Profiling results ----------------- Total cpu time observed: 24960ms (out of 25208ms) Number of samples taken: 110 (once every 227ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 100 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [19] 100.0% [1] 23920(95.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% --------------------------------------------------------------------- ??? [19] 100.0% [2] 17122(68.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [4] 95.0% get-final-combination [5] 2.4% loop [25] 1.4% setup-prog [6] 1.3% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [3] 23920(95.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [19] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [4] 16266(65.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [7] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 404(1.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [8] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 216(0.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [9] 100.0% --------------------------------------------------------------------- for-loop [4] 100.0% [7] 16266(65.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [11] 91.7% finalize-iter! [12] 5.7% gen-series! [13] 2.6% --------------------------------------------------------------------- get-final-combination [5] 100.0% [8] 404(1.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [68] 100.0% --------------------------------------------------------------------- setup-prog [6] 100.0% [9] 216(0.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [10] 100.0% --------------------------------------------------------------------- simplify-alt [9] 1.4% loop [68] 2.6% ??? [19] 96.0% [10] 15544(62.3%) 272(1.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [15] 78.7% for-loop [16] 15.6% iterate-egraph!5 [20] 3.9% --------------------------------------------------------------------- run-iter! [7] 100.0% [11] 14924(59.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [14] 100.0% --------------------------------------------------------------------- run-iter! [7] 100.0% [12] 924(3.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [17] 100.0% --------------------------------------------------------------------- run-iter! [7] 100.0% [13] 418(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [18] 100.0% --------------------------------------------------------------------- simplify! [11] 100.0% [14] 14924(59.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [19] 100.0% --------------------------------------------------------------------- simplify [10] 100.0% [15] 12234(49.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 96.7% loop [22] 3.3% --------------------------------------------------------------------- simplify [10] 100.0% [16] 2430(9.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [20] 91.8% loop [22] 8.2% --------------------------------------------------------------------- finalize-iter! [12] 100.0% [17] 924(3.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [21] 100.0% --------------------------------------------------------------------- gen-series! [13] 100.0% [18] 418(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [23] 100.0% --------------------------------------------------------------------- for-loop [14] 20.7% run [3] 38.9% [19] 24722(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 38.9% run-improve58 [2] 25.1% simplify [10] 20.7% loop [25] 15.4% --------------------------------------------------------------------- simplify [10] 4.1% for-loop [16] 15.2% simplify-expr [15] 80.7% [20] 14670(58.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 91.7% map-enodes [26] 6.8% *simplify-rules* [30] 1.5% --------------------------------------------------------------------- ??? [17] 100.0% [21] 924(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [27] 100.0% --------------------------------------------------------------------- for-loop [16] 33.2% simplify-expr [15] 66.8% [22] 602(2.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [28] 100.0% --------------------------------------------------------------------- for-loop [18] 100.0% [23] 418(1.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [29] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [24] 13446(53.9%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [31] 57.7% loop [32] 36.0% apply-match [40] 4.8% --------------------------------------------------------------------- run-improve58 [2] 3.0% ??? [19] 97.0% [25] 7836(31.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [41] 54.2% loop [33] 40.2% loop [42] 3.0% for-loop [39] 2.6% --------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [26] 1002(4.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [68] 79.8% for-loop [77] 20.2% --------------------------------------------------------------------- for-loop [21] 100.0% [27] 924(3.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [34] 76.0% override-at-pnts [38] 24.0% --------------------------------------------------------------------- loop [22] 100.0% [28] 602(2.4%) 200(0.8%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [36] 66.8% --------------------------------------------------------------------- taylor-alt [23] 100.0% [29] 418(1.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [35] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [30] 222(0.9%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [37] 100.0% --------------------------------------------------------------------- for-loop [31] 48.7% one-iter [24] 51.3% [31] 7760(31.1%) 1628(6.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [31] 48.7% match-e [47] 39.5% --------------------------------------------------------------------- one-iter [24] 100.0% [32] 4844(19.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% --------------------------------------------------------------------- loop [25] 100.0% [33] 3152(12.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [42] 63.9% make-exacts* [41] 36.1% --------------------------------------------------------------------- atab-add-altn [27] 100.0% [34] 702(2.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [43] 65.8% errors [44] 34.2% --------------------------------------------------------------------- location-do [35] 26.3% for-loop [29] 73.7% [35] 418(1.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [45] 73.7% location-do [35] 26.3% --------------------------------------------------------------------- pass [28] 100.0% [36] 402(1.6%) 202(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [46] 49.8% --------------------------------------------------------------------- *simplify-rules* [30] 100.0% [37] 222(0.9%) 222(0.9%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 --------------------------------------------------------------------- atab-add-altn [27] 100.0% [38] 222(0.9%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [44] 100.0% --------------------------------------------------------------------- loop [25] 100.0% [39] 202(0.8%) 202(0.8%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 --------------------------------------------------------------------- one-iter [24] 11.7% loop [32] 88.3% [40] 5486(22.0%) 202(0.8%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [54] 29.9% loop! [62] 24.0% match-e [47] 19.7% update-leader! [61] 11.8% for-loop [49] 11.0% --------------------------------------------------------------------- loop [33] 21.1% loop [25] 78.9% [41] 5384(21.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [48] 57.7% loop [68] 42.3% --------------------------------------------------------------------- loop [25] 10.5% loop [33] 89.5% [42] 2250(9.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [48] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [34] 100.0% [43] 462(1.9%) 462(1.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- override-at-pnts [38] 48.1% best-and-tied-at-points [34] 51.9% [44] 462(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [50] 100.0% --------------------------------------------------------------------- location-do [35] 100.0% [45] 418(1.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-quotient [51] 100.0% --------------------------------------------------------------------- for-loop [36] 100.0% [46] 200(0.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [52] 100.0% --------------------------------------------------------------------- apply-match [40] 10.4% for-loop [60] 12.1% for-loop [31] 77.6% [47] 7210(28.9%) 3454(13.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 40.5% for-loop [60] 7.5% list-cartesian-product [55] 4.3% curry* [65] 2.8% loop [68] 1.4% --------------------------------------------------------------------- loop [42] 42.0% make-exacts* [41] 58.0% [48] 5358(21.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [68] 95.6% ??? [75] 4.4% --------------------------------------------------------------------- apply-match [40] 100.0% [49] 604(2.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [54] 66.6% mk-enode! [58] 33.4% --------------------------------------------------------------------- errors [44] 100.0% [50] 462(1.9%) 222(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [56] 51.9% --------------------------------------------------------------------- approximate9 [45] 100.0% [51] 418(1.7%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [57] 52.6% simplify [71] 47.4% --------------------------------------------------------------------- argmin [46] 100.0% [52] 200(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [59] 100.0% --------------------------------------------------------------------- match-e [47] 100.0% [53] 3558(14.3%) 1074(4.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [60] 43.5% loop [68] 11.2% curried [67] 6.1% curry* [65] 5.7% loop [66] 3.4% --------------------------------------------------------------------- merge-egraph-nodes! [54] 4.9% for-loop [49] 19.7% apply-match [40] 75.4% [54] 2040(8.2%) 200(0.8%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [61] 51.0% for-loop [63] 29.5% merge-egraph-nodes! [54] 4.9% loop! [62] 4.9% --------------------------------------------------------------------- match-e [47] 100.0% [55] 420(1.7%) 420(1.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 --------------------------------------------------------------------- eval-prog [50] 100.0% [56] 240(1.0%) 240(1.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 --------------------------------------------------------------------- taylor-quotient [51] 100.0% [57] 220(0.9%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [64] 100.0% --------------------------------------------------------------------- for-loop [49] 100.0% [58] 202(0.8%) 202(0.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- expression-cost [52] 100.0% [59] 200(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [64] 100.0% --------------------------------------------------------------------- match-e [47] 34.5% for-loop [53] 65.5% [60] 2542(10.2%) 602(2.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [47] 68.4% ??? [73] 7.9% --------------------------------------------------------------------- apply-match [40] 38.3% merge-egraph-nodes! [54] 61.7% [61] 1686(6.8%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [69] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [54] 13.1% loop [68] 30.9% apply-match [40] 56.1% [62] 1516(6.1%) 656(2.6%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [68] 45.5% custom-set-union [70] 18.3% set [74] 6.6% --------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [63] 602(2.4%) 602(2.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- compile [59] 47.6% first-nonzero-exp [57] 52.4% [64] 420(1.7%) 200(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [71] 52.4% --------------------------------------------------------------------- match-e [47] 49.8% for-loop [53] 50.2% [65] 402(1.6%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [72] 100.0% --------------------------------------------------------------------- for-loop [53] 100.0% [66] 240(1.0%) 240(1.0%) loop ...e/racket/collects/racket/function.rkt:53:6 --------------------------------------------------------------------- for-loop [53] 100.0% [67] 216(0.9%) 216(0.9%) curried ...cket/collects/racket/function.rkt:71:18 --------------------------------------------------------------------- make-exacts* [41] 0.0% map [48] 1.3% map-enodes [26] 1.4% match-e [47] 1.9% extract-alt [8] 2.9% loop! [62] 3.4% for-loop [53] 3.9% loop [68] 85.1% [68] 10280(41.2%) 420(1.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [68] 85.1% foldl [79] 3.9% simplify [10] 2.9% loop! [62] 2.9% for-loop [77] 1.4% ??? [75] 1.4% --------------------------------------------------------------------- update-leader! [61] 100.0% [69] 1686(6.8%) 200(0.8%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [76] 88.1% --------------------------------------------------------------------- loop! [62] 100.0% [70] 438(1.8%) 438(1.8%) custom-set-union ...et/private/set-types.rkt:168:0 --------------------------------------------------------------------- taylor-quotient [51] 47.4% hash-ref! [64] 52.6% [71] 418(1.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [78] 100.0% --------------------------------------------------------------------- curry* [65] 100.0% [72] 402(1.6%) 402(1.6%) procedure-arity ...ket/private/norm-arity.rkt:7:27 --------------------------------------------------------------------- for-loop [60] 100.0% [73] 202(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [80] 100.0% --------------------------------------------------------------------- loop! [62] 100.0% [74] 200(0.8%) 200(0.8%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- map [48] 3.1% loop [68] 96.9% [75] 7634(30.6%) 472(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 59.1% real->bigfloat [82] 24.9% ??? [96] 7.0% new [86] 2.8% --------------------------------------------------------------------- for-loop [69] 100.0% [76] 1486(6.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [83] 100.0% --------------------------------------------------------------------- map-enodes [26] 20.2% loop [68] 79.8% [77] 1002(4.0%) 202(0.8%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [84] 79.8% --------------------------------------------------------------------- simplify [71] 100.0% [78] 418(1.7%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [85] 100.0% --------------------------------------------------------------------- loop [68] 100.0% [79] 402(1.6%) 202(0.8%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [87] 49.8% --------------------------------------------------------------------- ??? [73] 100.0% [80] 202(0.8%) 202(0.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 --------------------------------------------------------------------- ??? [75] 100.0% [81] 4512(18.1%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 88.9% bf* [89] 5.9% ...higher-order.rkt:373:33 [90] 5.3% --------------------------------------------------------------------- ??? [75] 100.0% [82] 1904(7.6%) 1664(6.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 12.6% --------------------------------------------------------------------- for-loop [76] 100.0% [83] 1486(6.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [88] 100.0% --------------------------------------------------------------------- for-loop [77] 100.0% [84] 800(3.2%) 800(3.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 --------------------------------------------------------------------- debug-print [78] 100.0% [85] 418(1.7%) 418(1.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- ??? [75] 100.0% [86] 212(0.8%) 212(0.8%) new ...cket/contract/private/case-arrow.rkt:227:53 --------------------------------------------------------------------- foldl [79] 100.0% [87] 200(0.8%) 200(0.8%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 --------------------------------------------------------------------- hash-update! [83] 100.0% [88] 1486(6.0%) 224(0.9%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [92] 84.9% --------------------------------------------------------------------- ??? [81] 100.0% [89] 264(1.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% --------------------------------------------------------------------- ??? [81] 100.0% [90] 238(1.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% --------------------------------------------------------------------- bf* [89] 6.2% ??? [81] 93.8% [91] 4274(17.1%) 272(1.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [94] 48.4% bfneg [95] 23.1% ??? [97] 22.1% --------------------------------------------------------------------- ??? [88] 100.0% [92] 1262(5.1%) 1262(5.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- ...higher-order.rkt:373:33 [90]100.0% [93] 238(1.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% --------------------------------------------------------------------- ??? [91] 100.0% [94] 2070(8.3%) 1792(7.2%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 13.4% --------------------------------------------------------------------- ??? [91] 100.0% [95] 986(4.0%) 986(4.0%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 --------------------------------------------------------------------- ??? [93] 30.8% ??? [75] 69.2% [96] 772(3.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% --------------------------------------------------------------------- ??? [96] 44.9% ??? [91] 55.1% [97] 1718(6.9%) 510(2.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 70.3% --------------------------------------------------------------------- real->bigfloat [82] 46.3% bfdiv [94] 53.7% [98] 518(2.1%) 518(2.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [97] 100.0% [99] 1208(4.8%) 1208(4.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 ---------------------------------------------------------------------