Profiling results ----------------- Total cpu time observed: 24560ms (out of 25172ms) Number of samples taken: 99 (once every 248ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [29] 100.0% [1] 24158(98.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------------ ??? [29] 100.0% [2] 7612(31.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 86.0% loop [33] 8.7% get-final-combination [12] 5.3% ------------------------------------------------------------------------ loop [77] 7.9% ??? [29] 92.1% [3] 5114(20.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 63.7% iterate-egraph!5 [16] 24.5% for-loop [11] 11.8% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [4] 402(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ------------------------------------------------------------------------ loop [77] 100.0% [5] 208(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 100.0% ------------------------------------------------------------------------ f143 [71] 100.0% [6] 200(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 parse-loop12 [75] 100.0% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [7] 200(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [8] 24158(98.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [9] 6544(26.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [10] 3258(13.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [11] 604(2.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [12] 404(1.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [13] 402(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [62] 50.2% ??? [74] 49.8% ------------------------------------------------------------------------ ??? [7] 100.0% [14] 200(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [62] 100.0% ------------------------------------------------------------------------ for-loop [9] 100.0% [15] 6544(26.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 72.0% gen-series! [20] 12.6% finalize-iter! [21] 12.3% localize-error [23] 3.2% ------------------------------------------------------------------------ for-loop [11] 11.8% simplify [3] 24.5% simplify-expr [10] 63.7% [16] 5114(20.8%) 202(0.8%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 91.7% map-enodes [22] 4.3% ------------------------------------------------------------------------ get-final-combination [12] 100.0% [17] 404(1.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [77] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [18] 4710(19.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [16] 100.0% [19] 4692(19.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 78.0% loop [27] 17.1% apply-match [30] 4.9% ------------------------------------------------------------------------ run-iter! [15] 100.0% [20] 824(3.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [21] 802(3.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [16] 100.0% [22] 220(0.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [77] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [23] 208(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ------------------------------------------------------------------------ simplify! [18] 100.0% [24] 4710(19.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ------------------------------------------------------------------------ for-loop [25] 47.2% one-iter [19] 52.8% [25] 3660(14.9%) 1006(4.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 47.2% match-e [34] 36.3% ------------------------------------------------------------------------ gen-series! [20] 100.0% [26] 824(3.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ------------------------------------------------------------------------ one-iter [19] 100.0% [27] 804(3.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [30] 100.0% ------------------------------------------------------------------------ finalize-iter! [21] 100.0% [28] 802(3.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% ------------------------------------------------------------------------ for-loop [24] 6.7% run [8] 46.3% [29] 24560(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.3% loop [33] 34.5% run-improve58 [2] 12.6% simplify [3] 6.7% ------------------------------------------------------------------------ one-iter [19] 22.1% loop [27] 77.9% [30] 1032(4.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [37] 61.0% match-e [34] 19.6% loop! [38] 19.4% ------------------------------------------------------------------------ for-loop [26] 100.0% [31] 824(3.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% ------------------------------------------------------------------------ ??? [28] 100.0% [32] 802(3.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 3.8% ??? [29] 96.2% [33] 17612(71.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [39] 56.1% make-exacts* [47] 28.0% loop [46] 15.9% ------------------------------------------------------------------------ apply-match [30] 7.1% for-loop [49] 15.2% for-loop [25] 77.7% [34] 2856(11.6%) 1830(7.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [40] 31.3% for-loop [49] 9.4% variable? [44] 2.3% ------------------------------------------------------------------------ taylor-alt [31] 100.0% [35] 824(3.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [41] 100.0% ------------------------------------------------------------------------ for-loop [32] 100.0% [36] 802(3.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [42] 100.0% ------------------------------------------------------------------------ apply-match [30] 100.0% [37] 630(2.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [43] 100.0% ------------------------------------------------------------------------ apply-match [30] 100.0% [38] 200(0.8%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [45] 100.0% ------------------------------------------------------------------------ loop [33] 100.0% [39] 9882(40.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [46] 64.3% make-exacts* [47] 35.7% ------------------------------------------------------------------------ match-e [34] 100.0% [40] 1026(4.2%) 826(3.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 29.2% ------------------------------------------------------------------------ location-do [41] 40.7% for-loop [35] 59.3% [41] 824(3.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [48] 59.3% location-do [41] 40.7% ------------------------------------------------------------------------ atab-add-altn [36] 100.0% [42] 802(3.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [50] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [37] 100.0% [43] 630(2.6%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [51] 100.0% ------------------------------------------------------------------------ match-e [34] 100.0% [44] 200(0.8%) 200(0.8%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 ------------------------------------------------------------------------ loop! [38] 100.0% [45] 200(0.8%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [52] 100.0% ------------------------------------------------------------------------ loop [33] 30.6% loop [39] 69.4% [46] 9144(37.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [53] 92.4% loop [77] 7.6% ------------------------------------------------------------------------ loop [39] 41.7% loop [33] 58.3% [47] 8468(34.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [53] 54.9% loop [77] 42.5% eval-prog [55] 2.6% ------------------------------------------------------------------------ location-do [41] 100.0% [48] 824(3.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [56] 75.5% f143 [71] 24.5% ------------------------------------------------------------------------ for-loop [40] 37.3% match-e [34] 62.7% [49] 804(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [42] 100.0% [50] 802(3.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [55] 50.1% for-loop [57] 49.9% ------------------------------------------------------------------------ update-leader! [43] 100.0% [51] 630(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [54] 100.0% ------------------------------------------------------------------------ custom-set-union [45] 100.0% [52] 200(0.8%) 200(0.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 ------------------------------------------------------------------------ f143 [71] 5.9% make-exacts* [47] 33.4% loop [46] 60.7% [53] 13924(56.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [77] 94.1% f143 [71] 3.9% taylor-sqrt [60] 1.5% simplify-node [59] 0.6% ------------------------------------------------------------------------ for-loop [51] 100.0% [54] 630(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [58] 100.0% ------------------------------------------------------------------------ make-exacts* [47] 35.4% errors [50] 64.6% [55] 622(2.5%) 200(0.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [62] 67.8% ------------------------------------------------------------------------ approximate9 [48] 100.0% [56] 622(2.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ------------------------------------------------------------------------ errors [50] 100.0% [57] 400(1.6%) 200(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [61] 50.0% ------------------------------------------------------------------------ for-loop [54] 100.0% [58] 630(2.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [63] 100.0% ------------------------------------------------------------------------ map [53] 100.0% [59] 422(1.7%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f143 [71] 52.1% combine-aterms [64] 47.9% ------------------------------------------------------------------------ map [53] 100.0% [60] 202(0.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [62] 100.0% ------------------------------------------------------------------------ for-loop [57] 100.0% [61] 200(0.8%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [85] 100.0% ------------------------------------------------------------------------ for-loop [14] 3.4% ??? [74] 6.9% for-loop [13] 6.9% taylor-sqrt [60] 6.9% ??? [5] 7.2% localize-error [23] 7.2% ??? [67] 7.3% loop [56] 10.7% loop [77] 11.1% ??? [68] 14.5% eval-prog [55] 17.9% [62] 1454(5.9%) 202(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [65] 17.6% bigfloat-hash [69] 15.1% ??? [68] 14.5% parse-loop12 [75] 14.3% ??? [70] 11.1% ??? [67] 10.7% ??? [4] 10.4% ??? [7] 3.4% ------------------------------------------------------------------------ hash-update! [58] 100.0% [63] 630(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [66] 100.0% ------------------------------------------------------------------------ simplify-node [59] 100.0% [64] 202(0.8%) 202(0.8%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 ------------------------------------------------------------------------ hash-ref! [62] 100.0% [65] 824(3.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f143 [71] 75.5% parse-loop12 [75] 24.5% ------------------------------------------------------------------------ ??? [63] 100.0% [66] 630(2.6%) 428(1.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [73] 32.1% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [67] 622(2.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 67.8% ??? [74] 32.2% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [68] 422(1.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [62] 100.0% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [69] 220(0.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [72] 100.0% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [70] 202(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [77] 100.0% ------------------------------------------------------------------------ parse-loop12 [75] 3.8% simplify-node [59] 3.8% simplify [65] 20.9% approximate9 [48] 24.5% map [53] 47.0% [71] 824(3.4%) 0(0.0%) f143 .../collects/racket/match/compiler.rkt:499:40 map [53] 80.2% composed [6] 12.1% parse-loop12 [75] 3.8% gather-multiplicative-terms [76] 3.8% ------------------------------------------------------------------------ bigfloat-hash [69] 100.0% [72] 220(0.9%) 220(0.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ for-loop [66] 100.0% [73] 202(0.8%) 202(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ for-loop [13] 50.0% ??? [67] 50.0% [74] 200(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [62] 100.0% ------------------------------------------------------------------------ composed [6] 24.1% simplify [65] 24.3% hash-ref! [62] 25.1% f143 [71] 26.5% [75] 830(3.4%) 202(0.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f143 [71] 26.5% loop [77] 25.1% append-map [78] 24.1% ------------------------------------------------------------------------ f143 [71] 100.0% [76] 220(0.9%) 220(0.9%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ------------------------------------------------------------------------ loop [46] 0.0% parse-loop12 [75] 0.0% map-enodes [22] 0.1% make-exacts* [47] 0.1% extract-alt [17] 0.9% ??? [70] 1.1% map [53] 2.9% loop [77] 94.8% [77] 18426(75.0%) 208(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [77] 94.8% ??? [79] 3.0% hash-ref! [62] 1.1% simplify [3] 0.9% for-loop [81] 0.1% ->flonum [80] 0.0% ??? [5] 0.0% ------------------------------------------------------------------------ parse-loop12 [75] 100.0% [78] 200(0.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 free-variables [82] 100.0% ------------------------------------------------------------------------ loop [77] 100.0% [79] 16712(68.0%) 700(2.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 58.2% real->bigfloat [84] 32.5% ??? [95] 5.1% ------------------------------------------------------------------------ loop [77] 100.0% [80] 680(2.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [86] 35.9% ??? [97] 32.4% ??? [85] 31.8% ------------------------------------------------------------------------ loop [77] 100.0% [81] 220(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [87] 100.0% ------------------------------------------------------------------------ append-map [78] 100.0% [82] 200(0.8%) 200(0.8%) free-variables ...ock/herbie/src/programs.rkt:89:0 ------------------------------------------------------------------------ ??? [79] 100.0% [83] 9722(39.6%) 200(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 69.5% ...higher-order.rkt:373:33 [88] 14.6% bf* [89] 13.8% ------------------------------------------------------------------------ ??? [79] 100.0% [84] 5432(22.1%) 4704(19.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 13.4% ------------------------------------------------------------------------ ulp-difference [61] 48.1% ->flonum [80] 51.9% [85] 416(1.7%) 416(1.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ->flonum [80] 100.0% [86] 244(1.0%) 244(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ------------------------------------------------------------------------ for-loop [81] 100.0% [87] 220(0.9%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [90] 100.0% ------------------------------------------------------------------------ ??? [83] 100.0% [88] 1424(5.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 82.6% ??? [95] 17.4% ------------------------------------------------------------------------ ??? [83] 100.0% [89] 1346(5.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ------------------------------------------------------------------------ eval-const-expr [87] 100.0% [90] 220(0.9%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [93] 100.0% ------------------------------------------------------------------------ bf* [89] 16.6% ??? [83] 83.4% [91] 8098(33.0%) 974(4.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [94] 47.0% bfsqr [96] 26.3% ??? [97] 14.6% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [88] 100.0% [92] 1176(4.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 100.0% ------------------------------------------------------------------------ inductor [93] 50.0% expression-induct31 [90] 50.0% [93] 220(0.9%) 220(0.9%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [93] 50.0% ------------------------------------------------------------------------ ??? [91] 100.0% [94] 3806(15.5%) 3344(13.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 12.1% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [88] 10.9% ??? [79] 37.6% ??? [92] 51.5% [95] 2282(9.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ------------------------------------------------------------------------ ??? [91] 100.0% [96] 2132(8.7%) 1914(7.8%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [98] 10.2% ------------------------------------------------------------------------ ->flonum [80] 6.0% ??? [91] 32.2% ??? [95] 61.9% [97] 3688(15.0%) 2234(9.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 39.4% ------------------------------------------------------------------------ bfsqr [96] 15.5% bfadd [94] 32.8% real->bigfloat [84] 51.7% [98] 1408(5.7%) 1408(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [97] 100.0% [99] 1454(5.9%) 970(3.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 33.3% ------------------------------------------------------------------------ ??? [99] 100.0% [100] 484(2.0%) 484(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------