Profiling results ----------------- Total cpu time observed: 16908ms (out of 17296ms) Number of samples taken: 71 (once every 238ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [30] 100.0% [1] 16908(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [2] 10864(64.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 80.9% finalize-table! [9] 13.1% get-final-combination [11] 4.1% setup-prog [12] 1.9% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [3] 1238(7.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [10] 100.0% ----------------------------------------------------------------------- loop [81] 100.0% [4] 402(2.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [25] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [5] 256(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [81] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [6] 200(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 16908(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 8790(52.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1422(8.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ----------------------------------------------------------------------- ??? [3] 100.0% [10] 1238(7.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [16] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 444(2.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 208(1.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [18] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [13] 200(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [59] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [14] 8790(52.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 88.2% gen-series! [22] 9.3% finalize-iter! [23] 2.5% ----------------------------------------------------------------------- finalize-table! [9] 100.0% [15] 1422(8.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [21] 71.7% loop [81] 28.3% ----------------------------------------------------------------------- for-loop [10] 100.0% [16] 1238(7.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [59] 100.0% ----------------------------------------------------------------------- get-final-combination [11] 100.0% [17] 444(2.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [81] 100.0% ----------------------------------------------------------------------- setup-prog [12] 100.0% [18] 208(1.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [19] 100.0% ----------------------------------------------------------------------- simplify-alt [18] 2.5% loop [81] 5.3% ??? [30] 92.2% [19] 8402(49.7%) 272(1.6%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [25] 59.4% for-loop [26] 21.7% iterate-egraph!5 [31] 15.6% ----------------------------------------------------------------------- run-iter! [14] 100.0% [20] 7750(45.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ----------------------------------------------------------------------- post-process [15] 100.0% [21] 1020(6.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [27] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [22] 820(4.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [23] 220(1.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ----------------------------------------------------------------------- simplify! [20] 100.0% [24] 7750(45.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 7.4% simplify [19] 92.6% [25] 5396(31.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [31] 91.2% loop [33] 8.8% ----------------------------------------------------------------------- simplify [19] 100.0% [26] 1826(10.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [31] 100.0% ----------------------------------------------------------------------- for-loop [21] 100.0% [27] 1020(6.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [32] 80.2% loop [81] 19.8% ----------------------------------------------------------------------- gen-series! [22] 100.0% [28] 820(4.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ----------------------------------------------------------------------- finalize-iter! [23] 100.0% [29] 220(1.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% ----------------------------------------------------------------------- for-loop [24] 15.3% run [7] 42.4% [30] 16908(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.4% run-improve58 [2] 24.5% loop [36] 17.9% simplify [19] 15.3% ----------------------------------------------------------------------- simplify [19] 16.3% for-loop [26] 22.7% simplify-expr [25] 61.1% [31] 8058(47.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [35] 100.0% ----------------------------------------------------------------------- loop [81] 11.0% append-map [27] 44.5% for-loop [28] 44.6% [32] 1840(10.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ----------------------------------------------------------------------- simplify-expr [25] 100.0% [33] 474(2.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [38] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [34] 220(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [35] 8058(47.7%) 222(1.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [40] 49.6% loop [41] 47.7% ----------------------------------------------------------------------- ??? [30] 100.0% [36] 6044(35.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [46] 58.4% loop [42] 37.7% loop [49] 3.9% ----------------------------------------------------------------------- taylor-alt [32] 100.0% [37] 1840(10.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [43] 100.0% ----------------------------------------------------------------------- loop [33] 100.0% [38] 474(2.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [44] 100.0% ----------------------------------------------------------------------- for-loop [34] 100.0% [39] 220(1.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% ----------------------------------------------------------------------- for-loop [40] 50.0% one-iter [35] 50.0% [40] 3996(23.6%) 830(4.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [40] 50.0% match-e [54] 39.6% ----------------------------------------------------------------------- one-iter [35] 100.0% [41] 3840(22.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [47] 100.0% ----------------------------------------------------------------------- loop [36] 100.0% [42] 2278(13.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 58.1% make-exacts* [46] 30.6% eval-prog [51] 11.2% ----------------------------------------------------------------------- location-do [43] 39.1% for-loop [37] 60.9% [43] 1840(10.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [48] 60.9% location-do [43] 39.1% ----------------------------------------------------------------------- pass [38] 100.0% [44] 474(2.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [50] 57.4% argmin [53] 42.6% ----------------------------------------------------------------------- atab-add-altn [39] 100.0% [45] 220(1.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [52] 100.0% ----------------------------------------------------------------------- loop [42] 16.5% loop [36] 83.5% [46] 4226(25.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [79] 67.3% loop [81] 32.7% ----------------------------------------------------------------------- loop [41] 100.0% [47] 3840(22.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [54] 32.6% merge-egraph-nodes! [56] 23.5% loop! [85] 21.4% substitute-e [57] 16.2% for-loop [58] 6.2% ----------------------------------------------------------------------- location-do [43] 100.0% [48] 1840(10.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [55] 100.0% ----------------------------------------------------------------------- loop [36] 15.2% loop [42] 84.8% [49] 1562(9.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [79] 100.0% ----------------------------------------------------------------------- for-loop [44] 100.0% [50] 272(1.6%) 272(1.6%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- loop [42] 100.0% [51] 256(1.5%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [59] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [52] 220(1.3%) 220(1.3%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- for-loop [44] 100.0% [53] 202(1.2%) 202(1.2%) argmin ...re/racket/collects/racket/list.rkt:743:0 ----------------------------------------------------------------------- apply-match [47] 18.7% for-loop [64] 19.4% for-loop [40] 61.9% [54] 4418(26.1%) 2162(12.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [60] 37.3% for-loop [64] 19.3% loop [81] 4.5% ----------------------------------------------------------------------- approximate9 [48] 100.0% [55] 1840(10.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [59] 100.0% ----------------------------------------------------------------------- apply-match [47] 100.0% [56] 904(5.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [61] 73.5% enode-merge! [63] 26.5% ----------------------------------------------------------------------- apply-match [47] 100.0% [57] 622(3.7%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [62] 100.0% ----------------------------------------------------------------------- apply-match [47] 100.0% [58] 240(1.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [85] 100.0% ----------------------------------------------------------------------- for-loop [13] 1.9% ??? [67] 5.1% loop [81] 6.1% eval-prog [51] 6.1% for-loop [16] 18.4% ??? [65] 31.2% loop [55] 31.2% [59] 2096(12.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [65] 31.2% simplify [66] 31.2% ??? [3] 18.4% ??? [5] 6.1% bigfloat-hash [68] 6.1% ??? [67] 5.1% ??? [6] 1.9% ----------------------------------------------------------------------- match-e [54] 100.0% [60] 2080(12.3%) 610(3.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [64] 65.0% curry* [70] 10.7% foldl [72] 4.9% ----------------------------------------------------------------------- merge-egraph-nodes! [56] 100.0% [61] 664(3.9%) 442(2.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [71] 33.4% ----------------------------------------------------------------------- substitute-e [57] 100.0% [62] 622(3.7%) 422(2.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [73] 32.2% ----------------------------------------------------------------------- merge-egraph-nodes! [56] 100.0% [63] 240(1.4%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [69] 100.0% ----------------------------------------------------------------------- match-e [54] 39.5% for-loop [60] 60.5% [64] 2738(16.2%) 620(3.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [54] 62.7% ??? [75] 14.7% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [65] 1840(10.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [59] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [66] 1840(10.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [84] 67.3% f37 [74] 32.7% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [67] 402(2.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [59] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [68] 256(1.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [76] 100.0% ----------------------------------------------------------------------- enode-merge! [63] 100.0% [69] 240(1.4%) 240(1.4%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ----------------------------------------------------------------------- for-loop [60] 100.0% [70] 222(1.3%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [77] 100.0% ----------------------------------------------------------------------- update-leader! [61] 100.0% [71] 222(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [78] 100.0% ----------------------------------------------------------------------- for-loop [60] 100.0% [72] 202(1.2%) 202(1.2%) foldl ...et/collects/racket/private/list.rkt:229:4 ----------------------------------------------------------------------- mk-enode! [62] 100.0% [73] 200(1.2%) 200(1.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- parse-loop50 [84] 26.8% map [79] 28.5% simplify [66] 44.7% [74] 822(4.9%) 220(1.3%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [79] 86.6% ----------------------------------------------------------------------- for-loop [64] 100.0% [75] 402(2.4%) 402(2.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- bigfloat-hash [68] 100.0% [76] 256(1.5%) 256(1.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- curry* [70] 100.0% [77] 222(1.3%) 222(1.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------- for-loop [71] 100.0% [78] 222(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [80] 100.0% ----------------------------------------------------------------------- parse-loop50 [84] 8.0% f37 [74] 13.7% loop [49] 27.7% make-exacts* [46] 50.6% [79] 5630(33.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 81.8% parse-loop50 [84] 14.6% f37 [74] 3.6% ----------------------------------------------------------------------- for-loop [78] 100.0% [80] 222(1.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [82] 100.0% ----------------------------------------------------------------------- make-exacts* [46] 0.1% match-e [54] 0.3% post-process [15] 1.0% parse-loop50 [84] 1.8% append-map [27] 2.3% ??? [5] 2.9% map [79] 3.0% loop! [85] 3.1% extract-alt [17] 5.1% loop [81] 80.4% [81] 8754(51.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 80.4% simplify [19] 5.1% parse-loop50 [84] 4.1% loop! [85] 3.1% hash-ref! [59] 2.9% taylor-alt [32] 2.3% completely-simplify-alt [4] 1.0% ??? [83] 0.8% curried [87] 0.3% ----------------------------------------------------------------------- hash-update! [80] 100.0% [82] 222(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [86] 100.0% ----------------------------------------------------------------------- loop [81] 100.0% [83] 5788(34.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [88] 57.0% real->bigfloat [89] 35.8% ??? [97] 7.2% ----------------------------------------------------------------------- loop [81] 13.6% simplify [66] 26.7% parse-loop50 [84] 28.4% map [79] 31.3% [84] 1840(10.9%) 1620(9.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [84] 28.4% map [79] 10.9% loop [81] 10.9% f37 [74] 8.0% ----------------------------------------------------------------------- for-loop [58] 11.3% loop [81] 44.1% apply-match [47] 44.6% [85] 1062(6.3%) 400(2.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [81] 44.1% custom-set-union [92] 18.8% set [90] 18.3% ----------------------------------------------------------------------- ??? [82] 100.0% [86] 222(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [91] 100.0% ----------------------------------------------------------------------- loop [81] 100.0% [87] 200(1.2%) 200(1.2%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- ??? [83] 100.0% [88] 3300(19.5%) 466(2.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 64.4% ...higher-order.rkt:373:33 [94] 21.5% ----------------------------------------------------------------------- ??? [83] 100.0% [89] 2070(12.2%) 1628(9.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 21.4% ----------------------------------------------------------------------- loop! [85] 100.0% [90] 462(2.7%) 462(2.7%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- for-loop [86] 100.0% [91] 222(1.3%) 222(1.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- loop! [85] 100.0% [92] 200(1.2%) 200(1.2%) custom-set-union ...et/private/set-types.rkt:168:0 ----------------------------------------------------------------------- ??? [88] 100.0% [93] 2124(12.6%) 250(1.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [95] 77.3% ??? [99] 10.9% ----------------------------------------------------------------------- ??? [88] 100.0% [94] 710(4.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [96] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [95] 1642(9.7%) 1446(8.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 11.9% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [94]100.0% [96] 710(4.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [97] 100.0% ----------------------------------------------------------------------- ??? [83] 37.1% ??? [96] 62.9% [97] 1128(6.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [99] 100.0% ----------------------------------------------------------------------- bfadd [95] 30.7% real->bigfloat [89] 69.3% [98] 638(3.8%) 638(3.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [93] 17.1% ??? [97] 82.9% [99] 1360(8.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 85.3% ??? [101] 14.7% ----------------------------------------------------------------------- ??? [99] 100.0% [100] 1160(6.9%) 218(1.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 81.2% ----------------------------------------------------------------------- ??? [99] 100.0% [101] 200(1.2%) 200(1.2%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ----------------------------------------------------------------------- ??? [100] 100.0% [102] 942(5.6%) 942(5.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------