Profiling results ----------------- Total cpu time observed: 20010ms (out of 20336ms) Number of samples taken: 86 (once every 233ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [28] 100.0% [1] 19158(95.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------- ??? [28] 100.0% [2] 7424(37.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 95.7% loop [33] 4.3% --------------------------------------------------------------------- ??? [28] 100.0% [3] 4480(22.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [15] 65.7% simplify-expr [12] 25.8% for-loop [13] 8.6% --------------------------------------------------------------------- location-do [42] 100.0% [4] 2076(10.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [9] 92.1% f6 [59] 7.9% --------------------------------------------------------------------- hash-ref! [52] 100.0% [5] 1500(7.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [10] 100.0% --------------------------------------------------------------------- hash-ref! [52] 100.0% [6] 1278(6.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 98.9% [7] 19374(96.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 7108(35.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% --------------------------------------------------------------------- approximate9 [4] 100.0% [9] 1912(9.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [52] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [10] 1500(7.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [16] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [11] 1278(6.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [52] 92.4% simplify [54] 7.6% --------------------------------------------------------------------- simplify [3] 100.0% [12] 1154(5.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [13] 384(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% --------------------------------------------------------------------- for-loop [8] 100.0% [14] 7108(35.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 63.0% gen-series! [19] 29.2% localize-error [21] 5.2% finalize-iter! [22] 2.5% --------------------------------------------------------------------- for-loop [13] 8.6% simplify-expr [12] 25.8% simplify [3] 65.7% [15] 4480(22.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 90.4% map-enodes [20] 9.6% --------------------------------------------------------------------- for-loop [10] 100.0% [16] 1500(7.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [52] 100.0% --------------------------------------------------------------------- run-iter! [14] 100.0% [17] 4480(22.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [18] 4050(20.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 74.9% loop [26] 15.4% apply-match [31] 9.8% --------------------------------------------------------------------- run-iter! [14] 100.0% [19] 2076(10.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [20] 430(2.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [74] 56.3% for-loop [76] 43.7% --------------------------------------------------------------------- run-iter! [14] 100.0% [21] 372(1.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [52] 100.0% --------------------------------------------------------------------- run-iter! [14] 100.0% [22] 180(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% --------------------------------------------------------------------- simplify! [17] 100.0% [23] 4480(22.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% --------------------------------------------------------------------- for-loop [24] 50.0% one-iter [18] 50.0% [24] 3032(15.2%) 804(4.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [29] 36.7% --------------------------------------------------------------------- gen-series! [19] 100.0% [25] 2076(10.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% --------------------------------------------------------------------- one-iter [18] 100.0% [26] 622(3.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% --------------------------------------------------------------------- finalize-iter! [22] 100.0% [27] 180(0.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% --------------------------------------------------------------------- for-loop [23] 7.5% run [7] 45.7% [28] 19790(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.6% loop [33] 31.8% run-improve58 [2] 16.0% simplify [3] 7.5% --------------------------------------------------------------------- for-loop [36] 14.2% for-loop [24] 85.8% [29] 2228(11.1%) 1566(7.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [35] 24.8% for-loop [36] 14.2% --------------------------------------------------------------------- for-loop [25] 100.0% [30] 2076(10.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% --------------------------------------------------------------------- one-iter [18] 38.9% loop [26] 61.1% [31] 1018(5.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 update-leader! [43] 36.5% substitute-e [37] 22.2% mk-enode! [38] 21.6% merge-egraph-nodes! [39] 19.6% --------------------------------------------------------------------- ??? [27] 100.0% [32] 180(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% --------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [28] 97.5% [33] 12682(63.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [41] 53.3% make-exacts* [46] 29.8% loop [47] 15.2% for-loop [44] 1.7% --------------------------------------------------------------------- taylor-alt [30] 100.0% [34] 2076(10.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [42] 100.0% --------------------------------------------------------------------- match-e [29] 100.0% [35] 662(3.3%) 440(2.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [74] 33.5% --------------------------------------------------------------------- match-e [29] 100.0% [36] 634(3.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [29] 100.0% --------------------------------------------------------------------- apply-match [31] 100.0% [37] 226(1.1%) 226(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 --------------------------------------------------------------------- apply-match [31] 100.0% [38] 220(1.1%) 220(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- apply-match [31] 100.0% [39] 200(1.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [43] 100.0% --------------------------------------------------------------------- for-loop [32] 100.0% [40] 180(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% --------------------------------------------------------------------- loop [33] 100.0% [41] 6754(33.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [46] 48.9% loop [47] 45.2% eval-prog [50] 5.9% --------------------------------------------------------------------- for-loop [34] 28.7% location-do [42] 71.3% [42] 2076(10.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [42] 71.3% approximate9 [4] 28.7% --------------------------------------------------------------------- merge-egraph-nodes! [39] 35.0% apply-match [31] 65.0% [43] 572(2.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [48] 100.0% --------------------------------------------------------------------- loop [33] 100.0% [44] 216(1.1%) 216(1.1%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 --------------------------------------------------------------------- atab-add-altn [40] 100.0% [45] 180(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [49] 100.0% --------------------------------------------------------------------- loop [41] 46.6% loop [33] 53.4% [46] 7090(35.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [64] 48.5% loop [74] 40.4% eval-prog [50] 11.1% --------------------------------------------------------------------- loop [33] 38.7% loop [41] 61.3% [47] 4978(24.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [64] 100.0% --------------------------------------------------------------------- update-leader! [43] 100.0% [48] 572(2.9%) 200(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [51] 65.0% --------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [49] 180(0.9%) 180(0.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- loop [41] 33.5% make-exacts* [46] 66.5% [50] 1188(5.9%) 200(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [52] 83.2% --------------------------------------------------------------------- for-loop [48] 100.0% [51] 372(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [53] 100.0% --------------------------------------------------------------------- localize-error [21] 3.0% ??? [77] 8.4% eval-prog [50] 10.6% for-loop [16] 11.1% for-loop [11] 12.6% ??? [55] 17.4% loop [9] 17.4% loop [74] 19.6% [52] 3272(16.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [57] 19.6% ??? [55] 17.4% simplify [54] 15.9% ??? [6] 14.1% ??? [5] 11.1% bigfloat-hash [56] 10.6% parse-loop12 [70] 8.4% f6 [59] 3.0% --------------------------------------------------------------------- for-loop [51] 100.0% [53] 372(1.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [58] 100.0% --------------------------------------------------------------------- taylor-invert [73] 7.9% for-loop [11] 9.3% hash-ref! [52] 82.8% [54] 2076(10.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [70] 52.2% f6 [59] 39.9% debug7 [63] 7.9% --------------------------------------------------------------------- hash-ref! [52] 100.0% [55] 1912(9.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [52] 100.0% --------------------------------------------------------------------- hash-ref! [52] 100.0% [56] 988(4.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [60] 56.9% sig+exp->bigfloat [61] 43.1% --------------------------------------------------------------------- hash-ref! [52] 100.0% [57] 988(4.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [74] 100.0% --------------------------------------------------------------------- hash-update! [53] 100.0% [58] 372(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [62] 100.0% --------------------------------------------------------------------- approximate9 [4] 4.0% append-map [66] 4.3% f6 [59] 8.0% composed [65] 8.6% map [64] 18.8% hash-ref! [52] 27.3% simplify [54] 29.0% [59] 1364(6.8%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [64] 67.3% append-map [66] 12.9% composed [65] 8.6% f6 [59] 8.0% compose [67] 3.3% --------------------------------------------------------------------- bigfloat-hash [56] 100.0% [60] 562(2.8%) 398(2.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [68] 29.2% --------------------------------------------------------------------- bigfloat-hash [56] 100.0% [61] 426(2.1%) 426(2.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- ??? [58] 100.0% [62] 372(1.9%) 372(1.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- simplify [54] 100.0% [63] 164(0.8%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [69] 100.0% --------------------------------------------------------------------- parse-loop12 [70] 1.2% f6 [59] 11.0% make-exacts* [46] 35.9% loop [47] 51.9% [64] 9584(47.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [74] 89.0% f6 [59] 4.2% ??? [77] 3.9% taylor-invert [73] 1.7% parse-loop12 [70] 1.2% --------------------------------------------------------------------- f6 [59] 100.0% [65] 372(1.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [59] 100.0% --------------------------------------------------------------------- f6 [59] 100.0% [66] 372(1.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 free-variables [71] 64.1% f6 [59] 35.9% --------------------------------------------------------------------- f6 [59] 100.0% [67] 222(1.1%) 222(1.1%) compose ...collects/racket/private/list.rkt:385:12 --------------------------------------------------------------------- bfcanonicalize [60] 100.0% [68] 164(0.8%) 164(0.8%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 --------------------------------------------------------------------- debug7 [63] 100.0% [69] 164(0.8%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [72] 100.0% --------------------------------------------------------------------- map [64] 6.9% loop [74] 9.9% hash-ref! [52] 22.0% parse-loop12 [70] 23.4% simplify [54] 37.8% [70] 1690(8.4%) 1318(6.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [74] 24.9% parse-loop12 [70] 23.4% map [64] 6.9% --------------------------------------------------------------------- append-map [66] 100.0% [71] 372(1.9%) 372(1.9%) free-variables ...ock/herbie/src/programs.rkt:89:0 --------------------------------------------------------------------- ??? [69] 100.0% [72] 164(0.8%) 164(0.8%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 --------------------------------------------------------------------- map [64] 100.0% [73] 164(0.8%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [54] 100.0% --------------------------------------------------------------------- map-enodes [20] 0.3% for-loop [35] 1.6% make-exacts* [46] 1.8% parse-loop12 [70] 2.0% map [64] 3.0% ??? [57] 7.3% loop [74] 84.0% [74] 13534(67.6%) 438(2.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [74] 84.0% hash-ref! [52] 7.3% parse-loop12 [70] 3.2% ??? [75] 2.7% ->flonum [78] 0.4% ??? [77] 0.3% for-loop [76] 0.3% ??? [88] 0.2% --------------------------------------------------------------------- loop [74] 100.0% [75] 10822(54.1%) 230(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 84.5% real->bigfloat [80] 13.3% --------------------------------------------------------------------- map-enodes [20] 43.7% loop [74] 56.3% [76] 430(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [81] 56.3% setfindf [83] 43.7% --------------------------------------------------------------------- map [64] 37.0% loop [74] 63.0% [77] 372(1.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [52] 100.0% --------------------------------------------------------------------- loop [74] 100.0% [78] 240(1.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [82] 100.0% --------------------------------------------------------------------- ??? [75] 100.0% [79] 9148(45.7%) 194(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 62.9% bf* [84] 20.6% ...higher-order.rkt:373:33 [85] 14.3% --------------------------------------------------------------------- ??? [75] 100.0% [80] 1444(7.2%) 1444(7.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 --------------------------------------------------------------------- for-loop [76] 100.0% [81] 242(1.2%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [86] 100.0% --------------------------------------------------------------------- ->flonum [78] 100.0% [82] 240(1.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [96] 100.0% --------------------------------------------------------------------- for-loop [76] 100.0% [83] 188(0.9%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [87] 100.0% --------------------------------------------------------------------- ??? [79] 100.0% [84] 1886(9.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [88] 100.0% --------------------------------------------------------------------- ??? [79] 100.0% [85] 1310(6.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 100.0% --------------------------------------------------------------------- eval-const-expr [81] 100.0% [86] 242(1.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [90] 100.0% --------------------------------------------------------------------- setfindf [83] 100.0% [87] 188(0.9%) 188(0.9%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 --------------------------------------------------------------------- loop [74] 4.6% bf* [84] 23.5% ??? [79] 71.8% [88] 8016(40.1%) 2518(12.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [91] 57.7% ??? [95] 8.5% bfneg [94] 2.4% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [85]100.0% [89] 1310(6.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% --------------------------------------------------------------------- inductor [90] 50.0% expression-induct31 [86] 50.0% [90] 242(1.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [90] 50.0% integer->bigfloat [93] 50.0% --------------------------------------------------------------------- ??? [88] 100.0% [91] 4624(23.1%) 3086(15.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 33.3% --------------------------------------------------------------------- ??? [89] 100.0% [92] 1310(6.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% --------------------------------------------------------------------- inductor [90] 100.0% [93] 242(1.2%) 242(1.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 --------------------------------------------------------------------- ??? [88] 100.0% [94] 194(1.0%) 0(0.0%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 100.0% --------------------------------------------------------------------- ??? [88] 34.2% ??? [92] 65.8% [95] 1990(9.9%) 1108(5.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 44.3% --------------------------------------------------------------------- bfneg [94] 9.8% ??? [82] 12.2% bfsub [91] 78.0% [96] 1972(9.9%) 1972(9.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [95] 100.0% [97] 882(4.4%) 230(1.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 73.9% --------------------------------------------------------------------- ??? [97] 100.0% [98] 652(3.3%) 652(3.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------