173] 854(1.3%) 306(0.5%) ival-mult ...bie/develop/src/biginterval.rkt:114:0 bfmul [191] 64.2% ------------------------------------------------------------------------ ??? [149] 100.0% [174] 810(1.3%) 810(1.3%) sample-multi-bounded ...evelop/src/points.rkt:16:0 ------------------------------------------------------------------------ apply-match [118] 31.4% loop! [153] 68.6% [175] 790(1.2%) 790(1.2%) set ...collects/racket/private/set-types.rkt:981:0 ------------------------------------------------------------------------ double->posit16 [159] 100.0% [176] 630(1.0%) 332(0.5%) get-ffi-obj* ...-7.0/collects/ffi/unsafe.rkt:209:2 get-ffi-lib9 [195] 47.3% ------------------------------------------------------------------------ dedup-children! [152] 10.8% loop [177] 89.2% [177] 620(1.0%) 0(0.0%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [177] 89.2% member [194] 6.4% loop [187] 4.4% ------------------------------------------------------------------------ ??? [158] 100.0% [178] 360(0.6%) 360(0.6%) ??? ...ects/racket/contract/private/prop.rkt:519:4 ------------------------------------------------------------------------ mk-enode! [157] 100.0% [179] 290(0.5%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:96:0 type-of-enode-expr [197] 100.0% ------------------------------------------------------------------------ mk-enode! [157] 100.0% [180] 288(0.5%) 288(0.5%) mutable-set .../racket/private/set-types.rkt:999:0 ------------------------------------------------------------------------ ??? [158] 100.0% [181] 276(0.4%) 0(0.0%) ival-add ...erbie/develop/src/biginterval.rkt:96:0 bfmul [191] 100.0% ------------------------------------------------------------------------ loop! [153] 100.0% [182] 248(0.4%) 248(0.4%) update-en-expr ...evelop/src/core/egraph.rkt:207:0 ------------------------------------------------------------------------ for-loop [169] 34.6% for-loop [150] 65.4% [183] 6396(10.0%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [198] 100.0% ------------------------------------------------------------------------ hash-ref! [163] 100.0% [184] 3752(5.9%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [163] 100.0% ------------------------------------------------------------------------ hash-ref! [163] 100.0% [185] 3246(5.1%) 286(0.4%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [163] 91.2% ------------------------------------------------------------------------ mk-ival [165] 100.0% [186] 3072(4.8%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [199] 100.0% ------------------------------------------------------------------------ apply-transformer52 [19] 4.9% loop [187] 5.4% gf [202] 5.4% for-loop [200] 5.6% lambda-clause-expander [166] 9.3% loop [177] 12.0% syntax->list [60] 14.7% eval-prog [109] 16.6% syntax-e/no-taint [21] 26.1% [187] 2518(3.9%) 574(0.9%) loop (unknown source) gf [202] 29.7% expand-capturing-lifts [151] 16.6% syntax-e [8] 14.7% dispatch-transformer41 [6] 9.3% expand-id-application-form17 [12] 5.6% loop [187] 5.4% core-form-sym [206] 4.9% ------------------------------------------------------------------------ lambda-clause-expander [166] 32.9% for-loop [200] 67.1% [188] 1932(3.0%) 254(0.4%) finish-bodys (unknown source) for-loop [200] 97.4% ------------------------------------------------------------------------ ->flonum [167] 100.0% [189] 1492(2.3%) 1492(2.3%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------ hash-ref! [163] 100.0% [190] 830(1.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:344:33 hash-ref! [163] 100.0% ------------------------------------------------------------------------ ival-add [181] 33.5% ival-mult [173] 66.5% [191] 824(1.3%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [199] 67.2% ??? [205] 32.8% ------------------------------------------------------------------------ ->flonum [167] 47.6% ??? [155] 52.4% [192] 580(0.9%) 580(0.9%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ------------------------------------------------------------------------ location-do [164] 100.0% [193] 360(0.6%) 0(0.0%) loop ...lies/herbie/develop/src/programs.rkt:120:4 ??? [149] 100.0% ------------------------------------------------------------------------ loop [177] 100.0% [194] 318(0.5%) 318(0.5%) member (unknown source) ------------------------------------------------------------------------ get-ffi-obj* [176] 100.0% [195] 298(0.5%) 0(0.0%) get-ffi-lib9 ...-7.0/collects/ffi/unsafe.rkt:121:0 get-cross-lib-search-dirs [203] 100.0% ------------------------------------------------------------------------ custom-set-union [172] 100.0% [196] 292(0.5%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [204] 100.0% ------------------------------------------------------------------------ new-enode [179] 100.0% [197] 290(0.5%) 0(0.0%) type-of-enode-expr ...elop/src/core/enode.rkt:69:0 table-ref [201] 100.0% ------------------------------------------------------------------------ hash-update! [183] 100.0% [198] 6396(10.0%) 304(0.5%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [207] 95.2% ------------------------------------------------------------------------ bfmul [191] 15.3% bf [186] 84.7% [199] 3626(5.7%) 3626(5.7%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ------------------------------------------------------------------------ cache-or-reuse-hash [13] 9.5% apply-transformer52 [19] 10.1% compile-forms31 [162] 11.7% for-loop [200] 13.1% finish-bodys [188] 55.6% [200] 2810(4.4%) 1128(1.8%) for-loop (unknown source) finish-bodys [188] 43.7% for-loop [200] 13.1% dispatch-transformer41 [6] 3.5% add-local-binding!37 [210] 3.3% syntax-e [8] 1.2% loop [187] 0.9% ------------------------------------------------------------------------ type-of-enode-expr [197] 11.7% for-loop [111] 88.3% [201] 2476(3.9%) 1644(2.6%) table-ref ...es/herbie/develop/src/common.rkt:42:0 for-loop [208] 33.6% ------------------------------------------------------------------------ add-ns-scopes [132] 6.4% apply-post-expansion [37] 9.3% loop [187] 84.3% [202] 1424(2.2%) 332(0.5%) gf (unknown source) propagation-apply-shifted [209] 19.7% propagation-apply [211] 19.2% loop [187] 19.1% syntax-e/no-taint [21] 9.3% cache-or-reuse-hash [13] 9.3% ------------------------------------------------------------------------ get-ffi-lib9 [195] 100.0% [203] 298(0.5%) 298(0.5%) get-cross-lib-search-dirs ...rivate/dirs.rkt:168:7 ------------------------------------------------------------------------ for-loop [196] 100.0% [204] 292(0.5%) 292(0.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------ bfmul [191] 100.0% [205] 270(0.4%) 270(0.4%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ------------------------------------------------------------------------ loop [187] 100.0% [206] 248(0.4%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [212] 100.0% ------------------------------------------------------------------------ ??? [198] 100.0% [207] 6092(9.5%) 6092(9.5%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 ------------------------------------------------------------------------ table-ref [201] 100.0% [208] 832(1.3%) 832(1.3%) for-loop ...ies/herbie/develop/src/common.rkt:44:4 ------------------------------------------------------------------------ gf [202] 100.0% [209] 280(0.4%) 280(0.4%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------ for-loop [200] 100.0% [210] 280(0.4%) 0(0.0%) add-local-binding!37 (unknown source) binding-table-add [213] 100.0% ------------------------------------------------------------------------ gf [202] 100.0% [211] 274(0.4%) 274(0.4%) propagation-apply (unknown source) ------------------------------------------------------------------------ core-form-sym [206] 100.0% [212] 248(0.4%) 248(0.4%) resolve+shift28 (unknown source) ------------------------------------------------------------------------ add-local-binding!37 [210] 100.0% [213] 280(0.4%) 280(0.4%) binding-table-add (unknown source) ------------------------------------------------------------------------