Profiling results ----------------- Total cpu time observed: 19896ms (out of 20040ms) Number of samples taken: 85 (once every 234ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [26] 100.0% [1] 19896(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ----------------------------------------------------------------------- ??? [26] 100.0% [2] 12220(61.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 93.1% get-final-combination [8] 6.9% ----------------------------------------------------------------------- loop [70] 7.6% ??? [26] 92.4% [3] 11048(55.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [6] 47.2% for-loop [7] 28.4% iterate-egraph!5 [10] 24.4% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 19896(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [26] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 11378(57.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [6] 5216(26.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [10] 87.3% loop [12] 12.7% ----------------------------------------------------------------------- simplify [3] 100.0% [7] 3140(15.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [10] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 842(4.2%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [11] 100.0% ----------------------------------------------------------------------- for-loop [5] 100.0% [9] 11378(57.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 89.7% finalize-iter! [16] 5.6% choose-best-alt! [18] 2.9% gen-series! [19] 1.8% ----------------------------------------------------------------------- simplify [3] 25.9% for-loop [7] 30.2% simplify-expr [6] 43.9% [10] 10388(52.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [14] 95.3% map-enodes [17] 4.7% ----------------------------------------------------------------------- get-final-combination [8] 100.0% [11] 842(4.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [70] 100.0% ----------------------------------------------------------------------- simplify-expr [6] 100.0% [12] 660(3.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [15] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [13] 10206(51.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [20] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [10] 100.0% [14] 9904(49.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [21] 54.3% loop [22] 39.7% apply-match [27] 6.1% ----------------------------------------------------------------------- loop [12] 100.0% [15] 660(3.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [24] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [16] 640(3.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [23] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [10] 100.0% [17] 484(2.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [70] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [18] 332(1.7%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [23] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [19] 200(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ----------------------------------------------------------------------- simplify! [13] 100.0% [20] 10206(51.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [26] 100.0% ----------------------------------------------------------------------- for-loop [21] 46.3% one-iter [14] 53.7% [21] 5374(27.0%) 2328(11.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [21] 46.3% match-e [34] 28.3% ----------------------------------------------------------------------- one-iter [14] 100.0% [22] 3930(19.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [27] 100.0% ----------------------------------------------------------------------- choose-best-alt! [18] 34.2% finalize-iter! [16] 65.8% [23] 972(4.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [28] 65.8% atab-pick-alt8 [30] 34.2% ----------------------------------------------------------------------- pass [15] 100.0% [24] 660(3.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [29] 69.7% for-loop [31] 30.3% ----------------------------------------------------------------------- gen-series! [19] 100.0% [25] 200(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ----------------------------------------------------------------------- for-loop [20] 17.1% run [4] 41.5% [26] 19896(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.5% run-improve58 [2] 22.2% loop [33] 19.3% simplify [3] 17.1% ----------------------------------------------------------------------- one-iter [14] 13.2% loop [22] 86.8% [27] 4530(22.8%) 200(1.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [44] 24.4% match-e [34] 19.5% mk-enode! [45] 15.0% loop! [66] 13.2% substitute-e [37] 9.7% update-leader! [57] 4.9% reduce-to-single! [39] 4.4% for-loop [41] 4.4% ----------------------------------------------------------------------- ??? [23] 100.0% [28] 640(3.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [35] 100.0% ----------------------------------------------------------------------- for-loop [24] 100.0% [29] 460(2.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [36] 100.0% ----------------------------------------------------------------------- ??? [23] 100.0% [30] 332(1.7%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [38] 100.0% ----------------------------------------------------------------------- for-loop [24] 100.0% [31] 200(1.0%) 200(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- for-loop [25] 100.0% [32] 200(1.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ----------------------------------------------------------------------- ??? [26] 100.0% [33] 7676(38.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [52] 58.5% loop [42] 41.5% ----------------------------------------------------------------------- for-loop [54] 10.7% apply-match [27] 17.4% for-loop [21] 71.9% [34] 3930(19.8%) 1682(8.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [43] 42.4% custom-in-set [47] 11.2% list-cartesian-product [55] 6.2% for-loop [54] 5.6% ----------------------------------------------------------------------- for-loop [28] 100.0% [35] 640(3.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 68.4% override-at-pnts [50] 31.6% ----------------------------------------------------------------------- argmin [29] 100.0% [36] 460(2.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [46] 100.0% ----------------------------------------------------------------------- apply-match [27] 100.0% [37] 440(2.2%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [45] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [30] 100.0% [38] 332(1.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [49] 100.0% ----------------------------------------------------------------------- apply-match [27] 100.0% [39] 200(1.0%) 200(1.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ----------------------------------------------------------------------- taylor-alt [32] 100.0% [40] 200(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [51] 100.0% ----------------------------------------------------------------------- apply-match [27] 100.0% [41] 200(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [44] 100.0% ----------------------------------------------------------------------- loop [33] 100.0% [42] 3182(16.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [53] 70.1% make-exacts* [52] 29.9% ----------------------------------------------------------------------- match-e [34] 100.0% [43] 1766(8.9%) 400(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 30.7% foldl [75] 24.9% loop [70] 13.7% list-cartesian-product [55] 13.7% ----------------------------------------------------------------------- for-loop [41] 15.3% apply-match [27] 84.7% [44] 1306(6.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [58] 30.8% enode-merge! [60] 20.2% update-leader! [57] 17.0% loop! [66] 16.7% for-loop [64] 15.3% ----------------------------------------------------------------------- substitute-e [37] 39.4% apply-match [27] 60.6% [45] 1118(5.6%) 660(3.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [56] 41.0% ----------------------------------------------------------------------- expression-cost [36] 100.0% [46] 460(2.3%) 240(1.2%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [61] 47.8% ----------------------------------------------------------------------- match-e [34] 100.0% [47] 440(2.2%) 440(2.2%) custom-in-set ...acket/private/set-types.rkt:578:0 ----------------------------------------------------------------------- atab-add-altn [35] 100.0% [48] 438(2.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [82] 50.2% for-loop [62] 49.8% ----------------------------------------------------------------------- ??? [38] 100.0% [49] 332(1.7%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [59] 100.0% ----------------------------------------------------------------------- atab-add-altn [35] 100.0% [50] 202(1.0%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [82] 100.0% ----------------------------------------------------------------------- for-loop [40] 100.0% [51] 200(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 simplify [63] 100.0% ----------------------------------------------------------------------- loop [42] 17.5% loop [33] 82.5% [52] 5444(27.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [65] 63.1% loop [70] 36.9% ----------------------------------------------------------------------- loop [42] 100.0% [53] 2232(11.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% ----------------------------------------------------------------------- match-e [34] 40.7% for-loop [43] 59.3% [54] 1082(5.4%) 242(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 77.6% ----------------------------------------------------------------------- list-cartesian-product [55] 25.0% for-loop [43] 25.0% match-e [34] 50.0% [55] 484(2.4%) 484(2.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [55] 25.0% ----------------------------------------------------------------------- mk-enode! [45] 100.0% [56] 458(2.3%) 242(1.2%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [71] 47.2% ----------------------------------------------------------------------- apply-match [27] 50.0% merge-egraph-nodes! [44] 50.0% [57] 444(2.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [67] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [58] 402(2.0%) 202(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [93] 49.8% ----------------------------------------------------------------------- best-alt [49] 100.0% [59] 332(1.7%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [76] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [60] 264(1.3%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [68] 100.0% ----------------------------------------------------------------------- compile [46] 33.3% ??? [69] 66.7% [61] 220(1.1%) 220(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [69] 66.7% ----------------------------------------------------------------------- best-and-tied-at-points [48] 100.0% [62] 218(1.1%) 218(1.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- location-do [51] 100.0% [63] 200(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f66 [74] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [64] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [66] 100.0% ----------------------------------------------------------------------- f66 [74] 3.4% loop [53] 38.0% make-exacts* [52] 58.5% [65] 5866(29.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [70] 96.6% f66 [74] 3.4% ----------------------------------------------------------------------- for-loop [64] 9.8% merge-egraph-nodes! [44] 10.7% loop [70] 30.4% apply-match [27] 49.1% [66] 1018(5.1%) 200(1.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [70] 40.2% set [71] 30.4% custom-set-union [73] 19.6% ----------------------------------------------------------------------- update-leader! [57] 100.0% [67] 444(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [72] 100.0% ----------------------------------------------------------------------- enode-merge! [60] 100.0% [68] 264(1.3%) 264(1.3%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ----------------------------------------------------------------------- hash-ref! [61] 100.0% [69] 220(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [61] 100.0% ----------------------------------------------------------------------- make-exacts* [52] 0.0% map [65] 0.3% map-enodes [17] 0.4% loop! [66] 0.9% for-loop [43] 1.2% extract-alt [11] 4.9% loop [70] 92.2% [70] 9862(49.6%) 434(2.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [70] 92.2% simplify [3] 4.9% foldl [75] 1.2% loop! [66] 0.9% ??? [92] 0.4% set-precompute! [78] 0.4% for-loop [79] 0.0% ----------------------------------------------------------------------- new-enode [56] 34.1% loop! [66] 65.9% [71] 634(3.2%) 634(3.2%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- for-loop [67] 100.0% [72] 444(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [77] 100.0% ----------------------------------------------------------------------- loop! [66] 100.0% [73] 200(1.0%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [80] 100.0% ----------------------------------------------------------------------- composed [76] 16.7% simplify [63] 16.7% append-map [81] 33.3% map [65] 33.3% [74] 200(1.0%) 0(0.0%) f66 ...t/collects/racket/match/compiler.rkt:499:40 append-map [81] 50.0% map [65] 33.3% composed [76] 16.7% ----------------------------------------------------------------------- loop [70] 35.5% for-loop [43] 64.5% [75] 682(3.4%) 240(1.2%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [84] 64.8% ----------------------------------------------------------------------- f66 [74] 37.6% argmins [59] 62.4% [76] 532(2.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [82] 62.4% f66 [74] 37.6% ----------------------------------------------------------------------- for-loop [72] 100.0% [77] 444(2.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [83] 100.0% ----------------------------------------------------------------------- loop [70] 100.0% [78] 242(1.2%) 242(1.2%) set-precompute! ...bie/src/core/simplify.rkt:160:0 ----------------------------------------------------------------------- loop [70] 100.0% [79] 242(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [85] 100.0% ----------------------------------------------------------------------- custom-set-union [73] 100.0% [80] 200(1.0%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [86] 100.0% ----------------------------------------------------------------------- f66 [74] 100.0% [81] 200(1.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 f66 [74] 66.7% free-variables [87] 33.3% ----------------------------------------------------------------------- override-at-pnts [50] 26.8% best-and-tied-at-points [48] 29.2% composed [76] 44.0% [82] 754(3.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [88] 73.2% for-loop [90] 26.8% ----------------------------------------------------------------------- hash-update! [77] 100.0% [83] 444(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [89] 100.0% ----------------------------------------------------------------------- foldl [75] 100.0% [84] 442(2.2%) 442(2.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- for-loop [79] 100.0% [85] 242(1.2%) 242(1.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- for-loop [80] 100.0% [86] 200(1.0%) 200(1.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- append-map [81] 100.0% [87] 200(1.0%) 0(0.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [91] 100.0% ----------------------------------------------------------------------- errors [82] 100.0% [88] 552(2.8%) 552(2.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- ??? [83] 100.0% [89] 444(2.2%) 222(1.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [93] 50.0% ----------------------------------------------------------------------- errors [82] 100.0% [90] 202(1.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [92] 100.0% ----------------------------------------------------------------------- free-variables [87] 100.0% [91] 200(1.0%) 200(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- for-loop [90] 2.6% loop [70] 97.4% [92] 7644(38.4%) 200(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [94] 88.5% real->bigfloat [95] 8.8% ----------------------------------------------------------------------- for-loop [58] 47.4% for-loop [89] 52.6% [93] 422(2.1%) 422(2.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- ??? [92] 100.0% [94] 6768(34.0%) 202(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [96] 82.5% ...higher-order.rkt:373:33 [97] 14.5% ----------------------------------------------------------------------- ??? [92] 100.0% [95] 676(3.4%) 676(3.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- ??? [94] 100.0% [96] 5584(28.1%) 2630(13.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqr [98] 31.0% bfdiv [100] 13.5% ??? [103] 8.3% ----------------------------------------------------------------------- ??? [94] 100.0% [97] 982(4.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [99] 100.0% ----------------------------------------------------------------------- ??? [96] 100.0% [98] 1732(8.7%) 1512(7.6%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [102] 12.7% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [97]100.0% [99] 982(4.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [101] 100.0% ----------------------------------------------------------------------- ??? [96] 100.0% [100] 756(3.8%) 756(3.8%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ----------------------------------------------------------------------- ??? [99] 100.0% [101] 982(4.9%) 228(1.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [103] 76.8% ----------------------------------------------------------------------- bfsqr [98] 100.0% [102] 220(1.1%) 220(1.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [96] 38.2% ??? [101] 61.8% [103] 1220(6.1%) 766(3.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [104] 37.2% ----------------------------------------------------------------------- ??? [103] 100.0% [104] 454(2.3%) 236(1.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [105] 48.0% ----------------------------------------------------------------------- ??? [104] 100.0% [105] 218(1.1%) 218(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------