Profiling results ----------------- Total cpu time observed: 28046ms (out of 28392ms) Number of samples taken: 121 (once every 232ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [20] 100.0% [1] 26892(95.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [20] 100.0% [2] 8966(32.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 90.6% loop [22] 5.0% get-final-combination [9] 2.2% setup-prog [10] 2.2% ---------------------------------------------------------------------- location-do [25] 100.0% [3] 412(1.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [7] 51.0% taylor-sqrt [8] 49.0% ---------------------------------------------------------------------- hash-ref! [33] 100.0% [4] 278(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [30] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 98.3% [5] 27354(97.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [20] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 8120(29.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% ---------------------------------------------------------------------- approximate9 [3] 100.0% [7] 210(0.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [33] 100.0% ---------------------------------------------------------------------- approximate9 [3] 100.0% [8] 202(0.7%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [45] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 200(0.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [12] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 194(0.7%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [13] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [11] 8120(29.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 81.7% finalize-iter! [15] 10.5% gen-series! [16] 5.1% choose-best-alt! [17] 2.7% ---------------------------------------------------------------------- get-final-combination [9] 100.0% [12] 200(0.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [30] 100.0% ---------------------------------------------------------------------- setup-prog [10] 100.0% [13] 194(0.7%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [32] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [14] 6638(23.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [15] 852(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [50] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [16] 412(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [19] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [17] 218(0.8%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [50] 100.0% ---------------------------------------------------------------------- simplify! [14] 100.0% [18] 6638(23.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [20] 100.0% ---------------------------------------------------------------------- gen-series! [16] 100.0% [19] 412(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [21] 100.0% ---------------------------------------------------------------------- for-loop [18] 8.0% run [5] 45.8% [20] 28046(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.1% loop [22] 35.3% run-improve58 [2] 12.5% simplify [32] 8.0% ---------------------------------------------------------------------- for-loop [19] 100.0% [21] 412(1.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [23] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.3% ??? [20] 97.7% [22] 19532(69.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [24] 50.3% make-exacts* [26] 26.2% loop [27] 23.4% ---------------------------------------------------------------------- taylor-alt [21] 100.0% [23] 412(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [25] 100.0% ---------------------------------------------------------------------- loop [22] 100.0% [24] 9828(35.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [26] 51.5% loop [27] 47.8% eval-prog [29] 0.6% ---------------------------------------------------------------------- for-loop [23] 26.5% location-do [25] 73.5% [25] 412(1.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [25] 73.5% approximate9 [3] 26.5% ---------------------------------------------------------------------- loop [24] 49.7% loop [22] 50.3% [26] 10192(36.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [28] 50.0% loop [30] 39.3% eval-prog [29] 10.6% ---------------------------------------------------------------------- loop [22] 49.3% loop [24] 50.7% [27] 9280(33.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [28] 100.0% ---------------------------------------------------------------------- f37 [52] 1.4% make-exacts* [26] 35.0% loop [27] 63.6% [28] 14590(52.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [30] 97.0% ??? [82] 1.5% f37 [52] 1.4% ---------------------------------------------------------------------- loop [24] 5.2% make-exacts* [26] 94.8% [29] 1144(4.1%) 60(0.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [31] 49.0% hash-ref! [33] 45.8% ---------------------------------------------------------------------- make-exacts* [26] 0.2% extract-alt [12] 1.1% ??? [4] 1.5% map [28] 3.7% loop [30] 93.6% [30] 18644(66.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [30] 93.6% ??? [82] 3.8% hash-ref! [33] 1.5% simplify [32] 1.1% ->flonum [55] 0.0% ---------------------------------------------------------------------- inductor [31] 50.0% eval-prog [29] 50.0% [31] 560(2.0%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [31] 50.0% integer->bigfloat [34] 50.0% ---------------------------------------------------------------------- simplify-alt [13] 2.8% loop [30] 2.8% ??? [20] 94.4% [32] 7032(25.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [40] 56.8% simplify-expr [35] 23.9% for-loop [36] 16.4% debug7 [47] 2.9% ---------------------------------------------------------------------- ??? [39] 14.3% loop [7] 14.3% loop [30] 30.3% eval-prog [29] 41.1% [33] 734(2.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [37] 41.1% ??? [4] 30.3% ??? [39] 14.3% ??? [38] 14.3% ---------------------------------------------------------------------- inductor [31] 100.0% [34] 560(2.0%) 560(2.0%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- simplify [32] 100.0% [35] 1680(6.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [40] 100.0% ---------------------------------------------------------------------- simplify [32] 100.0% [36] 1154(4.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [40] 100.0% ---------------------------------------------------------------------- hash-ref! [33] 100.0% [37] 524(1.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [41] 53.1% sig+exp->bigfloat [42] 46.9% ---------------------------------------------------------------------- hash-ref! [33] 100.0% [38] 210(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [43] 100.0% ---------------------------------------------------------------------- hash-ref! [33] 100.0% [39] 210(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [33] 100.0% ---------------------------------------------------------------------- for-loop [36] 16.9% simplify-expr [35] 24.6% simplify [32] 58.5% [40] 6830(24.4%) 202(0.7%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [44] 88.3% map-enodes [46] 5.9% debug7 [47] 2.9% ---------------------------------------------------------------------- bigfloat-hash [37] 100.0% [41] 278(1.0%) 278(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [37] 100.0% [42] 246(0.9%) 246(0.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [38] 100.0% [43] 210(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 simplify [45] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [40] 100.0% [44] 6030(21.5%) 442(1.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [48] 66.5% loop [49] 23.0% apply-match [54] 3.2% ---------------------------------------------------------------------- taylor-sqrt [8] 49.0% for-loop [43] 51.0% [45] 412(1.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [52] 51.0% parse-loop50 [53] 49.0% ---------------------------------------------------------------------- iterate-egraph!5 [40] 100.0% [46] 400(1.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [51] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [40] 49.5% simplify [32] 50.5% [47] 400(1.4%) 198(0.7%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [50] 50.5% ---------------------------------------------------------------------- for-loop [48] 50.0% one-iter [44] 50.0% [48] 4010(14.3%) 420(1.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [48] 50.0% match-e [59] 44.8% ---------------------------------------------------------------------- one-iter [44] 100.0% [49] 1384(4.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [54] 100.0% ---------------------------------------------------------------------- debug7 [47] 15.9% choose-best-alt! [17] 17.1% finalize-iter! [15] 67.0% [50] 1272(4.5%) 202(0.7%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [56] 67.0% atab-pick-alt8 [57] 17.1% ---------------------------------------------------------------------- map-enodes [46] 100.0% [51] 400(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 ->flonum [55] 50.0% compose [58] 50.0% ---------------------------------------------------------------------- simplify [45] 33.3% map [28] 66.7% [52] 210(0.7%) 210(0.7%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [28] 66.7% ---------------------------------------------------------------------- simplify [45] 100.0% [53] 202(0.7%) 202(0.7%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 ---------------------------------------------------------------------- one-iter [44] 12.3% loop [49] 87.7% [54] 1578(5.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [60] 55.5% match-e [59] 15.3% loop! [62] 15.3% update-leader! [65] 13.8% ---------------------------------------------------------------------- for-loop [51] 23.4% loop [30] 76.6% [55] 854(3.0%) 200(0.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [95] 50.8% ??? [63] 25.8% ---------------------------------------------------------------------- ??? [50] 100.0% [56] 852(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [61] 100.0% ---------------------------------------------------------------------- ??? [50] 100.0% [57] 218(0.8%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [64] 100.0% ---------------------------------------------------------------------- for-loop [51] 100.0% [58] 200(0.7%) 200(0.7%) compose ...collects/racket/private/list.rkt:385:12 ---------------------------------------------------------------------- apply-match [54] 6.3% for-loop [48] 93.7% [59] 3832(13.7%) 2332(8.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [66] 22.9% list-cartesian-product [73] 11.0% custom-in-set [70] 5.3% ---------------------------------------------------------------------- apply-match [54] 100.0% [60] 876(3.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [65] 77.9% enode-merge! [71] 22.1% ---------------------------------------------------------------------- for-loop [56] 100.0% [61] 852(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [67] 75.1% loop [69] 24.9% ---------------------------------------------------------------------- apply-match [54] 100.0% [62] 242(0.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 update-en-expr [87] 100.0% ---------------------------------------------------------------------- ->flonum [55] 100.0% [63] 220(0.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [96] 100.0% ---------------------------------------------------------------------- atab-pick-alt8 [57] 100.0% [64] 218(0.8%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [68] 100.0% ---------------------------------------------------------------------- apply-match [54] 24.2% merge-egraph-nodes! [60] 75.8% [65] 900(3.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [72] 75.8% update-en-expr [87] 24.2% ---------------------------------------------------------------------- match-e [59] 100.0% [66] 876(3.1%) 426(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [73] 27.6% for-loop [75] 23.7% ---------------------------------------------------------------------- atab-add-altn [61] 100.0% [67] 640(2.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [78] 100.0% ---------------------------------------------------------------------- ??? [64] 100.0% [68] 218(0.8%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [74] 100.0% ---------------------------------------------------------------------- atab-add-altn [61] 100.0% [69] 212(0.8%) 212(0.8%) loop ...cket/collects/racket/private/hash.rkt:20:4 ---------------------------------------------------------------------- match-e [59] 100.0% [70] 202(0.7%) 202(0.7%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- merge-egraph-nodes! [60] 100.0% [71] 194(0.7%) 194(0.7%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 ---------------------------------------------------------------------- update-leader! [65] 100.0% [72] 682(2.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [76] 100.0% ---------------------------------------------------------------------- for-loop [66] 18.2% list-cartesian-product [73] 33.4% match-e [59] 48.3% [73] 664(2.4%) 664(2.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [73] 33.4% ---------------------------------------------------------------------- best-alt [68] 100.0% [74] 218(0.8%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [77] 100.0% ---------------------------------------------------------------------- for-loop [66] 100.0% [75] 208(0.7%) 208(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ---------------------------------------------------------------------- for-loop [72] 100.0% [76] 682(2.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [79] 100.0% ---------------------------------------------------------------------- argmins [74] 100.0% [77] 218(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [78] 100.0% ---------------------------------------------------------------------- composed [77] 25.4% best-and-tied-at-points [67] 74.6% [78] 858(3.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [80] 100.0% ---------------------------------------------------------------------- for-loop [76] 100.0% [79] 682(2.4%) 242(0.9%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [81] 64.5% ---------------------------------------------------------------------- errors [78] 100.0% [80] 858(3.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [82] 76.5% ??? [84] 23.5% ---------------------------------------------------------------------- hash-update! [79] 100.0% [81] 440(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [83] 100.0% ---------------------------------------------------------------------- map [28] 1.2% for-loop [80] 3.6% loop [30] 95.2% [82] 18390(65.6%) 440(1.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 89.4% real->bigfloat [86] 6.9% ??? [94] 1.3% ---------------------------------------------------------------------- ??? [81] 100.0% [83] 440(1.6%) 222(0.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [87] 49.5% ---------------------------------------------------------------------- for-loop [80] 100.0% [84] 202(0.7%) 202(0.7%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- ??? [82] 100.0% [85] 16436(58.6%) 656(2.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 81.5% ...higher-order.rkt:373:33 [88] 10.4% bf* [89] 4.1% ---------------------------------------------------------------------- ??? [82] 100.0% [86] 1272(4.5%) 1272(4.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- update-leader! [65] 32.2% for-loop [83] 32.2% loop! [62] 35.7% [87] 678(2.4%) 678(2.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ??? [85] 100.0% [88] 1712(6.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 58.2% ??? [94] 41.8% ---------------------------------------------------------------------- ??? [85] 100.0% [89] 666(2.4%) 222(0.8%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 66.7% ---------------------------------------------------------------------- bf* [89] 3.2% ??? [85] 96.8% [90] 13846(49.4%) 5716(20.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfatan [92] 26.3% bfdiv [93] 16.9% ??? [95] 15.5% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [91] 996(3.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [92] 3636(13.0%) 3164(11.3%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 13.0% ---------------------------------------------------------------------- ??? [90] 100.0% [93] 2342(8.4%) 1874(6.7%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 20.0% ---------------------------------------------------------------------- ??? [82] 12.4% ...higher-order.rkt:373:33 [88] 36.6% ??? [91] 51.0% [94] 1954(7.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ---------------------------------------------------------------------- ->flonum [55] 9.6% ??? [94] 43.0% ??? [90] 47.4% [95] 4540(16.2%) 1688(6.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 57.9% ??? [98] 4.9% ---------------------------------------------------------------------- ??? [63] 19.0% bfdiv [93] 40.3% bfatan [92] 40.7% [96] 1160(4.1%) 1160(4.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [95] 100.0% [97] 2630(9.4%) 1138(4.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 56.7% ---------------------------------------------------------------------- ??? [95] 100.0% [98] 222(0.8%) 222(0.8%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ---------------------------------------------------------------------- ??? [97] 100.0% [99] 1492(5.3%) 1492(5.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------