Profiling results ----------------- Total cpu time observed: 11764ms (out of 13380ms) Number of samples taken: 53 (once every 222ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [42] 100.0% [1] 11324(96.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ------------------------------------------------------------------------ ??? [42] 100.0% [2] 5824(49.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 96.6% get-final-combination [19] 3.4% ------------------------------------------------------------------------ loop [81] 4.8% ??? [42] 95.2% [3] 4194(35.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 70.9% iterate-egraph!5 [22] 23.8% for-loop [16] 5.2% ------------------------------------------------------------------------ hash-ref! [87] 100.0% [4] 1006(8.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ------------------------------------------------------------------------ hash-ref! [87] 100.0% [5] 404(3.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [14] 100.0% ------------------------------------------------------------------------ hash-ref! [87] 100.0% [6] 402(3.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ------------------------------------------------------------------------ hash-ref! [87] 100.0% [7] 202(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [18] 100.0% ------------------------------------------------------------------------ hash-ref! [87] 100.0% [8] 202(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [17] 100.0% ------------------------------------------------------------------------ hash-ref! [87] 100.0% [9] 200(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [20] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [10] 11324(96.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [42] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 5624(47.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [21] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [12] 2974(25.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 92.5% loop [25] 7.5% ------------------------------------------------------------------------ ??? [4] 100.0% [13] 1006(8.6%) 200(1.7%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [87] 80.1% ------------------------------------------------------------------------ ??? [5] 100.0% [14] 404(3.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [24] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [15] 402(3.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [87] 50.2% ??? [27] 49.8% ------------------------------------------------------------------------ simplify [3] 100.0% [16] 220(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 100.0% ------------------------------------------------------------------------ ??? [8] 100.0% [17] 202(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop427 [77] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [18] 202(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [23] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [19] 200(1.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [26] 100.0% ------------------------------------------------------------------------ ??? [9] 100.0% [20] 200(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [87] 100.0% ------------------------------------------------------------------------ for-loop [11] 100.0% [21] 5624(47.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [28] 71.0% gen-series! [30] 21.4% finalize-iter! [33] 3.9% choose-best-alt! [34] 3.6% ------------------------------------------------------------------------ for-loop [16] 5.5% simplify [3] 25.2% simplify-expr [12] 69.3% [22] 3972(33.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [29] 100.0% ------------------------------------------------------------------------ for-loop [18] 20.1% hash-ref! [87] 79.9% [23] 1006(8.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f143 [31] 79.9% parse-loop427 [77] 20.1% ------------------------------------------------------------------------ for-loop [14] 100.0% [24] 404(3.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [87] 100.0% ------------------------------------------------------------------------ simplify-expr [12] 100.0% [25] 222(1.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [32] 100.0% ------------------------------------------------------------------------ get-final-combination [19] 100.0% [26] 200(1.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [81] 100.0% ------------------------------------------------------------------------ for-loop [15] 100.0% [27] 200(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [87] 100.0% ------------------------------------------------------------------------ run-iter! [21] 100.0% [28] 3994(34.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [35] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [22] 100.0% [29] 3972(33.8%) 200(1.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [36] 56.9% loop [38] 22.8% apply-match [43] 10.1% loop [41] 5.1% ------------------------------------------------------------------------ run-iter! [21] 100.0% [30] 1206(10.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [37] 100.0% ------------------------------------------------------------------------ map [73] 12.4% parse-loop427 [77] 25.0% simplify [23] 62.6% [31] 804(6.8%) 202(1.7%) f143 .../collects/racket/match/compiler.rkt:499:40 map [73] 62.4% gather-multiplicative-terms [80] 12.4% ------------------------------------------------------------------------ loop [25] 100.0% [32] 222(1.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [40] 100.0% ------------------------------------------------------------------------ run-iter! [21] 100.0% [33] 222(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [39] 100.0% ------------------------------------------------------------------------ run-iter! [21] 100.0% [34] 202(1.7%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [39] 100.0% ------------------------------------------------------------------------ simplify! [28] 100.0% [35] 3994(34.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [42] 100.0% ------------------------------------------------------------------------ for-loop [36] 45.6% one-iter [29] 54.4% [36] 2262(19.2%) 1002(8.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [36] 45.6% match-e [50] 23.4% ??? [48] 4.4% ------------------------------------------------------------------------ gen-series! [30] 100.0% [37] 1206(10.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [44] 100.0% ------------------------------------------------------------------------ one-iter [29] 100.0% [38] 906(7.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [43] 100.0% ------------------------------------------------------------------------ choose-best-alt! [34] 47.6% finalize-iter! [33] 52.4% [39] 424(3.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [46] 52.4% atab-pick-alt8 [47] 47.6% ------------------------------------------------------------------------ pass [32] 100.0% [40] 222(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [45] 100.0% ------------------------------------------------------------------------ one-iter [29] 100.0% [41] 202(1.7%) 202(1.7%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------ for-loop [35] 11.9% run [10] 43.1% [42] 11764(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.1% loop [49] 25.2% run-improve58 [2] 19.7% simplify [3] 11.9% ------------------------------------------------------------------------ one-iter [29] 30.7% loop [38] 69.3% [43] 1308(11.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [60] 32.3% mk-enode! [52] 18.5% for-loop [53] 18.5% match-e [50] 15.4% loop! [56] 15.3% ------------------------------------------------------------------------ for-loop [37] 100.0% [44] 1206(10.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [51] 100.0% ------------------------------------------------------------------------ for-loop [40] 100.0% [45] 222(1.9%) 222(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------ ??? [39] 100.0% [46] 222(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [54] 100.0% ------------------------------------------------------------------------ ??? [39] 100.0% [47] 202(1.7%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [55] 100.0% ------------------------------------------------------------------------ for-loop [36] 100.0% [48] 200(1.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [57] 100.0% ------------------------------------------------------------------------ ??? [42] 100.0% [49] 5940(50.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [65] 53.7% loop [58] 46.3% ------------------------------------------------------------------------ for-loop [68] 8.7% apply-match [43] 16.0% for-loop [36] 75.3% [50] 1262(10.7%) 822(7.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [61] 34.9% for-loop [68] 8.7% ------------------------------------------------------------------------ taylor-alt [44] 100.0% [51] 1206(10.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [59] 100.0% ------------------------------------------------------------------------ apply-match [43] 100.0% [52] 242(2.1%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [62] 100.0% ------------------------------------------------------------------------ apply-match [43] 100.0% [53] 242(2.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [60] 100.0% ------------------------------------------------------------------------ for-loop [46] 100.0% [54] 222(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [63] 100.0% ------------------------------------------------------------------------ atab-pick-alt8 [47] 100.0% [55] 202(1.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [64] 100.0% ------------------------------------------------------------------------ apply-match [43] 100.0% [56] 200(1.7%) 200(1.7%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 ------------------------------------------------------------------------ ??? [48] 100.0% [57] 200(1.7%) 200(1.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------ loop [49] 100.0% [58] 2750(23.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [66] 50.2% make-exacts* [65] 41.4% eval-prog [82] 8.4% ------------------------------------------------------------------------ for-loop [51] 46.3% location-do [59] 53.7% [59] 1206(10.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [59] 53.7% approximate9 [67] 46.3% ------------------------------------------------------------------------ for-loop [53] 36.4% apply-match [43] 63.6% [60] 664(5.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [69] 63.6% enode-merge! [70] 36.4% ------------------------------------------------------------------------ match-e [50] 100.0% [61] 440(3.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [71] 50.0% for-loop [68] 50.0% ------------------------------------------------------------------------ mk-enode! [52] 100.0% [62] 242(2.1%) 242(2.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------ atab-add-altn [54] 100.0% [63] 222(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [78] 100.0% ------------------------------------------------------------------------ ??? [55] 100.0% [64] 202(1.7%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [72] 100.0% ------------------------------------------------------------------------ loop [58] 26.3% loop [49] 73.7% [65] 4328(36.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [81] 60.5% map [73] 39.5% ------------------------------------------------------------------------ loop [58] 100.0% [66] 1380(11.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [73] 100.0% ------------------------------------------------------------------------ location-do [59] 100.0% [67] 1206(10.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [74] 100.0% ------------------------------------------------------------------------ for-loop [61] 50.0% match-e [50] 50.0% [68] 440(3.7%) 220(1.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [50] 50.0% ------------------------------------------------------------------------ merge-egraph-nodes! [60] 100.0% [69] 422(3.6%) 422(3.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ------------------------------------------------------------------------ merge-egraph-nodes! [60] 100.0% [70] 242(2.1%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [75] 100.0% ------------------------------------------------------------------------ list-cartesian-product [71] 50.0% for-loop [61] 50.0% [71] 220(1.9%) 220(1.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [71] 50.0% ------------------------------------------------------------------------ best-alt [64] 100.0% [72] 202(1.7%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [76] 100.0% ------------------------------------------------------------------------ gather-multiplicative-terms [80] 2.7% f143 [31] 13.6% loop [66] 37.4% make-exacts* [65] 46.3% [73] 3690(31.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 83.7% parse-loop427 [77] 10.9% f143 [31] 2.7% gather-multiplicative-terms [80] 2.7% ------------------------------------------------------------------------ approximate9 [67] 100.0% [74] 1206(10.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [87] 100.0% ------------------------------------------------------------------------ enode-merge! [70] 100.0% [75] 242(2.1%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [79] 100.0% ------------------------------------------------------------------------ argmins [72] 100.0% [76] 202(1.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [78] 100.0% ------------------------------------------------------------------------ loop [81] 8.4% parse-loop427 [77] 8.4% simplify [23] 8.4% for-loop [17] 25.1% map [73] 49.9% [77] 806(6.9%) 604(5.1%) parse-loop427 .../racket/match/compiler.rkt:410:15 for-loop [84] 25.1% f143 [31] 24.9% parse-loop427 [77] 8.4% loop [81] 8.4% ------------------------------------------------------------------------ composed [76] 47.6% best-and-tied-at-points [63] 52.4% [78] 424(3.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [83] 52.4% eval-prog [82] 47.6% ------------------------------------------------------------------------ adopt-enode! [75] 100.0% [79] 242(2.1%) 242(2.1%) custom-set-union ...et/private/set-types.rkt:168:0 ------------------------------------------------------------------------ map [73] 50.0% f143 [31] 50.0% [80] 200(1.7%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [73] 50.0% compose [85] 50.0% ------------------------------------------------------------------------ map [73] 0.1% make-exacts* [65] 0.2% extract-alt [26] 3.3% parse-loop427 [77] 3.3% loop [81] 93.1% [81] 6110(51.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 93.1% parse-loop427 [77] 3.3% simplify [3] 3.3% ??? [86] 0.3% ------------------------------------------------------------------------ errors [78] 46.5% loop [58] 53.5% [82] 434(3.7%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [88] 100.0% ------------------------------------------------------------------------ errors [78] 100.0% [83] 222(1.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [86] 100.0% ------------------------------------------------------------------------ parse-loop427 [77] 100.0% [84] 202(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [87] 100.0% ------------------------------------------------------------------------ gather-multiplicative-terms [80]100.0% [85] 200(1.7%) 200(1.7%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------ for-loop [83] 3.7% loop [81] 96.3% [86] 5930(50.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [89] 54.2% real->bigfloat [90] 24.7% ??? [98] 21.2% ------------------------------------------------------------------------ for-loop [84] 2.4% for-loop [15] 2.8% ??? [27] 4.1% for-loop [20] 4.1% for-loop [24] 6.6% ??? [92] 10.7% for-loop [13] 20.1% ??? [91] 24.6% loop [74] 24.6% [87] 1206(10.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [91] 24.6% ??? [4] 24.2% simplify [23] 18.0% ??? [92] 10.7% ??? [6] 6.9% ??? [5] 6.6% ??? [9] 4.1% ??? [8] 2.4% ??? [7] 2.4% ------------------------------------------------------------------------ inductor [88] 31.0% eval-prog [82] 69.0% [88] 434(3.7%) 434(3.7%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [88] 31.0% ------------------------------------------------------------------------ ??? [86] 100.0% [89] 3212(27.3%) 222(1.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 86.2% ...higher-order.rkt:373:33 [94] 6.9% ------------------------------------------------------------------------ ??? [86] 100.0% [90] 1462(12.4%) 1220(10.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 16.6% ------------------------------------------------------------------------ hash-ref! [87] 100.0% [91] 1206(10.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [87] 100.0% ------------------------------------------------------------------------ hash-ref! [87] 100.0% [92] 604(5.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [87] 100.0% ------------------------------------------------------------------------ ??? [89] 100.0% [93] 2768(23.5%) 462(3.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfcot [95] 41.8% ??? [100] 32.0% bfsub [96] 9.5% ------------------------------------------------------------------------ ??? [89] 100.0% [94] 222(1.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [97] 100.0% ------------------------------------------------------------------------ ??? [93] 100.0% [95] 1158(9.8%) 240(2.0%) bfcot ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 79.3% ------------------------------------------------------------------------ ??? [93] 100.0% [96] 262(2.2%) 262(2.2%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [94] 100.0% [97] 222(1.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ------------------------------------------------------------------------ ??? [97] 15.0% ??? [86] 85.0% [98] 1478(12.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ------------------------------------------------------------------------ real->bigfloat [90] 20.9% bfcot [95] 79.1% [99] 1160(9.9%) 1160(9.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [93] 37.5% ??? [98] 62.5% [100] 2364(20.1%) 696(5.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 61.2% ??? [102] 9.4% ------------------------------------------------------------------------ ??? [100] 100.0% [101] 1446(12.3%) 500(4.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [103] 65.4% ------------------------------------------------------------------------ ??? [100] 100.0% [102] 222(1.9%) 222(1.9%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------ ??? [101] 100.0% [103] 946(8.0%) 946(8.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------