Profiling results ----------------- Total cpu time observed: 16104ms (out of 16484ms) Number of samples taken: 67 (once every 240ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [32] 100.0% [1] 14598(90.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% --------------------------------------------------------------------- ??? [32] 100.0% [2] 8962(55.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [12] 60.3% finalize-table! [13] 29.7% get-final-combination [15] 7.6% setup-prog [17] 2.3% --------------------------------------------------------------------- match-e [55] 100.0% [3] 1898(11.8%) 412(2.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [14] 77.9% list-cartesian-product [60] 5.7% --------------------------------------------------------------------- loop [74] 100.0% [4] 1404(8.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [28] 100.0% --------------------------------------------------------------------- loop [74] 100.0% [5] 440(2.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [66] 81.7% map [54] 18.3% --------------------------------------------------------------------- hash-ref! [66] 100.0% [6] 400(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [16] 100.0% --------------------------------------------------------------------- f94 [81] 100.0% [7] 200(1.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [76] 100.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [8] 200(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [9] 200(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% --------------------------------------------------------------------- f94 [81] 100.0% [10] 200(1.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [76] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 98.5% [11] 14818(92.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 5406(33.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 2666(16.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [21] 100.0% --------------------------------------------------------------------- match-e [55] 17.1% for-loop [3] 82.9% [14] 1892(11.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [55] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 682(4.2%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [16] 400(2.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [66] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 208(1.3%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [23] 100.0% --------------------------------------------------------------------- ??? [8] 100.0% [18] 200(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [66] 100.0% --------------------------------------------------------------------- ??? [9] 100.0% [19] 200(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [66] 100.0% --------------------------------------------------------------------- for-loop [12] 100.0% [20] 5406(33.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [25] 96.3% localize-error [27] 3.7% --------------------------------------------------------------------- finalize-table! [13] 100.0% [21] 2666(16.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [74] 52.7% for-loop [26] 38.3% localize-error [27] 9.1% --------------------------------------------------------------------- get-final-combination [15] 100.0% [22] 682(4.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [74] 100.0% --------------------------------------------------------------------- setup-prog [17] 100.0% [23] 208(1.3%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [24] 100.0% --------------------------------------------------------------------- simplify-alt [23] 3.6% loop [74] 11.6% ??? [32] 84.8% [24] 5856(36.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [28] 79.2% iterate-egraph!5 [33] 17.3% for-loop [31] 3.5% --------------------------------------------------------------------- run-iter! [20] 100.0% [25] 5208(32.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% --------------------------------------------------------------------- post-process [21] 100.0% [26] 1020(6.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [30] 100.0% --------------------------------------------------------------------- run-iter! [20] 45.0% post-process [21] 55.0% [27] 440(2.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [66] 100.0% --------------------------------------------------------------------- completely-simplify-alt [4] 23.2% simplify [24] 76.8% [28] 6042(37.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [33] 86.4% loop [35] 13.6% --------------------------------------------------------------------- simplify! [25] 100.0% [29] 5208(32.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 95.4% debug-print [82] 4.6% --------------------------------------------------------------------- f94 [81] 19.6% for-loop [26] 80.4% [30] 1020(6.3%) 400(2.5%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [34] 80.4% --------------------------------------------------------------------- simplify [24] 100.0% [31] 204(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [33] 100.0% --------------------------------------------------------------------- for-loop [29] 11.5% run [11] 43.2% [32] 15882(98.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.9% run-improve58 [2] 24.1% loop [36] 22.5% simplify [24] 11.5% --------------------------------------------------------------------- for-loop [31] 3.2% simplify [24] 15.7% simplify-expr [28] 81.1% [33] 6440(40.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 96.2% map-enodes [40] 3.8% --------------------------------------------------------------------- append-map [30] 100.0% [34] 1020(6.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% --------------------------------------------------------------------- simplify-expr [28] 100.0% [35] 820(5.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [39] 100.0% --------------------------------------------------------------------- ??? [32] 100.0% [36] 6920(43.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [46] 58.8% loop [42] 41.2% --------------------------------------------------------------------- iterate-egraph!5 [33] 100.0% [37] 6198(38.5%) 222(1.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [41] 61.5% loop [43] 31.7% apply-match [47] 3.2% --------------------------------------------------------------------- taylor-alt [34] 100.0% [38] 1020(6.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% --------------------------------------------------------------------- loop [35] 100.0% [39] 820(5.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [45] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [33] 100.0% [40] 242(1.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [74] 100.0% --------------------------------------------------------------------- for-loop [41] 50.0% one-iter [37] 50.0% [41] 3814(23.7%) 642(4.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [41] 50.0% match-e [55] 41.6% --------------------------------------------------------------------- loop [36] 100.0% [42] 2854(17.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [48] 74.6% make-exacts* [46] 17.7% eval-prog [51] 7.7% --------------------------------------------------------------------- one-iter [37] 100.0% [43] 1962(12.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [47] 100.0% --------------------------------------------------------------------- for-loop [38] 100.0% [44] 1020(6.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [49] 100.0% --------------------------------------------------------------------- pass [39] 100.0% [45] 820(5.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [50] 51.0% argmin [52] 24.6% for-loop [53] 24.4% --------------------------------------------------------------------- loop [42] 11.0% loop [36] 89.0% [46] 4570(28.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [74] 61.5% map [54] 38.5% --------------------------------------------------------------------- one-iter [37] 9.3% loop [43] 90.7% [47] 2162(13.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [55] 30.5% mk-enode! [56] 29.7% loop! [77] 21.3% for-loop [58] 18.5% --------------------------------------------------------------------- loop [42] 100.0% [48] 2130(13.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [54] 100.0% --------------------------------------------------------------------- location-do [44] 100.0% [49] 1020(6.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [81] 60.8% loop [59] 39.2% --------------------------------------------------------------------- for-loop [45] 100.0% [50] 418(2.6%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [57] 100.0% --------------------------------------------------------------------- loop [42] 100.0% [51] 220(1.4%) 220(1.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- for-loop [45] 100.0% [52] 202(1.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [57] 100.0% --------------------------------------------------------------------- for-loop [45] 100.0% [53] 200(1.2%) 200(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- ??? [5] 5.1% f94 [81] 12.7% make-exacts* [46] 37.2% loop [48] 45.0% [54] 4730(29.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [74] 82.2% f94 [81] 12.7% ->flonum [62] 5.1% --------------------------------------------------------------------- apply-match [47] 6.7% for-loop [14] 26.6% for-loop [41] 66.7% [55] 3832(23.8%) 2598(16.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [3] 32.8% list-cartesian-product [60] 7.9% for-loop [14] 4.7% filter [63] 2.6% --------------------------------------------------------------------- apply-match [47] 100.0% [56] 642(4.0%) 440(2.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [64] 31.5% --------------------------------------------------------------------- argmin [52] 32.6% loop [50] 67.4% [57] 620(3.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [61] 100.0% --------------------------------------------------------------------- apply-match [47] 100.0% [58] 400(2.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [65] 50.0% loop! [77] 50.0% --------------------------------------------------------------------- approximate9 [49] 100.0% [59] 400(2.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [66] 100.0% --------------------------------------------------------------------- list-cartesian-product [60] 17.6% for-loop [3] 17.6% match-e [55] 64.8% [60] 620(3.8%) 418(2.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [67] 32.6% list-cartesian-product [60] 17.6% --------------------------------------------------------------------- expression-cost [57] 100.0% [61] 620(3.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [66] 100.0% --------------------------------------------------------------------- map [54] 100.0% [62] 242(1.5%) 242(1.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 --------------------------------------------------------------------- match-e [55] 100.0% [63] 202(1.3%) 202(1.3%) filter ...t/collects/racket/private/list.rkt:256:2 --------------------------------------------------------------------- mk-enode! [56] 100.0% [64] 202(1.3%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 check-valid-enode5 [68] 100.0% --------------------------------------------------------------------- for-loop [58] 100.0% [65] 200(1.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [69] 100.0% --------------------------------------------------------------------- for-loop [19] 2.7% ??? [73] 4.5% ??? [72] 4.5% loop [59] 4.5% for-loop [18] 5.1% for-loop [16] 6.2% localize-error [27] 12.3% compile [61] 17.8% ??? [5] 17.8% ??? [70] 24.7% [66] 1460(9.1%) 418(2.6%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [70] 31.6% parse-loop12 [71] 30.1% ??? [6] 6.2% ??? [8] 5.1% ??? [72] 4.5% ??? [73] 4.5% simplify [76] 4.5% ??? [9] 2.7% --------------------------------------------------------------------- list-cartesian-product [60] 100.0% [67] 202(1.3%) 202(1.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 --------------------------------------------------------------------- new-enode [64] 100.0% [68] 202(1.3%) 202(1.3%) check-valid-enode5 ...bie/src/core/enode.rkt:177:0 --------------------------------------------------------------------- merge-egraph-nodes! [65] 100.0% [69] 200(1.2%) 200(1.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- hash-ref! [66] 100.0% [70] 620(3.8%) 202(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [66] 83.7% --------------------------------------------------------------------- hash-ref! [66] 100.0% [71] 440(2.7%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [74] 100.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [72] 400(2.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [66] 100.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [73] 400(2.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [66] 100.0% --------------------------------------------------------------------- parse-loop12 [71] 0.2% make-exacts* [46] 0.3% map-enodes [40] 0.3% f94 [81] 2.2% loop! [77] 3.6% map [54] 3.9% post-process [21] 4.5% extract-alt [22] 5.6% loop [74] 79.5% [74] 10108(62.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [74] 79.5% simplify [24] 5.6% completely-simplify-alt [4] 4.5% ??? [75] 4.2% loop! [77] 3.6% simplify [76] 2.2% for-loop [78] 0.3% ??? [5] 0.1% ...higher-order.rkt:373:33 [88] 0.1% --------------------------------------------------------------------- loop [74] 100.0% [75] 6700(41.6%) 218(1.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [79] 49.1% ??? [94] 25.0% ??? [80] 22.6% --------------------------------------------------------------------- taylor-sqrt [10] 19.6% taylor-invert [7] 19.6% loop [74] 21.6% hash-ref! [66] 39.2% [76] 1020(6.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [82] 41.2% f94 [81] 39.2% debug7 [86] 19.6% --------------------------------------------------------------------- for-loop [58] 15.2% apply-match [47] 34.8% loop [74] 50.0% [77] 660(4.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [74] 50.0% set [83] 33.3% update-en-expr [85] 16.7% --------------------------------------------------------------------- loop [74] 100.0% [78] 242(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [84] 100.0% --------------------------------------------------------------------- ??? [75] 100.0% [79] 3292(20.4%) 3036(18.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [90] 7.8% --------------------------------------------------------------------- ??? [75] 100.0% [80] 1512(9.4%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 65.9% ...higher-order.rkt:373:33 [88] 17.5% bf* [91] 16.7% --------------------------------------------------------------------- composed [89] 12.2% simplify [76] 12.2% approximate9 [49] 23.0% f94 [81] 24.2% map [54] 28.5% [81] 820(5.1%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [54] 28.5% f94 [81] 24.2% taylor-invert [7] 12.2% composed [89] 12.2% append-map [30] 12.2% loop [74] 6.7% taylor-sqrt [10] 4.1% --------------------------------------------------------------------- for-loop [29] 36.6% simplify [76] 63.4% [82] 662(4.1%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [87] 100.0% --------------------------------------------------------------------- loop! [77] 100.0% [83] 440(2.7%) 440(2.7%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- for-loop [78] 100.0% [84] 242(1.5%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ??? [92] 100.0% --------------------------------------------------------------------- loop! [77] 100.0% [85] 220(1.4%) 220(1.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- simplify [76] 100.0% [86] 200(1.2%) 200(1.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 --------------------------------------------------------------------- debug-print [82] 100.0% [87] 662(4.1%) 662(4.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- loop [74] 42.9% ??? [80] 57.1% [88] 462(2.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% --------------------------------------------------------------------- f94 [81] 100.0% [89] 400(2.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f94 [81] 100.0% --------------------------------------------------------------------- real->bigfloat [79] 100.0% [90] 256(1.6%) 256(1.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [80] 100.0% [91] 252(1.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% --------------------------------------------------------------------- eval-const-expr [84] 16.2% bf* [91] 16.9% ??? [80] 66.8% [92] 1490(9.3%) 494(3.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [95] 51.1% ??? [96] 15.7% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [93] 462(2.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% --------------------------------------------------------------------- ??? [93] 21.6% ??? [75] 78.4% [94] 2140(13.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% --------------------------------------------------------------------- ??? [92] 100.0% [95] 762(4.7%) 762(4.7%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 --------------------------------------------------------------------- ??? [92] 9.9% ??? [94] 90.1% [96] 2374(14.7%) 1422(8.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 40.1% --------------------------------------------------------------------- ??? [96] 100.0% [97] 952(5.9%) 250(1.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 73.7% --------------------------------------------------------------------- ??? [97] 100.0% [98] 702(4.4%) 702(4.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------