Profiling results ----------------- Total cpu time observed: 21152ms (out of 21560ms) Number of samples taken: 90 (once every 235ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 106 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [30] 100.0% [1] 19728(93.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ------------------------------------------------------------------------ ??? [30] 100.0% [2] 9008(42.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 97.8% get-final-combination [12] 2.2% ------------------------------------------------------------------------ loop [68] 2.5% ??? [30] 97.5% [3] 8004(37.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 57.9% for-loop [9] 27.0% iterate-egraph!5 [14] 15.1% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [4] 204(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [10] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [5] 204(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [6] 19728(93.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [7] 8808(41.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [8] 4636(21.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 95.2% loop [15] 4.8% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 2162(10.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [10] 204(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [70] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [11] 204(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [16] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [12] 200(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ------------------------------------------------------------------------ for-loop [7] 100.0% [13] 8808(41.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 88.6% finalize-iter! [20] 6.8% gen-series! [21] 4.6% ------------------------------------------------------------------------ simplify [3] 15.5% for-loop [9] 27.8% simplify-expr [8] 56.7% [14] 7782(36.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 94.8% map-enodes [22] 5.2% ------------------------------------------------------------------------ simplify-expr [8] 100.0% [15] 222(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [23] 100.0% ------------------------------------------------------------------------ for-loop [11] 100.0% [16] 204(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [70] 100.0% ------------------------------------------------------------------------ get-final-combination [12] 100.0% [17] 200(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [68] 100.0% ------------------------------------------------------------------------ run-iter! [13] 100.0% [18] 7804(36.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [14] 100.0% [19] 7380(34.9%) 202(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 59.8% loop [26] 34.7% apply-match [31] 2.7% ------------------------------------------------------------------------ run-iter! [13] 100.0% [20] 600(2.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ------------------------------------------------------------------------ run-iter! [13] 100.0% [21] 404(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [14] 100.0% [22] 402(1.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [68] 100.0% ------------------------------------------------------------------------ loop [15] 100.0% [23] 222(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% ------------------------------------------------------------------------ simplify! [18] 100.0% [24] 7804(36.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ------------------------------------------------------------------------ for-loop [25] 50.0% one-iter [19] 50.0% [25] 4414(20.9%) 604(2.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 50.0% match-e [36] 43.2% ------------------------------------------------------------------------ one-iter [19] 100.0% [26] 2564(12.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% ------------------------------------------------------------------------ finalize-iter! [20] 100.0% [27] 600(2.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% ------------------------------------------------------------------------ gen-series! [21] 100.0% [28] 404(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ------------------------------------------------------------------------ pass [23] 100.0% [29] 222(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [34] 100.0% ------------------------------------------------------------------------ for-loop [24] 13.4% run [6] 41.6% [30] 21152(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.6% loop [35] 28.7% run-improve58 [2] 16.3% simplify [3] 13.4% ------------------------------------------------------------------------ one-iter [19] 7.2% loop [26] 92.8% [31] 2764(13.1%) 378(1.8%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [45] 36.4% for-loop [37] 28.1% match-e [36] 7.3% substitute-e [42] 7.2% reduce-to-single! [41] 7.2% ------------------------------------------------------------------------ ??? [27] 100.0% [32] 600(2.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ------------------------------------------------------------------------ for-loop [28] 100.0% [33] 404(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ------------------------------------------------------------------------ for-loop [29] 100.0% [34] 222(1.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [40] 100.0% ------------------------------------------------------------------------ ??? [30] 100.0% [35] 12144(57.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 50.5% make-exacts* [50] 49.5% ------------------------------------------------------------------------ apply-match [31] 2.5% for-loop [52] 7.8% for-loop [25] 89.7% [36] 4012(19.0%) 1604(7.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 47.5% for-loop [52] 7.8% custom-in-set [49] 5.0% loop [68] 2.5% ------------------------------------------------------------------------ apply-match [31] 100.0% [37] 778(3.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [74] 48.6% merge-egraph-nodes! [45] 25.7% mk-enode! [48] 25.7% ------------------------------------------------------------------------ for-loop [32] 100.0% [38] 600(2.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [46] 100.0% ------------------------------------------------------------------------ taylor-alt [33] 100.0% [39] 404(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ------------------------------------------------------------------------ argmin [34] 100.0% [40] 222(1.0%) 222(1.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 ------------------------------------------------------------------------ apply-match [31] 100.0% [41] 200(0.9%) 200(0.9%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ------------------------------------------------------------------------ apply-match [31] 100.0% [42] 200(0.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [48] 100.0% ------------------------------------------------------------------------ loop [35] 100.0% [43] 6128(29.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 82.7% make-exacts* [50] 17.3% ------------------------------------------------------------------------ match-e [36] 100.0% [44] 2006(9.5%) 604(2.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [52] 40.0% list-cartesian-product [58] 10.0% curry* [60] 10.0% filter [59] 10.0% ------------------------------------------------------------------------ for-loop [37] 16.6% apply-match [31] 83.4% [45] 1206(5.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [53] 66.7% loop! [74] 33.3% ------------------------------------------------------------------------ atab-add-altn [38] 100.0% [46] 600(2.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 66.3% for-loop [56] 33.7% ------------------------------------------------------------------------ location-do [47] 33.0% for-loop [39] 67.0% [47] 404(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [54] 67.0% location-do [47] 33.0% ------------------------------------------------------------------------ for-loop [37] 50.0% substitute-e [42] 50.0% [48] 400(1.9%) 200(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [57] 50.0% ------------------------------------------------------------------------ match-e [36] 100.0% [49] 200(0.9%) 200(0.9%) custom-in-set ...acket/private/set-types.rkt:578:0 ------------------------------------------------------------------------ loop [43] 15.0% loop [35] 85.0% [50] 7076(33.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [61] 56.8% loop [68] 43.2% ------------------------------------------------------------------------ loop [43] 100.0% [51] 5068(24.0%) 256(1.2%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 94.9% ------------------------------------------------------------------------ match-e [36] 43.7% for-loop [44] 56.3% [52] 1424(6.7%) 400(1.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 43.7% ??? [64] 28.2% ------------------------------------------------------------------------ merge-egraph-nodes! [45] 100.0% [53] 804(3.8%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [62] 100.0% ------------------------------------------------------------------------ location-do [47] 100.0% [54] 404(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [63] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [46] 100.0% [55] 398(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [65] 50.8% eval-prog [67] 49.2% ------------------------------------------------------------------------ best-and-tied-at-points [46] 100.0% [56] 202(1.0%) 202(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------ mk-enode! [48] 100.0% [57] 200(0.9%) 200(0.9%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------ for-loop [44] 100.0% [58] 200(0.9%) 200(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------ for-loop [44] 100.0% [59] 200(0.9%) 200(0.9%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------ for-loop [44] 100.0% [60] 200(0.9%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [66] 100.0% ------------------------------------------------------------------------ f143 [86] 2.3% make-exacts* [50] 44.5% loop [51] 53.2% [61] 9038(42.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [68] 94.9% ??? [73] 2.8% parse-loop25 [72] 1.1% f143 [86] 1.1% ------------------------------------------------------------------------ update-leader! [53] 100.0% [62] 804(3.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [69] 100.0% ------------------------------------------------------------------------ approximate9 [54] 100.0% [63] 404(1.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ------------------------------------------------------------------------ for-loop [52] 100.0% [64] 402(1.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [71] 100.0% ------------------------------------------------------------------------ errors [55] 100.0% [65] 202(1.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 100.0% ------------------------------------------------------------------------ curry* [60] 100.0% [66] 200(0.9%) 200(0.9%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------ errors [55] 100.0% [67] 196(0.9%) 196(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ make-exacts* [50] 0.0% ??? [73] 0.1% loop! [74] 1.1% extract-alt [17] 1.6% match-e [36] 1.6% map-enodes [22] 2.0% map [61] 2.4% loop [68] 91.2% [68] 12814(60.6%) 852(4.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [68] 91.2% ??? [73] 2.3% for-loop [78] 2.0% simplify [3] 1.6% loop! [74] 1.1% real->bigfloat [81] 0.1% ------------------------------------------------------------------------ for-loop [62] 100.0% [69] 804(3.8%) 202(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [75] 74.9% ------------------------------------------------------------------------ ??? [16] 5.6% ??? [79] 5.6% for-loop [10] 11.2% ??? [80] 16.8% ??? [77] 30.4% loop [63] 30.4% [70] 404(1.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [77] 30.4% simplify [76] 30.4% ??? [80] 16.8% ??? [4] 11.2% ??? [79] 5.6% ??? [5] 5.6% ------------------------------------------------------------------------ ??? [64] 100.0% [71] 402(1.9%) 402(1.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------ map [61] 100.0% [72] 204(1.0%) 0(0.0%) parse-loop25 ...s/racket/match/compiler.rkt:410:15 f143 [86] 100.0% ------------------------------------------------------------------------ for-loop [65] 1.8% map [61] 2.2% loop [68] 96.0% [73] 11452(54.1%) 1894(9.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 30.7% loop [68] 20.7% real->bigfloat [81] 19.3% ??? [100] 10.7% ...e/case-arrow.rkt:150:50 [85] 2.2% ------------------------------------------------------------------------ loop [68] 24.2% for-loop [37] 24.2% merge-egraph-nodes! [45] 51.5% [74] 780(3.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [84] 51.5% loop [68] 24.2% update-en-expr [88] 12.8% set [90] 11.4% ------------------------------------------------------------------------ for-loop [69] 100.0% [75] 602(2.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [83] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [76] 404(1.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f143 [86] 50.5% debug7 [89] 49.5% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [77] 404(1.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ------------------------------------------------------------------------ loop [68] 100.0% [78] 402(1.9%) 200(0.9%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [87] 50.2% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [79] 204(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [70] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [80] 204(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ------------------------------------------------------------------------ loop [68] 49.5% ??? [73] 50.5% [81] 4368(20.7%) 3184(15.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [103] 27.1% ------------------------------------------------------------------------ ??? [73] 100.0% [82] 3512(16.6%) 202(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [91] 60.6% ...higher-order.rkt:373:33 [92] 27.4% ??? [97] 6.2% ------------------------------------------------------------------------ hash-update! [75] 100.0% [83] 602(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [93] 100.0% ------------------------------------------------------------------------ loop! [74] 100.0% [84] 402(1.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [94] 100.0% ------------------------------------------------------------------------ ??? [73] 100.0% [85] 248(1.2%) 248(1.2%) ...e/case-arrow.rkt:150:50 (unknown source) ------------------------------------------------------------------------ map [61] 33.3% parse-loop25 [72] 33.3% simplify [76] 33.3% [86] 204(1.0%) 0(0.0%) f143 .../collects/racket/match/compiler.rkt:499:40 map [61] 66.7% gather-multiplicative-terms [95] 33.3% ------------------------------------------------------------------------ for-loop [78] 100.0% [87] 202(1.0%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 constant? [96] 100.0% ------------------------------------------------------------------------ loop! [74] 100.0% [88] 200(0.9%) 200(0.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ simplify [76] 100.0% [89] 200(0.9%) 200(0.9%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ------------------------------------------------------------------------ loop! [74] 100.0% [90] 178(0.8%) 178(0.8%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ??? [82] 100.0% [91] 2130(10.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [97] 100.0% ------------------------------------------------------------------------ ??? [82] 100.0% [92] 962(4.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [98] 75.7% ??? [100] 24.3% ------------------------------------------------------------------------ ??? [83] 100.0% [93] 602(2.8%) 602(2.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------------ custom-set-union [84] 100.0% [94] 402(1.9%) 200(0.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [99] 50.2% ------------------------------------------------------------------------ f143 [86] 100.0% [95] 204(1.0%) 204(1.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ------------------------------------------------------------------------ setfindf [87] 100.0% [96] 202(1.0%) 202(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------ ??? [82] 9.3% bf* [91] 90.7% [97] 2348(11.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [101] 70.8% ??? [102] 29.2% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [92] 100.0% [98] 728(3.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [100] 100.0% ------------------------------------------------------------------------ for-loop [94] 100.0% [99] 202(1.0%) 202(1.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [92] 10.7% ??? [98] 33.3% ??? [73] 56.0% [100] 2186(10.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [102] 100.0% ------------------------------------------------------------------------ ??? [97] 100.0% [101] 1662(7.9%) 976(4.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [103] 41.3% ------------------------------------------------------------------------ ??? [97] 23.9% ??? [100] 76.1% [102] 2872(13.6%) 724(3.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [104] 74.8% ------------------------------------------------------------------------ bfmul [101] 36.7% real->bigfloat [81] 63.3% [103] 1870(8.8%) 1870(8.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [102] 100.0% [104] 2148(10.2%) 1694(8.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [105] 21.1% ------------------------------------------------------------------------ ??? [104] 100.0% [105] 454(2.1%) 454(2.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------