Profiling results ----------------- Total cpu time observed: 27270ms (out of 27728ms) Number of samples taken: 123 (once every 222ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 91 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [29] 100.0% [1] 27270(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [2] 9334(34.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [7] 72.7% for-loop [8] 20.2% loop [6] 4.9% get-final-combination [11] 2.2% ----------------------------------------------------------------------- hash-ref! [49] 100.0% [3] 628(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [9] 100.0% ----------------------------------------------------------------------- hash-ref! [49] 100.0% [4] 628(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [10] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 27270(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [29] 97.5% [6] 18396(67.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [12] 44.5% make-exacts* [17] 36.5% loop [18] 19.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 6786(24.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [13] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 1886(6.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ----------------------------------------------------------------------- ??? [3] 100.0% [9] 628(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [49] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [10] 628(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [15] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 202(0.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ----------------------------------------------------------------------- loop [6] 100.0% [12] 8180(30.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [18] 52.9% make-exacts* [17] 39.7% eval-prog [48] 7.4% ----------------------------------------------------------------------- finalize-table! [7] 100.0% [13] 6786(24.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [19] 42.3% loop [62] 36.8% ??? [26] 14.7% localize-error [20] 3.3% completely-simplify-alt [66] 2.9% ----------------------------------------------------------------------- for-loop [8] 100.0% [14] 1886(6.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 31.9% gen-series! [22] 22.8% finalize-iter! [23] 22.5% localize-error [20] 12.2% choose-best-alt! [24] 10.6% ----------------------------------------------------------------------- for-loop [10] 100.0% [15] 628(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [49] 100.0% ----------------------------------------------------------------------- get-final-combination [11] 100.0% [16] 202(0.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [42] 100.0% ----------------------------------------------------------------------- loop [12] 32.6% loop [6] 67.4% [17] 9966(36.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [59] 61.6% loop [62] 36.4% eval-prog [48] 2.0% ----------------------------------------------------------------------- loop [6] 44.7% loop [12] 55.3% [18] 7824(28.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% ----------------------------------------------------------------------- post-process [13] 100.0% [19] 2868(10.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [25] 100.0% ----------------------------------------------------------------------- post-process [13] 20.7% run-iter! [14] 21.5% loop [62] 57.8% [20] 1072(3.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [49] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [21] 602(2.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [22] 430(1.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [23] 424(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [24] 200(0.7%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [26] 100.0% ----------------------------------------------------------------------- f6 [57] 4.6% for-loop [19] 95.4% [25] 2868(10.5%) 200(0.7%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [30] 95.4% f6 [57] 2.3% ----------------------------------------------------------------------- choose-best-alt! [24] 12.3% finalize-iter! [23] 26.1% post-process [13] 61.6% [26] 1624(6.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 87.7% atab-pick-alt8 [32] 12.3% ----------------------------------------------------------------------- simplify! [21] 100.0% [27] 602(2.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ----------------------------------------------------------------------- gen-series! [22] 100.0% [28] 430(1.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ----------------------------------------------------------------------- for-loop [27] 0.7% run [5] 49.6% [29] 27270(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.6% loop [6] 32.9% run-improve58 [2] 16.7% simplify [35] 0.7% ----------------------------------------------------------------------- for-loop [28] 13.0% append-map [25] 87.0% [30] 3298(12.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [33] 100.0% ----------------------------------------------------------------------- ??? [26] 100.0% [31] 1424(5.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [34] 100.0% ----------------------------------------------------------------------- ??? [26] 100.0% [32] 200(0.7%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [36] 100.0% ----------------------------------------------------------------------- taylor-alt [30] 100.0% [33] 3298(12.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [37] 100.0% ----------------------------------------------------------------------- for-loop [31] 100.0% [34] 1424(5.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [38] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [35] 602(2.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [72] 66.8% for-loop [39] 33.2% ----------------------------------------------------------------------- atab-pick-alt8 [32] 100.0% [36] 200(0.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [40] 100.0% ----------------------------------------------------------------------- location-do [37] 49.2% for-loop [33] 50.8% [37] 3298(12.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [41] 50.8% location-do [37] 49.2% ----------------------------------------------------------------------- atab-add-altn [34] 100.0% [38] 1424(5.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [46] 100.0% ----------------------------------------------------------------------- simplify [35] 100.0% [39] 200(0.7%) 200(0.7%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 ----------------------------------------------------------------------- ??? [36] 100.0% [40] 200(0.7%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [42] 100.0% ----------------------------------------------------------------------- location-do [37] 100.0% [41] 3298(12.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [43] 81.7% f6 [57] 12.2% taylor [45] 6.1% ----------------------------------------------------------------------- best-alt [40] 49.8% extract-alt [16] 50.2% [42] 402(1.5%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [44] 100.0% ----------------------------------------------------------------------- approximate9 [41] 100.0% [43] 2696(9.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [49] 100.0% ----------------------------------------------------------------------- f6 [57] 33.2% loop [42] 66.8% [44] 602(2.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [46] 66.8% f6 [57] 33.2% ----------------------------------------------------------------------- approximate9 [41] 100.0% [45] 200(0.7%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [79] 100.0% ----------------------------------------------------------------------- composed [44] 22.0% best-and-tied-at-points [38] 78.0% [46] 1826(6.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [47] 77.0% eval-prog [48] 23.0% ----------------------------------------------------------------------- errors [46] 100.0% [47] 1406(5.2%) 200(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [65] 85.8% ----------------------------------------------------------------------- make-exacts* [17] 16.4% errors [46] 34.2% loop [12] 49.3% [48] 1228(4.5%) 420(1.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [50] 49.3% hash-ref! [49] 16.4% ----------------------------------------------------------------------- eval-prog [48] 1.7% for-loop [15] 3.2% loop [62] 3.4% for-loop [9] 4.2% ??? [53] 11.6% localize-error [20] 13.1% ??? [67] 13.9% ??? [52] 23.3% loop [43] 25.7% [49] 3970(14.6%) 198(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [52] 23.3% simplify [51] 23.3% f6 [57] 16.9% ??? [53] 11.6% parse-loop12 [60] 10.1% ??? [3] 4.2% ??? [56] 3.4% ??? [4] 3.2% bigfloat-hash [55] 1.7% ----------------------------------------------------------------------- eval-prog [48] 33.3% inductor [50] 66.7% [50] 606(2.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [50] 66.7% integer->bigfloat [54] 33.3% ----------------------------------------------------------------------- loop [62] 7.5% hash-ref! [49] 92.5% [51] 2700(9.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [57] 100.0% ----------------------------------------------------------------------- hash-ref! [49] 100.0% [52] 2498(9.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [49] 100.0% ----------------------------------------------------------------------- hash-ref! [49] 100.0% [53] 1452(5.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [49] 100.0% ----------------------------------------------------------------------- inductor [50] 100.0% [54] 606(2.2%) 606(2.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ----------------------------------------------------------------------- hash-ref! [49] 100.0% [55] 202(0.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [58] 100.0% ----------------------------------------------------------------------- hash-ref! [49] 100.0% [56] 202(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [62] 100.0% ----------------------------------------------------------------------- append-map [25] 1.7% composed [44] 1.7% loop [62] 2.8% approximate9 [41] 6.3% parse-loop12 [60] 8.9% map [59] 13.4% hash-ref! [49] 27.0% simplify [51] 38.3% [57] 3972(14.6%) 402(1.5%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [59] 86.1% append-map [25] 3.4% composed [44] 1.7% loop [62] 1.3% ----------------------------------------------------------------------- bigfloat-hash [55] 100.0% [58] 202(0.7%) 202(0.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- f6 [57] 20.4% make-exacts* [17] 35.0% loop [18] 44.6% [59] 17536(64.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 81.2% parse-loop12 [60] 10.6% ??? [67] 4.6% f6 [57] 3.2% make-multiplication-node [61] 0.4% ----------------------------------------------------------------------- loop [62] 8.6% parse-loop12 [60] 9.5% hash-ref! [49] 22.0% map [59] 59.8% [60] 2948(10.8%) 1874(6.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [62] 33.1% f6 [57] 15.9% parse-loop12 [60] 9.5% ??? [63] 2.5% ----------------------------------------------------------------------- map [59] 100.0% [61] 202(0.7%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [64]100.0% ----------------------------------------------------------------------- make-exacts* [17] 0.2% post-process [13] 0.5% f6 [57] 0.9% ??? [56] 0.9% map [59] 1.9% parse-loop12 [60] 3.0% loop [62] 92.5% [62] 21806(80.0%) 192(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 92.5% parse-loop12 [60] 2.5% ??? [65] 1.9% hash-ref! [49] 0.9% simplify [51] 0.9% f6 [57] 0.5% completely-simplify-alt [66] 0.4% ??? [76] 0.2% localize-error [20] 0.1% ??? [67] 0.1% ->flonum [74] 0.0% ----------------------------------------------------------------------- parse-loop12 [60] 100.0% [63] 222(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 foldl [68] 100.0% ----------------------------------------------------------------------- make-multiplication-node [61] 100.0% [64] 202(0.7%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [69] 100.0% ----------------------------------------------------------------------- for-loop [47] 6.6% loop [62] 93.4% [65] 18160(66.6%) 1082(4.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [70] 73.4% real->bigfloat [71] 14.8% ??? [73] 3.7% ->flonum [74] 1.1% ----------------------------------------------------------------------- post-process [13] 9.6% loop [62] 90.4% [66] 2076(7.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [72] 100.0% ----------------------------------------------------------------------- loop [62] 38.2% map [59] 61.8% [67] 850(3.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [49] 88.2% curried [75] 11.8% ----------------------------------------------------------------------- ??? [63] 100.0% [68] 222(0.8%) 222(0.8%) foldl ...et/collects/racket/private/list.rkt:229:4 ----------------------------------------------------------------------- make-multiplication-subnode [64]100.0% [69] 202(0.7%) 202(0.7%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- ??? [65] 100.0% [70] 13324(48.9%) 404(1.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [76] 92.5% ??? [78] 4.5% ----------------------------------------------------------------------- ??? [65] 100.0% [71] 2692(9.9%) 1766(6.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [86] 34.4% ----------------------------------------------------------------------- simplify [35] 16.2% completely-simplify-alt [66] 83.8% [72] 2478(9.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [77] 91.9% debug7 [79] 8.1% ----------------------------------------------------------------------- ??? [65] 100.0% [73] 664(2.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [83] 100.0% ----------------------------------------------------------------------- ??? [65] 31.4% loop [62] 68.6% [74] 644(2.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [80] 37.6% ??? [78] 31.4% ??? [83] 31.1% ----------------------------------------------------------------------- ??? [67] 100.0% [75] 200(0.7%) 200(0.7%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- loop [62] 6.6% ??? [70] 93.4% [76] 13192(48.4%) 8136(29.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqrt [81] 21.6% ??? [83] 8.4% bfexpt [84] 8.4% ----------------------------------------------------------------------- simplify-expr [72] 100.0% [77] 2278(8.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [82] 100.0% ----------------------------------------------------------------------- ->flonum [74] 25.2% ??? [70] 74.8% [78] 802(2.9%) 802(2.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- taylor [45] 50.0% simplify-expr [72] 50.0% [79] 400(1.5%) 200(0.7%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [85] 50.0% ----------------------------------------------------------------------- ->flonum [74] 100.0% [80] 242(0.9%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [86] 100.0% ----------------------------------------------------------------------- ??? [76] 100.0% [81] 2844(10.4%) 1550(5.7%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [86] 45.5% ----------------------------------------------------------------------- iterate-egraph!5 [77] 100.0% [82] 2278(8.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [87] 100.0% ----------------------------------------------------------------------- ->flonum [74] 10.1% ??? [73] 33.7% ??? [76] 56.2% [83] 1972(7.2%) 832(3.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [88] 57.8% ----------------------------------------------------------------------- ??? [76] 100.0% [84] 1104(4.0%) 214(0.8%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [86] 80.6% ----------------------------------------------------------------------- debug7 [79] 100.0% [85] 200(0.7%) 200(0.7%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ----------------------------------------------------------------------- ??? [80] 7.2% bfexpt [84] 26.6% real->bigfloat [71] 27.6% bfsqrt [81] 38.6% [86] 3352(12.3%) 3352(12.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- for-loop [87] 50.0% one-iter [82] 50.0% [87] 2278(8.4%) 1260(4.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [87] 50.0% match-e [89] 22.3% ----------------------------------------------------------------------- ??? [83] 100.0% [88] 1140(4.2%) 674(2.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [90] 40.9% ----------------------------------------------------------------------- for-loop [87] 100.0% [89] 1018(3.7%) 1018(3.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 ----------------------------------------------------------------------- ??? [88] 100.0% [90] 466(1.7%) 466(1.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------