Profiling results ----------------- Total cpu time observed: 20770ms (out of 21156ms) Number of samples taken: 91 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 100 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [28] 100.0% [1] 20390(98.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [2] 12238(58.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 96.8% get-final-combination [12] 1.7% loop [34] 1.5% ---------------------------------------------------------------------- loop [65] 1.8% ??? [28] 98.2% [3] 11448(55.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 54.5% for-loop [9] 26.1% iterate-egraph!5 [14] 17.7% loop [15] 1.7% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [4] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [5] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [10] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 20390(98.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 11848(57.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 6234(30.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 96.8% loop [15] 3.2% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 2990(14.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 93.3% loop [15] 6.7% ---------------------------------------------------------------------- ??? [5] 100.0% [10] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [67] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [11] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [67] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 202(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ---------------------------------------------------------------------- for-loop [7] 100.0% [13] 11848(57.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 94.9% finalize-iter! [20] 3.2% gen-series! [21] 1.8% ---------------------------------------------------------------------- simplify [3] 18.7% for-loop [9] 25.7% simplify-expr [8] 55.6% [14] 10848(52.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 100.0% ---------------------------------------------------------------------- simplify [3] 33.3% simplify-expr [8] 33.3% for-loop [9] 33.3% [15] 600(2.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [19] 100.0% ---------------------------------------------------------------------- get-final-combination [12] 100.0% [16] 202(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [65] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [17] 11246(54.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [22] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 10848(52.2%) 200(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [23] 49.9% loop [24] 44.8% apply-match [29] 1.7% ---------------------------------------------------------------------- loop [15] 100.0% [19] 600(2.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [25] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [20] 384(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [21] 218(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ---------------------------------------------------------------------- simplify! [17] 100.0% [22] 11246(54.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% ---------------------------------------------------------------------- for-loop [23] 48.2% one-iter [18] 51.8% [23] 5408(26.0%) 1580(7.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 48.2% match-e [35] 35.4% ---------------------------------------------------------------------- one-iter [18] 100.0% [24] 4858(23.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [29] 100.0% ---------------------------------------------------------------------- pass [19] 100.0% [25] 600(2.9%) 200(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [32] 33.3% loop [33] 33.3% ---------------------------------------------------------------------- finalize-iter! [20] 100.0% [26] 384(1.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 100.0% ---------------------------------------------------------------------- gen-series! [21] 100.0% [27] 218(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ---------------------------------------------------------------------- for-loop [22] 18.4% run [6] 40.4% [28] 20770(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.4% run-improve58 [2] 20.7% loop [34] 20.5% simplify [3] 18.4% ---------------------------------------------------------------------- one-iter [18] 3.6% loop [24] 96.4% [29] 5038(24.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [42] 44.7% match-e [35] 19.6% loop! [72] 16.0% for-loop [36] 15.4% update-leader! [49] 4.2% ---------------------------------------------------------------------- ??? [26] 100.0% [30] 384(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [31] 218(1.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ---------------------------------------------------------------------- for-loop [25] 100.0% [32] 200(1.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [37] 100.0% ---------------------------------------------------------------------- for-loop [25] 100.0% [33] 200(1.0%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [37] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.2% ??? [28] 97.8% [34] 8720(42.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [48] 60.6% loop [41] 35.0% for-loop [47] 2.3% loop [51] 2.2% ---------------------------------------------------------------------- apply-match [29] 12.3% for-loop [50] 14.4% for-loop [23] 73.2% [35] 4814(23.2%) 1610(7.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [40] 60.3% custom-in-set [68] 4.2% for-loop [50] 4.2% loop [65] 4.2% ---------------------------------------------------------------------- apply-match [29] 100.0% [36] 778(3.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [42] 51.2% substitute-e [46] 26.0% loop! [72] 22.9% ---------------------------------------------------------------------- loop [33] 50.0% argmin [32] 50.0% [37] 400(1.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [43] 100.0% ---------------------------------------------------------------------- for-loop [30] 100.0% [38] 384(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ---------------------------------------------------------------------- taylor-alt [31] 100.0% [39] 218(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ---------------------------------------------------------------------- match-e [35] 100.0% [40] 3406(16.4%) 1608(7.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [50] 41.3% list-cartesian-product [54] 8.5% loop [65] 5.9% ---------------------------------------------------------------------- loop [34] 100.0% [41] 3052(14.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [48] 52.3% loop [51] 47.7% ---------------------------------------------------------------------- for-loop [36] 11.2% for-loop [52] 19.0% apply-match [29] 69.8% [42] 2652(12.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [49] 61.4% for-loop [52] 19.0% for-loop [55] 8.3% for-loop [53] 7.6% loop! [72] 3.8% ---------------------------------------------------------------------- expression-cost [37] 100.0% [43] 400(1.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [67] 100.0% ---------------------------------------------------------------------- atab-add-altn [38] 100.0% [44] 384(1.8%) 182(0.9%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [57] 52.6% ---------------------------------------------------------------------- for-loop [39] 100.0% [45] 218(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 100.0% ---------------------------------------------------------------------- for-loop [36] 100.0% [46] 202(1.0%) 202(1.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 ---------------------------------------------------------------------- loop [34] 100.0% [47] 200(1.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [58] 100.0% ---------------------------------------------------------------------- loop [41] 23.2% loop [34] 76.8% [48] 6876(33.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [65] 57.6% map [59] 42.4% ---------------------------------------------------------------------- apply-match [29] 10.4% merge-egraph-nodes! [42] 89.6% [49] 2042(9.8%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 100.0% ---------------------------------------------------------------------- match-e [35] 20.1% for-loop [40] 79.9% [50] 2000(9.6%) 212(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 69.4% ??? [61] 20.0% ---------------------------------------------------------------------- loop [34] 11.4% loop [41] 88.6% [51] 1644(7.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [52] 1006(4.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [42] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [53] 402(1.9%) 402(1.9%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- list-cartesian-product [54] 50.0% for-loop [40] 50.0% [54] 380(1.8%) 380(1.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [54] 50.0% ---------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [55] 220(1.1%) 220(1.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- location-do [45] 100.0% [56] 218(1.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [57] 202(1.0%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [63] 100.0% ---------------------------------------------------------------------- for-loop [47] 100.0% [58] 200(1.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [64] 100.0% ---------------------------------------------------------------------- loop [51] 36.1% make-exacts* [48] 63.9% [59] 4558(21.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [65] 100.0% ---------------------------------------------------------------------- update-leader! [49] 100.0% [60] 2042(9.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [66] 100.0% ---------------------------------------------------------------------- for-loop [50] 100.0% [61] 400(1.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 custom-in-set [68] 100.0% ---------------------------------------------------------------------- approximate9 [56] 100.0% [62] 218(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ---------------------------------------------------------------------- for-loop [57] 100.0% [63] 202(1.0%) 202(1.0%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- for-loop [58] 100.0% [64] 200(1.0%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [69] 100.0% ---------------------------------------------------------------------- match-e [35] 0.0% for-loop [40] 0.2% loop! [72] 0.4% ??? [70] 0.6% make-exacts* [48] 0.6% map [59] 1.2% extract-alt [16] 2.2% loop [65] 94.7% [65] 9326(44.9%) 202(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [65] 94.7% simplify [3] 2.2% ??? [70] 1.9% real->bigfloat [79] 0.5% loop! [72] 0.4% ??? [97] 0.2% foldl [78] 0.0% ...e/case-arrow.rkt:150:50 [74] 0.0% ---------------------------------------------------------------------- for-loop [60] 100.0% [66] 2042(9.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [71] 100.0% ---------------------------------------------------------------------- for-loop [11] 5.0% for-loop [10] 5.0% ??? [77] 5.0% loop [62] 5.0% ??? [76] 15.1% ??? [73] 24.3% compile [43] 40.5% [67] 618(3.0%) 200(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [73] 56.6% ??? [76] 15.1% ??? [77] 5.0% ??? [5] 5.0% ??? [4] 5.0% ??? [75] 5.0% ---------------------------------------------------------------------- match-e [35] 33.6% ??? [61] 66.4% [68] 602(2.9%) 602(2.9%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- sample-double [64] 100.0% [69] 200(1.0%) 200(1.0%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ---------------------------------------------------------------------- loop [65] 100.0% [70] 8520(41.0%) 1564(7.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 loop [65] 29.1% real->bigfloat [79] 26.5% ??? [81] 23.2% ??? [97] 2.8% ---------------------------------------------------------------------- for-loop [66] 100.0% [71] 2042(9.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [80] 100.0% ---------------------------------------------------------------------- loop [65] 8.5% for-loop [36] 15.0% merge-egraph-nodes! [42] 16.9% apply-match [29] 59.6% [72] 1186(5.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [82] 83.0% loop [65] 8.5% update-en-expr [84] 8.5% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [73] 400(1.9%) 200(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [67] 50.0% ---------------------------------------------------------------------- loop [65] 100.0% [74] 258(1.2%) 258(1.2%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- hash-ref! [67] 100.0% [75] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [83] 100.0% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [76] 218(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [67] 100.0% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [77] 218(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ---------------------------------------------------------------------- loop [65] 100.0% [78] 200(1.0%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [85] 100.0% ---------------------------------------------------------------------- loop [65] 44.4% ??? [70] 55.6% [79] 4072(19.6%) 3350(16.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 17.7% ---------------------------------------------------------------------- hash-update! [71] 100.0% [80] 2042(9.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [86] 100.0% ---------------------------------------------------------------------- ??? [70] 100.0% [81] 1978(9.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [87] 62.1% ...higher-order.rkt:373:33 [89] 24.8% ??? [92] 13.1% ---------------------------------------------------------------------- loop! [72] 100.0% [82] 984(4.7%) 178(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [88] 61.4% for-loop [91] 20.5% ---------------------------------------------------------------------- ??? [75] 100.0% [83] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [90] 100.0% ---------------------------------------------------------------------- loop! [72] 100.0% [84] 202(1.0%) 202(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- foldl [78] 100.0% [85] 200(1.0%) 200(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- ??? [80] 100.0% [86] 2042(9.8%) 2042(9.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- ??? [81] 100.0% [87] 1228(5.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ---------------------------------------------------------------------- custom-set-union [82] 100.0% [88] 604(2.9%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [93] 100.0% ---------------------------------------------------------------------- ??? [81] 100.0% [89] 490(2.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ---------------------------------------------------------------------- for-loop [83] 100.0% [90] 218(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [95] 100.0% ---------------------------------------------------------------------- custom-set-union [82] 100.0% [91] 202(1.0%) 202(1.0%) for-loop ...cts/racket/private/set-types.rkt:152:2 ---------------------------------------------------------------------- ??? [81] 17.5% bf* [87] 82.5% [92] 1488(7.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [96] 100.0% ---------------------------------------------------------------------- for-loop [88] 100.0% [93] 604(2.9%) 604(2.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89]100.0% [94] 490(2.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [97] 100.0% ---------------------------------------------------------------------- simplify [90] 100.0% [95] 218(1.0%) 218(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 ---------------------------------------------------------------------- ??? [92] 100.0% [96] 1488(7.2%) 960(4.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 35.5% ---------------------------------------------------------------------- ??? [70] 20.7% loop [65] 36.2% ??? [94] 43.1% [97] 1138(5.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [99] 100.0% ---------------------------------------------------------------------- bfmul [96] 42.2% real->bigfloat [79] 57.8% [98] 1250(6.0%) 1250(6.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [97] 100.0% [99] 1138(5.5%) 1138(5.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ----------------------------------------------------------------------