Profiling results ----------------- Total cpu time observed: 15390ms (out of 15708ms) Number of samples taken: 71 (once every 217ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [32] 100.0% [1] 14576(94.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------- ??? [32] 100.0% [2] 10172(66.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 76.8% finalize-table! [9] 19.2% get-final-combination [11] 2.0% loop [37] 2.0% ---------------------------------------------------------------------- loop [80] 2.8% ??? [32] 97.2% [3] 7210(46.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 70.7% iterate-egraph!5 [13] 26.5% for-loop [12] 2.8% ---------------------------------------------------------------------- loop [80] 100.0% [4] 1096(7.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [8] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [5] 210(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [10] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 98.6% [6] 14778(96.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 7812(50.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [4] 17.7% simplify [3] 82.3% [8] 6196(40.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1958(12.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [10] 210(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [68] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 202(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 200(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 100.0% ---------------------------------------------------------------------- for-loop [12] 2.4% simplify [3] 23.0% simplify-expr [8] 74.6% [13] 8306(54.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 97.6% map-enodes [22] 2.4% ---------------------------------------------------------------------- for-loop [7] 100.0% [14] 7812(50.8%) 202(1.3%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 89.7% finalize-iter! [20] 5.1% gen-series! [23] 2.6% ---------------------------------------------------------------------- finalize-table! [9] 100.0% [15] 1958(12.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [80] 56.0% for-loop [19] 21.5% ??? [27] 11.3% localize-error [21] 11.2% ---------------------------------------------------------------------- get-final-combination [11] 100.0% [16] 202(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [17] 8106(52.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 64.5% loop [26] 27.8% apply-match [33] 5.2% loop [29] 2.5% ---------------------------------------------------------------------- run-iter! [14] 100.0% [18] 7008(45.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ---------------------------------------------------------------------- post-process [15] 100.0% [19] 420(2.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [28] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [20] 402(2.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ---------------------------------------------------------------------- post-process [15] 100.0% [21] 220(1.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [68] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [22] 200(1.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 hash-keys [30] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [23] 200(1.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ---------------------------------------------------------------------- simplify! [18] 100.0% [24] 7008(45.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ---------------------------------------------------------------------- for-loop [25] 50.0% one-iter [17] 50.0% [25] 5226(34.0%) 1026(6.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 50.0% match-e [38] 40.2% ---------------------------------------------------------------------- one-iter [17] 100.0% [26] 2256(14.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ---------------------------------------------------------------------- post-process [15] 35.6% finalize-iter! [20] 64.4% [27] 624(4.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% ---------------------------------------------------------------------- for-loop [19] 100.0% [28] 420(2.7%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [35] 100.0% ---------------------------------------------------------------------- one-iter [17] 100.0% [29] 202(1.3%) 202(1.3%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- map-enodes [22] 100.0% [30] 200(1.3%) 0(0.0%) hash-keys .../collects/racket/private/hash.rkt:2:2 loop [36] 100.0% ---------------------------------------------------------------------- gen-series! [23] 100.0% [31] 200(1.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ---------------------------------------------------------------------- for-loop [24] 15.8% run [6] 42.1% [32] 15180(98.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.8% run-improve58 [2] 26.9% loop [37] 16.5% simplify [3] 15.8% ---------------------------------------------------------------------- one-iter [17] 15.8% loop [26] 84.2% [33] 2678(17.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [38] 30.2% merge-egraph-nodes! [45] 30.1% for-loop [41] 14.9% update-leader! [53] 9.0% substitute-e [42] 8.2% loop! [56] 7.5% ---------------------------------------------------------------------- ??? [27] 100.0% [34] 624(4.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ---------------------------------------------------------------------- for-loop [31] 32.3% append-map [28] 67.7% [35] 620(4.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ---------------------------------------------------------------------- hash-keys [30] 100.0% [36] 200(1.3%) 200(1.3%) loop ...acket/collects/racket/private/hash.rkt:3:4 ---------------------------------------------------------------------- run-improve58 [2] 3.8% ??? [32] 96.2% [37] 5208(33.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [50] 56.3% loop [44] 39.8% loop [52] 3.8% ---------------------------------------------------------------------- for-loop [51] 10.6% apply-match [33] 16.1% for-loop [25] 73.2% [38] 5008(32.5%) 2530(16.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [43] 47.5% list-cartesian-product [49] 4.0% for-loop [51] 2.2% ---------------------------------------------------------------------- for-loop [34] 100.0% [39] 624(4.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [46] 100.0% ---------------------------------------------------------------------- taylor-alt [35] 100.0% [40] 620(4.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ---------------------------------------------------------------------- apply-match [33] 100.0% [41] 400(2.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [56] 50.0% merge-egraph-nodes! [45] 50.0% ---------------------------------------------------------------------- apply-match [33] 100.0% [42] 220(1.4%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [48] 100.0% ---------------------------------------------------------------------- match-e [38] 100.0% [43] 2478(16.1%) 826(5.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [51] 46.4% loop [57] 8.2% curried [60] 8.1% loop [80] 4.4% curry* [58] 4.1% ---------------------------------------------------------------------- loop [37] 100.0% [44] 2074(13.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 67.6% make-exacts* [50] 32.4% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 10.0% for-loop [41] 19.9% apply-match [33] 70.1% [45] 1006(6.5%) 200(1.3%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [53] 40.0% enode-merge! [59] 20.1% merge-egraph-nodes! [45] 10.0% loop! [56] 10.0% ---------------------------------------------------------------------- atab-add-altn [39] 100.0% [46] 624(4.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [54] 100.0% ---------------------------------------------------------------------- location-do [47] 42.3% for-loop [40] 57.7% [47] 620(4.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 57.7% location-do [47] 42.3% ---------------------------------------------------------------------- substitute-e [42] 100.0% [48] 220(1.4%) 220(1.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- match-e [38] 100.0% [49] 202(1.3%) 202(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- loop [44] 18.6% loop [37] 81.4% [50] 3606(23.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [80] 54.2% map [78] 45.8% ---------------------------------------------------------------------- match-e [38] 13.0% for-loop [43] 87.0% [51] 1692(11.0%) 202(1.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 63.0% ??? [63] 25.1% ---------------------------------------------------------------------- loop [37] 12.5% loop [44] 87.5% [52] 1602(10.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% ---------------------------------------------------------------------- apply-match [33] 37.6% merge-egraph-nodes! [45] 62.4% [53] 644(4.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [61] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [46] 100.0% [54] 624(4.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [62] 100.0% ---------------------------------------------------------------------- location-do [47] 100.0% [55] 620(4.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [64] 66.1% f16 [75] 33.9% ---------------------------------------------------------------------- for-loop [41] 33.1% merge-egraph-nodes! [45] 33.4% apply-match [33] 33.4% [56] 604(3.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [66] 100.0% ---------------------------------------------------------------------- for-loop [43] 100.0% [57] 202(1.3%) 202(1.3%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- for-loop [43] 100.0% [58] 202(1.3%) 202(1.3%) curry* ...racket/collects/racket/function.rkt:44:2 ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [59] 202(1.3%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [65] 100.0% ---------------------------------------------------------------------- for-loop [43] 100.0% [60] 200(1.3%) 200(1.3%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------- update-leader! [53] 100.0% [61] 644(4.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 100.0% ---------------------------------------------------------------------- errors [54] 100.0% [62] 624(4.1%) 624(4.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------- for-loop [51] 100.0% [63] 424(2.8%) 202(1.3%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [69] 52.4% ---------------------------------------------------------------------- approximate9 [55] 100.0% [64] 410(2.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ---------------------------------------------------------------------- enode-merge! [59] 100.0% [65] 202(1.3%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [66] 100.0% ---------------------------------------------------------------------- adopt-enode! [65] 25.1% loop! [56] 74.9% [66] 806(5.2%) 604(3.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [74] 25.1% ---------------------------------------------------------------------- for-loop [61] 100.0% [67] 644(4.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [70] 100.0% ---------------------------------------------------------------------- for-loop [10] 8.3% ??? [73] 18.9% ??? [72] 18.9% loop [64] 18.9% localize-error [21] 34.9% [68] 630(4.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f16 [75] 34.9% ??? [72] 18.9% ??? [73] 18.9% simplify [71] 18.9% ??? [5] 8.3% ---------------------------------------------------------------------- ??? [63] 100.0% [69] 222(1.4%) 222(1.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- for-loop [67] 100.0% [70] 644(4.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [76] 100.0% ---------------------------------------------------------------------- first-nonzero-exp [85] 33.9% hash-ref! [68] 66.1% [71] 620(4.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [75] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [72] 410(2.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [68] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [73] 410(2.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ---------------------------------------------------------------------- custom-set-union [66] 100.0% [74] 202(1.3%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [77] 100.0% ---------------------------------------------------------------------- approximate9 [55] 6.2% f16 [75] 12.5% map [78] 15.9% hash-ref! [68] 26.2% simplify [71] 39.2% [75] 840(5.5%) 430(2.8%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [78] 55.1% f16 [75] 12.5% ---------------------------------------------------------------------- hash-update! [70] 100.0% [76] 644(4.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [79] 100.0% ---------------------------------------------------------------------- for-loop [74] 100.0% [77] 202(1.3%) 202(1.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- f16 [75] 16.0% loop [52] 41.4% make-exacts* [50] 42.6% [78] 3872(25.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 79.1% parse-loop50 [81] 5.4% taylor-invert [82] 5.4% ??? [84] 4.9% f16 [75] 3.4% make-multiplication-node [83] 1.7% ---------------------------------------------------------------------- ??? [76] 100.0% [79] 644(4.2%) 644(4.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- make-exacts* [50] 0.1% extract-alt [16] 1.6% for-loop [43] 1.7% post-process [15] 3.8% map [78] 3.9% loop [80] 88.9% [80] 6318(41.1%) 220(1.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 88.9% ??? [84] 4.0% completely-simplify-alt [4] 3.8% simplify [3] 1.6% ---------------------------------------------------------------------- map [78] 100.0% [81] 210(1.4%) 210(1.4%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 ---------------------------------------------------------------------- map [78] 100.0% [82] 210(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [85] 100.0% ---------------------------------------------------------------------- map [78] 100.0% [83] 200(1.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [86]100.0% ---------------------------------------------------------------------- map [78] 3.6% loop [80] 96.4% [84] 5208(33.8%) 942(6.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [87] 53.0% ??? [88] 19.2% ??? [94] 9.7% ---------------------------------------------------------------------- taylor-invert [82] 100.0% [85] 210(1.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [71] 100.0% ---------------------------------------------------------------------- make-multiplication-node [83] 100.0% [86] 200(1.3%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [89] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [87] 2760(17.9%) 2288(14.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 17.1% ---------------------------------------------------------------------- ??? [84] 100.0% [88] 1002(6.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [90] 51.7% ...higher-order.rkt:373:33 [91] 24.8% ??? [92] 23.6% ---------------------------------------------------------------------- make-multiplication-subnode [86]100.0% [89] 200(1.3%) 200(1.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ---------------------------------------------------------------------- ??? [88] 100.0% [90] 518(3.4%) 270(1.8%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 47.9% ---------------------------------------------------------------------- ??? [88] 100.0% [91] 248(1.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ---------------------------------------------------------------------- ??? [88] 48.8% bf* [90] 51.2% [92] 484(3.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [95] 100.0% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [91] 100.0% [93] 248(1.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ---------------------------------------------------------------------- ??? [93] 33.0% ??? [84] 67.0% [94] 752(4.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ---------------------------------------------------------------------- ??? [92] 100.0% [95] 484(3.1%) 248(1.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 48.8% ---------------------------------------------------------------------- ??? [94] 100.0% [96] 752(4.9%) 502(3.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 33.2% ---------------------------------------------------------------------- bfmul [95] 33.3% real->bigfloat [87] 66.7% [97] 708(4.6%) 708(4.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [96] 100.0% [98] 250(1.6%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 100.0% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 250(1.6%) 250(1.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------