Profiling results ----------------- Total cpu time observed: 24270ms (out of 24776ms) Number of samples taken: 98 (once every 248ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 93 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [41] 100.0% [1] 22316(91.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% --------------------------------------------------------------------- ??? [41] 100.0% [2] 6732(27.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [13] 63.2% loop [12] 33.5% get-final-combination [18] 3.3% --------------------------------------------------------------------- ??? [41] 100.0% [3] 2754(11.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [22] 70.1% simplify-expr [17] 22.7% for-loop [19] 7.3% --------------------------------------------------------------------- hash-ref! [63] 100.0% [4] 2172(8.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [54] 100.0% --------------------------------------------------------------------- hash-ref! [63] 100.0% [5] 660(2.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% --------------------------------------------------------------------- hash-ref! [63] 100.0% [6] 660(2.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [71] 100.0% --------------------------------------------------------------------- location-do [49] 100.0% [7] 660(2.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [15] 100.0% --------------------------------------------------------------------- hash-ref! [63] 100.0% [8] 660(2.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [16] 100.0% --------------------------------------------------------------------- hash-ref! [63] 50.0% parse-loop12 [71] 50.0% [9] 440(1.8%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [34] 100.0% --------------------------------------------------------------------- loop [54] 100.0% [10] 220(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [63] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [11] 22316(91.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [41] 100.0% --------------------------------------------------------------------- run-improve58 [2] 11.7% ??? [41] 88.3% [12] 19356(79.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [20] 50.7% make-exacts* [25] 26.4% loop [26] 22.9% --------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 4256(17.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [21] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [14] 660(2.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [63] 100.0% --------------------------------------------------------------------- approximate9 [7] 100.0% [15] 660(2.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [63] 100.0% --------------------------------------------------------------------- ??? [8] 100.0% [16] 660(2.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [23] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [17] 624(2.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 220(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [24] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [19] 200(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 100.0% --------------------------------------------------------------------- loop [12] 100.0% [20] 9818(40.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [26] 42.4% make-exacts* [25] 40.5% eval-prog [58] 17.1% --------------------------------------------------------------------- for-loop [13] 100.0% [21] 4256(17.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [27] 64.7% gen-series! [29] 15.5% localize-error [30] 10.3% finalize-iter! [31] 9.4% --------------------------------------------------------------------- for-loop [19] 7.3% simplify-expr [17] 22.7% simplify [3] 70.1% [22] 2754(11.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [28] 92.0% map-enodes [33] 8.0% --------------------------------------------------------------------- for-loop [16] 100.0% [23] 660(2.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [63] 100.0% --------------------------------------------------------------------- get-final-combination [18] 100.0% [24] 220(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [32] 100.0% --------------------------------------------------------------------- loop [20] 43.8% loop [12] 56.2% [25] 9084(37.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [34] 43.8% loop [54] 39.4% eval-prog [58] 16.8% --------------------------------------------------------------------- loop [20] 48.4% loop [12] 51.6% [26] 8596(35.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [34] 97.3% loop [54] 2.7% --------------------------------------------------------------------- run-iter! [21] 100.0% [27] 2754(11.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [35] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [28] 2534(10.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [36] 57.2% loop [37] 34.9% apply-match [42] 7.9% --------------------------------------------------------------------- run-iter! [21] 100.0% [29] 660(2.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [38] 100.0% --------------------------------------------------------------------- run-iter! [21] 100.0% [30] 440(1.8%) 220(0.9%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [63] 50.0% --------------------------------------------------------------------- run-iter! [21] 100.0% [31] 402(1.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [39] 100.0% --------------------------------------------------------------------- extract-alt [24] 100.0% [32] 220(0.9%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [40] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [33] 220(0.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [54] 100.0% --------------------------------------------------------------------- f6 [9] 3.4% make-exacts* [25] 31.1% loop [26] 65.4% [34] 12778(52.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [54] 96.7% parse-loop12 [71] 1.7% ??? [62] 1.5% --------------------------------------------------------------------- simplify! [27] 100.0% [35] 2754(11.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [41] 100.0% --------------------------------------------------------------------- for-loop [36] 50.0% one-iter [28] 50.0% [36] 1450(6.0%) 646(2.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [36] 50.0% match-e [45] 27.7% --------------------------------------------------------------------- one-iter [28] 100.0% [37] 884(3.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [42] 100.0% --------------------------------------------------------------------- gen-series! [29] 100.0% [38] 660(2.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [43] 100.0% --------------------------------------------------------------------- finalize-iter! [31] 100.0% [39] 402(1.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [44] 100.0% --------------------------------------------------------------------- argmins [32] 100.0% [40] 220(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [55] 100.0% --------------------------------------------------------------------- for-loop [35] 4.0% run [11] 45.1% [41] 23832(98.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.1% loop [12] 37.6% run-improve58 [2] 13.3% simplify [3] 4.0% --------------------------------------------------------------------- one-iter [28] 18.5% loop [37] 81.5% [42] 1084(4.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [45] 59.2% merge-egraph-nodes! [47] 40.8% --------------------------------------------------------------------- for-loop [38] 100.0% [43] 660(2.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [46] 100.0% --------------------------------------------------------------------- ??? [39] 100.0% [44] 402(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [48] 100.0% --------------------------------------------------------------------- for-loop [57] 6.9% apply-match [42] 37.5% for-loop [36] 55.6% [45] 1446(6.0%) 602(2.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [50] 37.5% constant? [52] 14.0% for-loop [57] 6.9% --------------------------------------------------------------------- taylor-alt [43] 100.0% [46] 660(2.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [47] 27.4% apply-match [42] 72.6% [47] 442(1.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [53] 45.2% merge-egraph-nodes! [47] 27.4% loop! [61] 27.4% --------------------------------------------------------------------- for-loop [44] 100.0% [48] 402(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51] 100.0% --------------------------------------------------------------------- for-loop [46] 33.3% location-do [49] 66.7% [49] 660(2.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [49] 66.7% approximate9 [7] 33.3% --------------------------------------------------------------------- match-e [45] 100.0% [50] 642(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [56] 34.6% loop [54] 34.3% for-loop [57] 31.2% --------------------------------------------------------------------- atab-add-altn [48] 100.0% [51] 402(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 100.0% --------------------------------------------------------------------- match-e [45] 100.0% [52] 202(0.8%) 202(0.8%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- merge-egraph-nodes! [47] 100.0% [53] 200(0.8%) 200(0.8%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 --------------------------------------------------------------------- parse-loop12 [71] 0.1% loop [26] 0.1% map-enodes [33] 0.4% loop! [61] 0.6% make-exacts* [25] 0.7% for-loop [50] 1.2% map [34] 3.3% ??? [4] 11.4% loop [54] 82.3% [54] 19030(78.4%) 220(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [54] 82.3% hash-ref! [63] 11.4% ??? [62] 3.9% loop! [61] 0.6% ->flonum [59] 0.2% ??? [10] 0.1% ??? [84] 0.1% --------------------------------------------------------------------- composed [40] 35.4% best-and-tied-at-points [51] 64.6% [55] 622(2.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [60] 64.6% eval-prog [58] 35.4% --------------------------------------------------------------------- for-loop [50] 100.0% [56] 222(0.9%) 222(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 --------------------------------------------------------------------- match-e [45] 50.0% for-loop [50] 50.0% [57] 200(0.8%) 200(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 50.0% --------------------------------------------------------------------- errors [55] 6.4% make-exacts* [25] 44.6% loop [20] 49.0% [58] 3422(14.1%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [63] 87.1% inductor [67] 6.4% ??? [66] 6.4% --------------------------------------------------------------------- loop [54] 100.0% [59] 840(3.5%) 198(0.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 48.8% ??? [65] 27.6% --------------------------------------------------------------------- errors [55] 100.0% [60] 402(1.7%) 202(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [62] 49.8% --------------------------------------------------------------------- loop [54] 50.0% merge-egraph-nodes! [47] 50.0% [61] 242(1.0%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [54] 50.0% custom-set-union [64] 50.0% --------------------------------------------------------------------- map [34] 1.3% for-loop [60] 1.3% loop [54] 97.4% [62] 15514(63.9%) 894(3.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [68] 79.4% real->bigfloat [70] 13.5% ??? [88] 1.4% --------------------------------------------------------------------- ??? [10] 2.8% localize-error [30] 2.8% for-loop [23] 3.4% ??? [72] 3.4% loop [15] 3.4% for-loop [14] 6.8% loop [54] 37.0% eval-prog [58] 40.2% [63] 3862(15.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [69] 40.2% ??? [4] 37.0% ??? [5] 6.8% ??? [72] 3.4% ??? [8] 3.4% simplify [6] 3.4% parse-loop12 [71] 2.8% f6 [9] 2.8% --------------------------------------------------------------------- loop! [61] 100.0% [64] 242(1.0%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [73] 100.0% --------------------------------------------------------------------- ->flonum [59] 100.0% [65] 232(1.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [90] 100.0% --------------------------------------------------------------------- eval-prog [58] 100.0% [66] 220(0.9%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [74] 100.0% --------------------------------------------------------------------- eval-prog [58] 33.3% inductor [67] 66.7% [67] 220(0.9%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [67] 66.7% real->bigfloat [70] 33.3% --------------------------------------------------------------------- ??? [62] 100.0% [68] 12314(50.7%) 670(2.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [84] 46.9% bf* [80] 27.7% bfcube [76] 12.5% ...higher-order.rkt:369:33 [78] 4.0% ...higher-order.rkt:373:33 [79] 3.4% --------------------------------------------------------------------- hash-ref! [63] 100.0% [69] 2982(12.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [75] 71.6% sig+exp->bigfloat [77] 28.4% --------------------------------------------------------------------- inductor [67] 9.5% ??? [62] 90.5% [70] 2308(9.5%) 2110(8.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [90] 8.6% --------------------------------------------------------------------- map [34] 8.3% hash-ref! [63] 25.0% parse-loop12 [71] 27.1% simplify [6] 39.6% [71] 880(3.6%) 660(2.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [71] 27.1% loop [54] 25.0% f6 [9] 8.3% --------------------------------------------------------------------- hash-ref! [63] 100.0% [72] 660(2.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [63] 100.0% --------------------------------------------------------------------- custom-set-union [64] 100.0% [73] 242(1.0%) 242(1.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 --------------------------------------------------------------------- ??? [66] 100.0% [74] 220(0.9%) 220(0.9%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 --------------------------------------------------------------------- bigfloat-hash [69] 100.0% [75] 2136(8.8%) 1898(7.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [81] 11.1% --------------------------------------------------------------------- ??? [68] 100.0% [76] 1542(6.4%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [80] 85.1% ...ow-val-first.rkt:357:18 [82] 14.9% --------------------------------------------------------------------- bigfloat-hash [69] 100.0% [77] 846(3.5%) 642(2.6%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [83] 24.1% --------------------------------------------------------------------- ??? [68] 100.0% [78] 490(2.0%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [85] 53.1% ??? [88] 46.9% --------------------------------------------------------------------- ??? [68] 100.0% [79] 420(1.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [85] 100.0% --------------------------------------------------------------------- bfcube [76] 27.8% ??? [68] 72.2% [80] 4726(19.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [84] 100.0% --------------------------------------------------------------------- bfcanonicalize [75] 100.0% [81] 238(1.0%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [86] 100.0% --------------------------------------------------------------------- bfcube [76] 100.0% [82] 230(0.9%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [85] 100.0% --------------------------------------------------------------------- sig+exp->bigfloat [77] 100.0% [83] 204(0.8%) 204(0.8%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 --------------------------------------------------------------------- loop [54] 2.1% bf* [80] 44.1% ??? [68] 53.9% [84] 10724(44.2%) 4226(17.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [87] 48.3% ??? [89] 12.3% --------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [82] 25.3% ...higher-order.rkt:369:33 [78] 28.6% ...higher-order.rkt:373:33 [79] 46.2% [85] 910(3.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [88] 100.0% --------------------------------------------------------------------- bigfloat->sig+exp [81] 100.0% [86] 238(1.0%) 238(1.0%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 --------------------------------------------------------------------- ??? [84] 100.0% [87] 5180(21.3%) 4234(17.4%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [90] 18.3% --------------------------------------------------------------------- ??? [62] 16.1% ...higher-order.rkt:369:33 [78] 16.9% ??? [85] 67.0% [88] 1358(5.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% --------------------------------------------------------------------- ->flonum [59] 13.3% ??? [84] 42.7% ??? [88] 44.0% [89] 3086(12.7%) 926(3.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 70.0% --------------------------------------------------------------------- real->bigfloat [70] 14.4% ??? [65] 16.9% bfmul [87] 68.8% [90] 1376(5.7%) 1376(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [89] 100.0% [91] 2160(8.9%) 1092(4.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [92] 49.4% --------------------------------------------------------------------- ??? [91] 100.0% [92] 1068(4.4%) 1068(4.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------