Profiling results ----------------- Total cpu time observed: 15814ms (out of 16128ms) Number of samples taken: 72 (once every 220ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [33] 100.0% [1] 15814(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [33] 100.0% [2] 7668(48.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [8] 53.0% for-loop [9] 47.0% ---------------------------------------------------------------------- ??? [33] 100.0% [3] 2354(14.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 45.2% for-loop [12] 35.1% iterate-egraph!5 [15] 19.7% ---------------------------------------------------------------------- hash-ref! [63] 100.0% [4] 872(5.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [11] 100.0% ---------------------------------------------------------------------- loop [81] 100.0% [5] 490(3.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ---------------------------------------------------------------------- map [78] 25.0% loop [81] 75.0% [6] 444(2.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [63] 62.5% map [78] 37.5% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 15814(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 4062(25.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [13] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 3606(22.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [5] 31.5% simplify [3] 68.5% [10] 1554(9.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [11] 872(5.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [16] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 826(5.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ---------------------------------------------------------------------- finalize-table! [8] 100.0% [13] 4062(25.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [17] 72.6% loop [81] 17.5% localize-error [23] 5.5% ??? [29] 4.4% ---------------------------------------------------------------------- for-loop [9] 100.0% [14] 3606(22.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 65.3% gen-series! [21] 17.8% finalize-iter! [22] 16.9% ---------------------------------------------------------------------- simplify [3] 16.3% for-loop [12] 29.0% simplify-expr [10] 54.6% [15] 2844(18.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 85.1% map-enodes [24] 7.8% debug7 [25] 7.1% ---------------------------------------------------------------------- for-loop [11] 100.0% [16] 872(5.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 ??? [20] 100.0% ---------------------------------------------------------------------- post-process [13] 100.0% [17] 2948(18.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [26] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [18] 2420(15.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 83.2% loop [31] 16.8% ---------------------------------------------------------------------- run-iter! [14] 100.0% [19] 2354(14.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ---------------------------------------------------------------------- for-loop [16] 100.0% [20] 872(5.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [63] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [21] 642(4.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [22] 610(3.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ---------------------------------------------------------------------- post-process [13] 50.0% loop [81] 50.0% [23] 444(2.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [63] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [24] 222(1.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [81] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [25] 202(1.3%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [32] 100.0% ---------------------------------------------------------------------- for-loop [17] 100.0% [26] 2948(18.6%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [34] 86.4% loop [81] 13.6% ---------------------------------------------------------------------- simplify! [19] 100.0% [27] 2354(14.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ---------------------------------------------------------------------- for-loop [28] 50.0% one-iter [18] 50.0% [28] 2014(12.7%) 220(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [40] 44.5% ---------------------------------------------------------------------- post-process [13] 22.8% finalize-iter! [22] 77.2% [29] 790(5.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [35] 100.0% ---------------------------------------------------------------------- gen-series! [21] 100.0% [30] 642(4.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% ---------------------------------------------------------------------- one-iter [18] 100.0% [31] 406(2.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% ---------------------------------------------------------------------- debug7 [25] 100.0% [32] 202(1.3%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [37] 100.0% ---------------------------------------------------------------------- for-loop [27] 5.0% run [7] 47.5% [33] 15814(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.5% loop [38] 25.8% run-improve58 [2] 21.8% simplify [3] 5.0% ---------------------------------------------------------------------- loop [81] 11.2% for-loop [30] 17.9% append-map [26] 70.9% [34] 3590(22.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ---------------------------------------------------------------------- ??? [29] 100.0% [35] 790(5.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% ---------------------------------------------------------------------- loop [31] 100.0% [36] 406(2.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [42] 59.6% match-e [40] 40.4% ---------------------------------------------------------------------- ??? [32] 100.0% [37] 202(1.3%) 202(1.3%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ---------------------------------------------------------------------- ??? [33] 100.0% [38] 8146(51.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 59.1% make-exacts* [51] 24.2% loop [53] 16.6% ---------------------------------------------------------------------- taylor-alt [34] 100.0% [39] 3590(22.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ---------------------------------------------------------------------- apply-match [36] 4.2% for-loop [55] 9.3% for-loop [28] 86.5% [40] 1958(12.4%) 1046(6.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 22.6% for-loop [55] 15.9% list-cartesian-product [49] 9.0% curry* [50] 4.2% ---------------------------------------------------------------------- for-loop [35] 100.0% [41] 790(5.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 73.4% override-at-pnts [48] 26.6% ---------------------------------------------------------------------- apply-match [36] 100.0% [42] 242(1.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [47] 100.0% ---------------------------------------------------------------------- loop [38] 100.0% [43] 4818(30.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [51] 54.8% loop [53] 35.5% eval-prog [60] 9.7% ---------------------------------------------------------------------- location-do [44] 39.5% for-loop [39] 60.5% [44] 3590(22.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [52] 54.4% location-do [44] 39.5% simplify [66] 6.1% ---------------------------------------------------------------------- atab-add-altn [41] 100.0% [45] 580(3.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [54] 69.0% for-loop [57] 31.0% ---------------------------------------------------------------------- match-e [40] 100.0% [46] 524(3.3%) 360(2.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [55] 31.3% ---------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [47] 242(1.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [56] 100.0% ---------------------------------------------------------------------- atab-add-altn [41] 100.0% [48] 210(1.3%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [54] 100.0% ---------------------------------------------------------------------- list-cartesian-product [49] 50.0% match-e [40] 50.0% [49] 176(1.1%) 176(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [49] 50.0% ---------------------------------------------------------------------- match-e [40] 100.0% [50] 164(1.0%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [58] 100.0% ---------------------------------------------------------------------- loop [38] 42.8% loop [43] 57.2% [51] 4614(29.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [81] 50.5% map [78] 42.6% eval-prog [60] 6.9% ---------------------------------------------------------------------- location-do [44] 100.0% [52] 3370(21.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [59] 87.5% f94 [75] 6.5% taylor-sqrt [79] 5.9% ---------------------------------------------------------------------- loop [38] 44.2% loop [43] 55.8% [53] 3064(19.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% ---------------------------------------------------------------------- override-at-pnts [48] 34.4% best-and-tied-at-points [45] 65.6% [54] 610(3.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [61] 100.0% ---------------------------------------------------------------------- for-loop [46] 28.5% match-e [40] 71.5% [55] 576(3.6%) 212(1.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 63.2% ---------------------------------------------------------------------- update-leader! [47] 100.0% [56] 242(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [62] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [57] 180(1.1%) 180(1.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- curry* [50] 100.0% [58] 164(1.0%) 164(1.0%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------- approximate9 [52] 100.0% [59] 2950(18.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [63] 100.0% ---------------------------------------------------------------------- make-exacts* [51] 40.5% loop [43] 59.5% [60] 786(5.0%) 166(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [63] 78.9% ---------------------------------------------------------------------- errors [54] 100.0% [61] 610(3.9%) 200(1.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [65] 34.4% ??? [83] 32.8% ---------------------------------------------------------------------- for-loop [56] 100.0% [62] 242(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [64] 100.0% ---------------------------------------------------------------------- localize-error [23] 4.0% taylor-sqrt [79] 4.7% eval-prog [60] 5.9% ??? [6] 6.6% ??? [20] 6.9% loop [81] 8.8% ??? [67] 29.2% loop [59] 33.9% [63] 4214(26.6%) 200(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [66] 33.9% ??? [67] 29.2% ??? [69] 8.8% ??? [4] 6.9% bigfloat-hash [68] 5.9% f94 [75] 5.3% parse-loop50 [71] 5.3% ---------------------------------------------------------------------- for-loop [62] 100.0% [64] 242(1.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ---------------------------------------------------------------------- for-loop [61] 100.0% [65] 210(1.3%) 210(1.3%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ---------------------------------------------------------------------- taylor-sqrt [79] 6.5% location-do [44] 6.5% hash-ref! [63] 87.0% [66] 3390(21.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [71] 93.5% f94 [75] 6.5% ---------------------------------------------------------------------- hash-ref! [63] 100.0% [67] 2750(17.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [63] 100.0% ---------------------------------------------------------------------- hash-ref! [63] 100.0% [68] 620(3.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [72] 51.0% sig+exp->bigfloat [73] 49.0% ---------------------------------------------------------------------- hash-ref! [63] 100.0% [69] 468(3.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [81] 100.0% ---------------------------------------------------------------------- hash-update! [64] 100.0% [70] 242(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [74] 100.0% ---------------------------------------------------------------------- map [78] 2.0% hash-ref! [63] 6.1% parse-loop50 [71] 13.9% simplify [66] 77.9% [71] 3612(22.8%) 1896(12.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 f94 [75] 24.9% parse-loop50 [71] 13.9% loop [81] 6.1% parse-app [77] 5.5% simplify-node [76] 1.0% ---------------------------------------------------------------------- bigfloat-hash [68] 100.0% [72] 316(2.0%) 316(2.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [68] 100.0% [73] 304(1.9%) 304(1.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [70] 100.0% [74] 242(1.5%) 242(1.5%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- simplify [66] 4.2% map [78] 8.4% approximate9 [52] 12.7% hash-ref! [63] 12.8% parse-loop50 [71] 61.9% [75] 1736(11.0%) 1074(6.8%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [78] 25.5% taylor-sqrt [79] 12.7% ---------------------------------------------------------------------- parse-loop50 [71] 100.0% [76] 220(1.4%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [80] 100.0% ---------------------------------------------------------------------- parse-loop50 [71] 100.0% [77] 200(1.3%) 200(1.3%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- ??? [6] 5.2% f94 [75] 6.5% make-exacts* [51] 34.5% loop [53] 53.8% [78] 5692(36.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 86.6% ->flonum [82] 5.2% ??? [83] 3.0% f94 [75] 2.6% ??? [6] 1.3% parse-loop50 [71] 1.3% ---------------------------------------------------------------------- approximate9 [52] 47.6% f94 [75] 52.4% [79] 420(2.7%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [66] 52.4% hash-ref! [63] 47.6% ---------------------------------------------------------------------- simplify-node [76] 100.0% [80] 220(1.4%) 220(1.4%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 ---------------------------------------------------------------------- parse-loop50 [71] 0.1% make-exacts* [51] 0.3% post-process [13] 0.5% map [78] 1.0% map-enodes [24] 1.2% append-map [26] 4.4% ??? [69] 5.1% loop [81] 87.5% [81] 9214(58.3%) 152(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 87.5% hash-ref! [63] 5.1% taylor-alt [34] 4.4% for-loop [84] 1.2% ??? [83] 1.1% completely-simplify-alt [5] 0.4% ??? [6] 0.2% localize-error [23] 0.1% ---------------------------------------------------------------------- map [78] 100.0% [82] 444(2.8%) 222(1.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [95] 50.0% ---------------------------------------------------------------------- map [78] 2.3% for-loop [61] 2.7% loop [81] 95.0% [83] 7408(46.8%) 188(1.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 85.1% real->bigfloat [86] 12.4% ---------------------------------------------------------------------- loop [81] 100.0% [84] 222(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [87] 100.0% ---------------------------------------------------------------------- ??? [83] 100.0% [85] 6302(39.9%) 522(3.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 80.8% ...higher-order.rkt:373:33 [89] 10.9% ---------------------------------------------------------------------- ??? [83] 100.0% [86] 918(5.8%) 918(5.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- for-loop [84] 100.0% [87] 222(1.4%) 222(1.4%) compose ...collects/racket/private/list.rkt:385:12 ---------------------------------------------------------------------- ??? [85] 100.0% [88] 5092(32.2%) 170(1.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [90] 54.6% bfsqrt [91] 29.1% ??? [95] 13.0% ---------------------------------------------------------------------- ??? [85] 100.0% [89] 688(4.4%) 162(1.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 49.1% ??? [94] 27.3% ---------------------------------------------------------------------- ??? [88] 100.0% [90] 2778(17.6%) 2038(12.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 26.6% ---------------------------------------------------------------------- ??? [88] 100.0% [91] 1484(9.4%) 1108(7.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 25.3% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89]100.0% [92] 338(2.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ---------------------------------------------------------------------- bfsqrt [91] 33.7% bfadd [90] 66.3% [93] 1116(7.1%) 1116(7.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89] 35.7% ??? [92] 64.3% [94] 526(3.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ---------------------------------------------------------------------- ->flonum [82] 15.8% ??? [94] 37.4% ??? [88] 46.9% [95] 1408(8.9%) 320(2.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 77.3% ---------------------------------------------------------------------- ??? [95] 100.0% [96] 1088(6.9%) 900(5.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 17.3% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 188(1.2%) 188(1.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------