Profiling results ----------------- Total cpu time observed: 61016ms (out of 61732ms) Number of samples taken: 265 (once every 230ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 103 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [35] 100.0% [1] 60372(98.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------------ ??? [35] 100.0% [2] 10506(17.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 82.6% loop [42] 15.3% get-final-combination [12] 2.1% ------------------------------------------------------------------------ loop [80] 3.1% ??? [35] 96.9% [3] 7062(11.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 41.0% iterate-egraph!5 [15] 35.5% for-loop [10] 17.4% loop [17] 6.1% ------------------------------------------------------------------------ loop [80] 100.0% [4] 486(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [69] 100.0% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [5] 464(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [6] 196(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [13] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 99.7% [7] 60574(99.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 8676(14.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 2896(4.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 86.1% loop [17] 7.0% debug-print [20] 6.9% ------------------------------------------------------------------------ simplify [3] 100.0% [10] 1226(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [11] 464(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [18] 57.8% hash-ref! [69] 42.2% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [12] 222(0.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [13] 196(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [16] 100.0% ------------------------------------------------------------------------ for-loop [8] 100.0% [14] 8676(14.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 78.8% localize-error [23] 8.2% gen-series! [24] 7.9% finalize-iter! [26] 5.1% ------------------------------------------------------------------------ for-loop [10] 19.7% simplify-expr [9] 40.1% simplify [3] 40.3% [15] 6226(10.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 96.8% map-enodes [27] 3.2% ------------------------------------------------------------------------ for-loop [13] 28.7% hash-ref! [69] 71.3% [16] 684(1.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [78] 71.3% f6 [72] 28.7% ------------------------------------------------------------------------ simplify-expr [9] 31.8% simplify [3] 68.2% [17] 636(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% ------------------------------------------------------------------------ for-loop [11] 100.0% [18] 268(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [69] 100.0% ------------------------------------------------------------------------ get-final-combination [12] 100.0% [19] 222(0.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% ------------------------------------------------------------------------ simplify-expr [9] 100.0% [20] 200(0.3%) 200(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ------------------------------------------------------------------------ run-iter! [14] 100.0% [21] 6840(11.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [15] 100.0% [22] 6026(9.9%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 61.8% loop [30] 30.9% apply-match [36] 7.3% ------------------------------------------------------------------------ run-iter! [14] 100.0% [23] 708(1.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [69] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [24] 684(1.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ------------------------------------------------------------------------ loop [17] 100.0% [25] 636(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [32] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [26] 444(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [33] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [15] 100.0% [27] 200(0.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [34] 100.0% ------------------------------------------------------------------------ simplify! [21] 100.0% [28] 6840(11.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 100.0% ------------------------------------------------------------------------ for-loop [29] 50.0% one-iter [22] 50.0% [29] 3722(6.1%) 202(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 50.0% match-e [43] 44.6% ??? [66] 2.7% ------------------------------------------------------------------------ one-iter [22] 100.0% [30] 1862(3.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% ------------------------------------------------------------------------ gen-series! [24] 100.0% [31] 684(1.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% ------------------------------------------------------------------------ pass [25] 100.0% [32] 636(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [39] 65.4% for-loop [40] 34.6% ------------------------------------------------------------------------ finalize-iter! [26] 100.0% [33] 444(0.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [38] 100.0% ------------------------------------------------------------------------ map-enodes [27] 100.0% [34] 200(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [41] 100.0% ------------------------------------------------------------------------ for-loop [28] 3.8% run [7] 48.0% [35] 61016(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.7% loop [42] 41.8% run-improve58 [2] 6.8% simplify [3] 3.8% ------------------------------------------------------------------------ one-iter [22] 19.2% loop [30] 80.8% [36] 2304(3.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [51] 35.6% for-loop [45] 28.0% loop! [84] 26.9% match-e [43] 9.5% ------------------------------------------------------------------------ for-loop [31] 100.0% [37] 684(1.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% ------------------------------------------------------------------------ ??? [33] 100.0% [38] 444(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [46] 100.0% ------------------------------------------------------------------------ for-loop [32] 100.0% [39] 416(0.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [47] 100.0% ------------------------------------------------------------------------ for-loop [32] 100.0% [40] 220(0.4%) 220(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------ for-loop [34] 100.0% [41] 200(0.3%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 bf* [48] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 3.1% ??? [35] 96.9% [42] 52118(85.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [56] 57.3% loop [49] 40.9% loop [57] 1.8% ------------------------------------------------------------------------ apply-match [36] 3.1% for-loop [58] 21.1% for-loop [29] 75.8% [43] 3540(5.8%) 1650(2.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [50] 46.4% for-loop [58] 7.6% list-cartesian-product [62] 6.3% constant? [55] 4.8% ------------------------------------------------------------------------ taylor-alt [37] 100.0% [44] 684(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [52] 100.0% ------------------------------------------------------------------------ apply-match [36] 100.0% [45] 644(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [84] 68.9% merge-egraph-nodes! [51] 31.1% ------------------------------------------------------------------------ for-loop [38] 100.0% [46] 444(0.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [53] 100.0% ------------------------------------------------------------------------ argmin [39] 100.0% [47] 416(0.7%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [54] 100.0% ------------------------------------------------------------------------ eval-const-expr [41] 100.0% [48] 200(0.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [89] 100.0% ------------------------------------------------------------------------ loop [42] 100.0% [49] 21340(35.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [57] 63.5% make-exacts* [56] 36.5% ------------------------------------------------------------------------ match-e [43] 100.0% [50] 2088(3.4%) 642(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [58] 53.8% loop [63] 10.6% list-cartesian-product [62] 4.8% ------------------------------------------------------------------------ for-loop [45] 19.6% apply-match [36] 80.4% [51] 1020(1.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [60] 59.0% loop! [84] 41.0% ------------------------------------------------------------------------ location-do [52] 38.5% for-loop [44] 61.5% [52] 684(1.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [59] 61.5% location-do [52] 38.5% ------------------------------------------------------------------------ atab-add-altn [46] 100.0% [53] 444(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 100.0% ------------------------------------------------------------------------ expression-cost [47] 100.0% [54] 416(0.7%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [69] 100.0% ------------------------------------------------------------------------ match-e [43] 100.0% [55] 404(0.7%) 404(0.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------ loop [49] 20.7% loop [42] 79.3% [56] 37642(61.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [77] 51.3% loop [80] 48.7% ------------------------------------------------------------------------ loop [42] 6.4% loop [49] 93.6% [57] 14476(23.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [77] 98.3% loop [80] 1.7% ------------------------------------------------------------------------ match-e [43] 30.9% for-loop [50] 69.1% [58] 1626(2.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [43] 87.7% ??? [66] 12.3% ------------------------------------------------------------------------ location-do [52] 100.0% [59] 684(1.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [64] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [51] 100.0% [60] 602(1.0%) 200(0.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [65] 66.8% ------------------------------------------------------------------------ best-and-tied-at-points [53] 100.0% [61] 444(0.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [67] 50.0% for-loop [68] 50.0% ------------------------------------------------------------------------ list-cartesian-product [62] 23.7% for-loop [50] 23.7% match-e [43] 52.6% [62] 422(0.7%) 422(0.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [62] 23.7% ------------------------------------------------------------------------ for-loop [50] 100.0% [63] 222(0.4%) 222(0.4%) loop ...e/racket/collects/racket/function.rkt:53:6 ------------------------------------------------------------------------ approximate9 [59] 100.0% [64] 684(1.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [69] 100.0% ------------------------------------------------------------------------ update-leader! [60] 100.0% [65] 402(0.7%) 200(0.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [70] 50.2% ------------------------------------------------------------------------ for-loop [58] 50.0% for-loop [29] 50.0% [66] 400(0.7%) 200(0.3%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [71] 50.0% ------------------------------------------------------------------------ errors [61] 100.0% [67] 222(0.4%) 222(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ errors [61] 100.0% [68] 222(0.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [83] 100.0% ------------------------------------------------------------------------ for-loop [11] 3.6% ??? [18] 3.7% ??? [75] 3.7% compile [54] 7.7% ??? [73] 13.4% loop [64] 13.4% ??? [74] 15.3% ??? [4] 17.9% localize-error [23] 21.2% [69] 1808(3.0%) 416(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f6 [72] 21.2% parse-loop12 [78] 17.9% ??? [74] 15.3% ??? [73] 13.4% simplify [16] 9.8% ??? [5] 7.3% ??? [75] 3.7% ??? [6] 3.6% ------------------------------------------------------------------------ for-loop [65] 100.0% [70] 202(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [76] 100.0% ------------------------------------------------------------------------ ??? [66] 100.0% [71] 200(0.3%) 200(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------ simplify [16] 16.7% parse-loop12 [78] 22.9% hash-ref! [69] 60.4% [72] 1172(1.9%) 196(0.3%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [77] 60.4% parse-loop12 [78] 22.9% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [73] 684(1.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [69] 100.0% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [74] 416(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [69] 100.0% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [75] 268(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [69] 100.0% ------------------------------------------------------------------------ for-loop [70] 100.0% [76] 202(0.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [79] 100.0% ------------------------------------------------------------------------ f6 [72] 2.1% loop [57] 41.5% make-exacts* [56] 56.4% [77] 34262(56.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 99.4% ??? [89] 0.6% ------------------------------------------------------------------------ f6 [72] 13.8% simplify [16] 36.3% hash-ref! [69] 49.9% [78] 974(1.6%) 268(0.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [80] 49.9% parse-app [81] 22.6% f6 [72] 13.8% ------------------------------------------------------------------------ hash-update! [76] 100.0% [79] 202(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [82] 100.0% ------------------------------------------------------------------------ parse-loop12 [78] 0.0% loop [57] 0.2% extract-alt [19] 0.2% make-exacts* [56] 0.5% loop! [84] 0.8% map [77] 1.0% loop [80] 97.4% [80] 53890(88.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 97.4% ??? [83] 1.6% loop! [84] 0.8% simplify [3] 0.2% ??? [4] 0.0% ??? [89] 0.0% ------------------------------------------------------------------------ parse-loop12 [78] 100.0% [81] 220(0.4%) 220(0.4%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ ??? [79] 100.0% [82] 202(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [86] 100.0% ------------------------------------------------------------------------ for-loop [68] 0.4% loop [80] 99.6% [83] 52098(85.4%) 238(0.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 98.2% ------------------------------------------------------------------------ for-loop [45] 15.0% apply-match [36] 20.9% merge-egraph-nodes! [51] 28.2% loop [80] 35.9% [84] 1482(2.4%) 242(0.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [80] 35.9% custom-set-union [88] 28.2% set [87] 14.2% update-en-expr [86] 13.5% ------------------------------------------------------------------------ ??? [83] 100.0% [85] 51182(83.9%) 222(0.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [89] 98.7% ...higher-order.rkt:373:33 [90] 0.8% ------------------------------------------------------------------------ for-loop [82] 33.6% loop! [84] 66.4% [86] 602(1.0%) 602(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ loop! [84] 100.0% [87] 422(0.7%) 422(0.7%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ loop! [84] 100.0% [88] 418(0.7%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [91] 100.0% ------------------------------------------------------------------------ bf* [48] 0.4% map [77] 0.4% loop [80] 0.9% ??? [85] 98.2% [89] 51444(84.3%) 47506(77.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [92] 4.5% ??? [98] 1.9% bfcbrt [93] 1.3% ------------------------------------------------------------------------ ??? [85] 100.0% [90] 424(0.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ------------------------------------------------------------------------ custom-set-union [88] 100.0% [91] 418(0.7%) 198(0.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [95] 52.6% ------------------------------------------------------------------------ ??? [89] 100.0% [92] 2296(3.8%) 1402(2.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 38.9% ------------------------------------------------------------------------ ??? [89] 100.0% [93] 672(1.1%) 434(0.7%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 35.4% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [90]100.0% [94] 424(0.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [97] 100.0% ------------------------------------------------------------------------ for-loop [91] 100.0% [95] 220(0.4%) 220(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------ bfcbrt [93] 21.0% bfmul [92] 79.0% [96] 1132(1.9%) 1132(1.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [94] 100.0% [97] 424(0.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ------------------------------------------------------------------------ ??? [97] 30.4% ??? [89] 69.6% [98] 1394(2.3%) 468(0.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 66.4% ------------------------------------------------------------------------ ??? [98] 100.0% [99] 926(1.5%) 440(0.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 52.5% ------------------------------------------------------------------------ ??? [99] 100.0% [100] 486(0.8%) 486(0.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------