Profiling results ----------------- Total cpu time observed: 20604ms (out of 20900ms) Number of samples taken: 92 (once every 224ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 105 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [22] 100.0% [1] 19742(95.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [22] 100.0% [2] 13556(65.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 86.8% get-final-combination [6] 11.8% setup-prog [7] 1.5% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [3] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [8] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 19742(95.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 11760(57.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 1596(7.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 200(1.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [8] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [66] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [9] 11760(57.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 93.0% gen-series! [14] 3.6% finalize-iter! [15] 3.4% ---------------------------------------------------------------------- get-final-combination [6] 100.0% [10] 1596(7.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [54] 100.0% ---------------------------------------------------------------------- setup-prog [7] 100.0% [11] 200(1.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [12] 100.0% ---------------------------------------------------------------------- simplify-alt [11] 1.6% loop [54] 12.5% ??? [22] 85.9% [12] 12732(61.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 68.4% for-loop [18] 24.6% iterate-egraph!5 [23] 5.4% debug-print [21] 1.7% ---------------------------------------------------------------------- run-iter! [9] 100.0% [13] 10936(53.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [14] 422(2.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [19] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [15] 402(2.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% ---------------------------------------------------------------------- simplify! [13] 100.0% [16] 10936(53.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 100.0% ---------------------------------------------------------------------- simplify [12] 100.0% [17] 8704(42.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 95.2% loop [25] 4.8% ---------------------------------------------------------------------- simplify [12] 100.0% [18] 3132(15.2%) 200(1.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 93.6% ---------------------------------------------------------------------- gen-series! [14] 100.0% [19] 422(2.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [24] 100.0% ---------------------------------------------------------------------- finalize-iter! [15] 100.0% [20] 402(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 100.0% ---------------------------------------------------------------------- simplify [12] 100.0% [21] 214(1.0%) 214(1.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- for-loop [16] 18.4% run [4] 40.0% [22] 20384(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.0% run-improve58 [2] 24.8% simplify [12] 18.4% loop [28] 16.7% ---------------------------------------------------------------------- simplify [12] 5.7% for-loop [18] 24.6% simplify-expr [17] 69.6% [23] 11898(57.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [27] 92.7% map-enodes [29] 7.3% ---------------------------------------------------------------------- for-loop [19] 100.0% [24] 422(2.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [30] 100.0% ---------------------------------------------------------------------- simplify-expr [17] 100.0% [25] 420(2.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [31] 100.0% ---------------------------------------------------------------------- ??? [20] 100.0% [26] 402(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [32] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [27] 11032(53.5%) 240(1.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [33] 57.9% for-loop [34] 40.0% ---------------------------------------------------------------------- ??? [22] 100.0% [28] 6828(33.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [41] 51.1% loop [35] 48.9% ---------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [29] 866(4.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [54] 100.0% ---------------------------------------------------------------------- taylor-alt [24] 100.0% [30] 422(2.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [36] 100.0% ---------------------------------------------------------------------- loop [25] 100.0% [31] 420(2.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [37] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [32] 402(2.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [38] 50.2% loop [39] 49.8% ---------------------------------------------------------------------- one-iter [27] 100.0% [33] 6384(31.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% ---------------------------------------------------------------------- for-loop [34] 50.0% one-iter [27] 50.0% [34] 4408(21.4%) 850(4.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [34] 50.0% match-e [48] 40.4% ---------------------------------------------------------------------- loop [28] 100.0% [35] 3338(16.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [41] 50.6% loop [42] 49.4% ---------------------------------------------------------------------- for-loop [30] 100.0% [36] 422(2.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [43] 100.0% ---------------------------------------------------------------------- pass [31] 100.0% [37] 420(2.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [44] 52.4% argmin [47] 47.6% ---------------------------------------------------------------------- atab-add-altn [32] 100.0% [38] 202(1.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [45] 100.0% ---------------------------------------------------------------------- atab-add-altn [32] 100.0% [39] 200(1.0%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [46] 100.0% ---------------------------------------------------------------------- loop [33] 100.0% [40] 6384(31.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [48] 42.2% merge-egraph-nodes! [56] 22.3% for-loop [50] 13.2% loop! [63] 9.7% mk-enode! [57] 9.5% substitute-e [53] 3.1% ---------------------------------------------------------------------- loop [35] 32.6% loop [28] 67.4% [41] 5180(25.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [54] 59.7% map [49] 40.3% ---------------------------------------------------------------------- loop [35] 100.0% [42] 1648(8.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [49] 100.0% ---------------------------------------------------------------------- location-do [36] 100.0% [43] 422(2.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [51] 100.0% ---------------------------------------------------------------------- for-loop [37] 100.0% [44] 220(1.1%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [52] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [38] 100.0% [45] 202(1.0%) 202(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- loop [39] 33.3% loop [46] 66.7% [46] 200(1.0%) 200(1.0%) loop ...are/racket/collects/racket/list.rkt:431:28 loop [46] 66.7% ---------------------------------------------------------------------- for-loop [37] 100.0% [47] 200(1.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [52] 100.0% ---------------------------------------------------------------------- for-loop [62] 27.8% apply-match [40] 27.8% for-loop [34] 44.4% [48] 6252(30.3%) 2280(11.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [55] 60.2% for-loop [62] 8.0% custom-in-set [60] 3.2% loop [54] 1.8% list-cartesian-product [64] 1.6% ---------------------------------------------------------------------- loop [42] 44.1% make-exacts* [41] 55.9% [49] 3734(18.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [54] 94.3% ??? [61] 5.7% ---------------------------------------------------------------------- apply-match [40] 100.0% [50] 840(4.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [56] 50.0% loop! [63] 50.0% ---------------------------------------------------------------------- approximate9 [43] 100.0% [51] 422(2.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 iterate-diagonal [59] 52.6% hash-ref! [66] 47.4% ---------------------------------------------------------------------- argmin [47] 47.6% loop [44] 52.4% [52] 420(2.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [58] 100.0% ---------------------------------------------------------------------- apply-match [40] 100.0% [53] 200(1.0%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [57] 100.0% ---------------------------------------------------------------------- ??? [61] 0.0% make-exacts* [41] 0.1% map [49] 0.2% map-enodes [29] 1.2% for-loop [55] 1.9% match-e [48] 2.1% loop! [63] 3.9% extract-alt [10] 10.3% loop [54] 80.2% [54] 10360(50.3%) 222(1.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [54] 80.2% simplify [12] 10.3% loop! [63] 3.9% set-precompute! [70] 1.1% ??? [61] 0.3% for-loop [67] 0.2% real->bigfloat [73] 0.0% ---------------------------------------------------------------------- match-e [48] 100.0% [55] 4388(21.3%) 1886(9.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [62] 40.2% list-cartesian-product [64] 19.4% foldl [72] 4.6% loop [54] 2.3% ---------------------------------------------------------------------- merge-egraph-nodes! [56] 3.6% for-loop [68] 9.1% for-loop [50] 22.8% apply-match [40] 64.5% [56] 1846(9.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [65] 60.9% loop! [63] 15.5% enode-merge! [71] 10.9% for-loop [68] 9.1% merge-egraph-nodes! [56] 3.6% ---------------------------------------------------------------------- substitute-e [53] 24.8% apply-match [40] 75.2% [57] 806(3.9%) 406(2.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [69] 49.6% ---------------------------------------------------------------------- expression-cost [52] 100.0% [58] 420(2.0%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [66] 100.0% ---------------------------------------------------------------------- loop [51] 100.0% [59] 222(1.1%) 0(0.0%) iterate-diagonal ...rbie/src/core/taylor.rkt:150:0 hash-ref! [66] 100.0% ---------------------------------------------------------------------- match-e [48] 100.0% [60] 202(1.0%) 202(1.0%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- map [49] 3.1% loop [54] 96.9% [61] 6828(33.1%) 240(1.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [73] 41.0% ??? [74] 23.8% loop [54] 15.9% ??? [98] 12.6% ...e/case-arrow.rkt:150:50 [80] 3.2% ---------------------------------------------------------------------- match-e [48] 29.0% for-loop [55] 71.0% [62] 3330(16.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [48] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [56] 12.1% for-loop [50] 21.3% loop [54] 31.8% apply-match [40] 34.8% [63] 1458(7.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [89] 41.0% loop [54] 31.8% set [76] 19.6% update-en-expr [104] 7.5% ---------------------------------------------------------------------- match-e [48] 15.9% list-cartesian-product [64] 16.7% for-loop [55] 67.5% [64] 1260(6.1%) 1060(5.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [64] 16.7% for-loop [82] 7.9% ---------------------------------------------------------------------- merge-egraph-nodes! [56] 100.0% [65] 1224(5.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [75] 100.0% ---------------------------------------------------------------------- ??? [85] 3.0% loop [51] 3.0% for-loop [8] 5.9% ??? [86] 11.9% compile [58] 19.0% iterate-diagonal [59] 26.4% ??? [77] 30.9% [66] 842(4.1%) 642(3.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [77] 30.9% ??? [86] 11.9% ??? [3] 5.9% ??? [85] 3.0% ??? [84] 3.0% ---------------------------------------------------------------------- loop [54] 100.0% [67] 644(3.1%) 202(1.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [78] 34.5% curried [79] 34.2% ---------------------------------------------------------------------- merge-egraph-nodes! [56] 100.0% [68] 402(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [56] 100.0% ---------------------------------------------------------------------- mk-enode! [57] 100.0% [69] 400(1.9%) 400(1.9%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- loop [54] 100.0% [70] 222(1.1%) 222(1.1%) set-precompute! ...bie/src/core/simplify.rkt:160:0 ---------------------------------------------------------------------- merge-egraph-nodes! [56] 100.0% [71] 202(1.0%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [81] 100.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [72] 200(1.0%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [83] 100.0% ---------------------------------------------------------------------- loop [54] 28.0% ??? [61] 72.0% [73] 3890(18.9%) 3228(15.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [91] 17.0% ---------------------------------------------------------------------- ??? [61] 100.0% [74] 1622(7.9%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 55.2% ...higher-order.rkt:373:33 [90] 44.8% ---------------------------------------------------------------------- update-leader! [65] 100.0% [75] 1224(5.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [87] 100.0% ---------------------------------------------------------------------- loop! [63] 100.0% [76] 640(3.1%) 640(3.1%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- hash-ref! [66] 100.0% [77] 420(2.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [66] 100.0% ---------------------------------------------------------------------- for-loop [67] 100.0% [78] 222(1.1%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [92] 100.0% ---------------------------------------------------------------------- for-loop [67] 100.0% [79] 220(1.1%) 220(1.1%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------- ??? [61] 100.0% [80] 216(1.0%) 216(1.0%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- enode-merge! [71] 100.0% [81] 202(1.0%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [89] 100.0% ---------------------------------------------------------------------- list-cartesian-product [64] 100.0% [82] 200(1.0%) 200(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- foldl [72] 100.0% [83] 200(1.0%) 200(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- hash-ref! [66] 100.0% [84] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [93] 100.0% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [85] 200(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [66] 100.0% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [86] 200(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [66] 100.0% ---------------------------------------------------------------------- for-loop [75] 100.0% [87] 1224(5.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [94] 100.0% ---------------------------------------------------------------------- ??? [74] 100.0% [88] 896(4.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [96] 51.1% ??? [101] 48.9% ---------------------------------------------------------------------- adopt-enode! [81] 25.2% loop! [63] 74.8% [89] 800(3.9%) 400(1.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [97] 50.0% ---------------------------------------------------------------------- ??? [74] 100.0% [90] 726(3.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 100.0% ---------------------------------------------------------------------- real->bigfloat [73] 100.0% [91] 662(3.2%) 662(3.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- setfindf [78] 100.0% [92] 222(1.1%) 222(1.1%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ---------------------------------------------------------------------- ??? [84] 100.0% [93] 200(1.0%) 200(1.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 ---------------------------------------------------------------------- for-loop [87] 100.0% [94] 1224(5.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [99] 100.0% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [90]100.0% [95] 726(3.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ---------------------------------------------------------------------- ??? [88] 100.0% [96] 458(2.2%) 458(2.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ---------------------------------------------------------------------- custom-set-union [89] 100.0% [97] 400(1.9%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [100] 100.0% ---------------------------------------------------------------------- ??? [95] 45.8% ??? [61] 54.2% [98] 1586(7.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [101] 100.0% ---------------------------------------------------------------------- hash-update! [94] 100.0% [99] 1224(5.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [102] 100.0% ---------------------------------------------------------------------- for-loop [97] 100.0% [100] 400(1.9%) 400(1.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ??? [88] 21.6% ??? [98] 78.4% [101] 2024(9.8%) 1338(6.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [103] 33.9% ---------------------------------------------------------------------- ??? [99] 100.0% [102] 1224(5.9%) 1024(5.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [104] 16.3% ---------------------------------------------------------------------- ??? [101] 100.0% [103] 686(3.3%) 686(3.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 ---------------------------------------------------------------------- for-loop [102] 47.6% loop! [63] 52.4% [104] 420(2.0%) 420(2.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------