Profiling results ----------------- Total cpu time observed: 123850ms (out of 124504ms) Number of samples taken: 378 (once every 328ms) (Hiding functions with self<1.0% and local<2.0%: 7 of 241 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== run [23] 50.0% [1] 123850(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [11] 50.0% run-improve39 [12] 42.7% loop [35] 4.3% oracle-error [13] 1.8% get-final-combination [17] 0.6% eval-errors [91] 0.3% baseline-error [21] 0.1% -------------------------------------------------------------------------- ??? [110] 100.0% [2] 4610(3.7%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [15] 80.3% for-loop [20] 13.1% taylor-quotient [38] 6.6% -------------------------------------------------------------------------- loop [25] 26.8% for-loop [149] 73.2% [3] 3408(2.8%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [14] 100.0% -------------------------------------------------------------------------- hash-ref! [156] 100.0% [4] 2172(1.8%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:300:23 for-loop [16] 100.0% -------------------------------------------------------------------------- loop [188] 100.0% [5] 1268(1.0%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:140:0 for-loop [18] 100.0% -------------------------------------------------------------------------- hash-ref! [156] 100.0% [6] 1208(1.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:290:26 for-loop [19] 100.0% -------------------------------------------------------------------------- for-loop [149] 100.0% [7] 972(0.8%) 318(0.3%) expand-implicit (unknown source) resolve+shift28 [46] 67.3% -------------------------------------------------------------------------- match-e [141] 100.0% [8] 938(0.8%) 0(0.0%) variable? ...e/develop/src/syntax/syntax.rkt:715:0 ??? [57] 100.0% -------------------------------------------------------------------------- for-loop [149] 100.0% [9] 666(0.5%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [46] 100.0% -------------------------------------------------------------------------- matcher [93] 100.0% [10] 328(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/matcher.rkt:160:6 pattern-match [22] 100.0% -------------------------------------------------------------------------- ??? [1] 100.0% [11] 123850(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [23] 100.0% -------------------------------------------------------------------------- ??? [1] 100.0% [12] 105842(85.5%) 0(0.0%) run-improve39 ...ie/develop/src/mainloop.rkt:287:0 for-loop [24] 99.0% setup-prog!32 [31] 0.3% -------------------------------------------------------------------------- ??? [1] 100.0% [13] 4366(3.5%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:227:0 for-loop [26] 100.0% -------------------------------------------------------------------------- expand-id-application-form17 [161] 21.3% syntax-e [3] 78.7% [14] 4332(3.5%) 0(0.0%) syntax-e/no-taint (unknown source) loop [25] 100.0% -------------------------------------------------------------------------- approximate9 [2] 100.0% [15] 3702(3.0%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 ??? [110] 100.0% -------------------------------------------------------------------------- ??? [4] 100.0% [16] 2172(1.8%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:303:27 hash-ref! [156] 100.0% -------------------------------------------------------------------------- ??? [1] 100.0% [17] 1608(1.3%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:310:0 infer-splitpoints [27] 100.0% -------------------------------------------------------------------------- set-precompute! [5] 100.0% [18] 1268(1.0%) 348(0.3%) for-loop ...ie/develop/src/core/simplify.rkt:142:2 reduce-to-new! [28] 48.7% eval-const-expr [33] 23.8% -------------------------------------------------------------------------- ??? [6] 100.0% [19] 1208(1.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:290:52 hash-ref! [156] 50.3% ??? [30] 49.7% -------------------------------------------------------------------------- approximate9 [2] 100.0% [20] 606(0.5%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [29] 100.0% -------------------------------------------------------------------------- ??? [1] 100.0% [21] 354(0.3%) 0(0.0%) baseline-error ...bie/develop/src/points.rkt:231:0 argmin [139] 100.0% -------------------------------------------------------------------------- for-loop [32] 50.0% for-loop [10] 50.0% [22] 328(0.3%) 0(0.0%) pattern-match ...develop/src/core/matcher.rkt:48:0 for-loop [32] 50.0% ??? [57] 50.0% -------------------------------------------------------------------------- profile-thunk16 [11] 100.0% [23] 123850(100.0%) 0(0.0%) run ...racket/share/pkgs/profile-lib/main.rkt:39:2 ??? [1] 100.0% -------------------------------------------------------------------------- run-improve39 [12] 100.0% [24] 104806(84.6%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:304:10 run-iter! [34] 100.0% -------------------------------------------------------------------------- syntax->list [214] 1.9% lambda-clause-expander [138] 1.9% eval-prog [92] 5.5% for-loop [149] 13.9% apply-transformer52 [170] 16.3% syntax-e/no-taint [14] 60.5% [25] 5556(4.5%) 0(0.0%) loop (unknown source) gf [36] 60.5% expand-id-application-form17 [161] 13.9% core-form-sym [39] 10.9% syntax-e [3] 7.3% expand-capturing-lifts [130] 5.5% dispatch-transformer41 [158] 1.9% -------------------------------------------------------------------------- oracle-error [13] 100.0% [26] 4366(3.5%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:228:2 loop [188] 57.4% map [85] 42.6% -------------------------------------------------------------------------- get-final-combination [17] 100.0% [27] 1608(1.3%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:32:0 for-loop [37] 79.9% exprs-to-branch-on [40] 20.1% -------------------------------------------------------------------------- for-loop [18] 100.0% [28] 618(0.5%) 318(0.3%) reduce-to-new! ...evelop/src/core/egraph.rkt:337:0 merge-egraph-nodes! [147] 48.5% -------------------------------------------------------------------------- for-loop [20] 26.8% taylor [29] 73.2% [29] 606(0.5%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:169:0 taylor [29] 73.2% taylor-quotient [38] 16.9% debug-print [73] 9.8% -------------------------------------------------------------------------- for-loop [19] 100.0% [30] 600(0.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:293:19 hash-ref! [156] 100.0% -------------------------------------------------------------------------- run-improve39 [12] 100.0% [31] 360(0.3%) 0(0.0%) setup-prog!32 ...bie/develop/src/mainloop.rkt:63:0 loop [35] 100.0% -------------------------------------------------------------------------- pattern-match [22] 100.0% [32] 328(0.3%) 0(0.0%) for-loop ...rbie/develop/src/core/matcher.rkt:66:9 pattern-match [22] 100.0% -------------------------------------------------------------------------- for-loop [18] 100.0% [33] 302(0.2%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:132:0 eval-prog [92] 100.0% -------------------------------------------------------------------------- for-loop [24] 100.0% [34] 104806(84.6%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:268:0 simplify! [41] 66.9% finalize-iter! [42] 25.5% gen-series! [44] 4.7% gen-rewrites! [47] 2.0% choose-best-alt! [49] 0.9% -------------------------------------------------------------------------- setup-prog!32 [31] 3.3% ??? [1] 96.7% [35] 11076(8.9%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:167:2 loop [58] 49.3% loop [43] 48.0% for-loop [55] 2.7% -------------------------------------------------------------------------- loop [25] 100.0% [36] 4332(3.5%) 312(0.3%) gf (unknown source) propagation-apply [45] 57.9% propagation-apply-shifted [50] 14.1% cache-or-reuse-set [51] 13.9% cache-or-reuse-hash [54] 7.0% -------------------------------------------------------------------------- infer-splitpoints [27] 100.0% [37] 1284(1.0%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:44:6 option-on-expr [48] 100.0% -------------------------------------------------------------------------- approximate9 [2] 49.5% taylor [29] 50.5% [38] 610(0.5%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:333:0 simplify [167] 50.5% first-nonzero-exp [53] 49.5% -------------------------------------------------------------------------- loop [25] 100.0% [39] 604(0.5%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [46] 100.0% -------------------------------------------------------------------------- infer-splitpoints [27] 100.0% [40] 324(0.3%) 0(0.0%) exprs-to-branch-on ...op/src/core/regimes.rkt:56:0 all-critical-subexpressions [52] 100.0% -------------------------------------------------------------------------- run-iter! [34] 100.0% [41] 70112(56.6%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:182:0 for-loop [56] 100.0% -------------------------------------------------------------------------- run-iter! [34] 100.0% [42] 26700(21.6%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:222:0 ??? [57] 100.0% -------------------------------------------------------------------------- loop [35] 100.0% [43] 5312(4.3%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:125:2 make-exacts* [60] 68.7% loop [58] 31.3% -------------------------------------------------------------------------- run-iter! [34] 100.0% [44] 4920(4.0%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:152:0 for-loop [59] 100.0% -------------------------------------------------------------------------- gf [36] 100.0% [45] 2508(2.0%) 2508(2.0%) propagation-apply (unknown source) -------------------------------------------------------------------------- expand-id-application-form17 [161] 14.0% core-form-sym [39] 27.0% expand-implicit [7] 29.2% expand-identifier [9] 29.8% [46] 2236(1.8%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [61] 100.0% -------------------------------------------------------------------------- run-iter! [34] 100.0% [47] 2148(1.7%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:165:0 for-loop [62] 100.0% -------------------------------------------------------------------------- for-loop [37] 100.0% [48] 1284(1.0%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:112:0 for-loop [63] 49.8% err-lsts->split-indices [64] 26.9% sort-context-on-expr [67] 23.2% -------------------------------------------------------------------------- run-iter! [34] 100.0% [49] 926(0.7%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:114:0 ??? [57] 100.0% -------------------------------------------------------------------------- gf [36] 100.0% [50] 610(0.5%) 610(0.5%) propagation-apply-shifted (unknown source) -------------------------------------------------------------------------- gf [36] 100.0% [51] 600(0.5%) 600(0.5%) cache-or-reuse-set (unknown source) -------------------------------------------------------------------------- exprs-to-branch-on [40] 100.0% [52] 324(0.3%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:73:0 for-loop [65] 100.0% -------------------------------------------------------------------------- taylor-quotient [38] 100.0% [53] 302(0.2%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:265:0 hash-ref! [156] 100.0% -------------------------------------------------------------------------- gf [36] 100.0% [54] 302(0.2%) 0(0.0%) cache-or-reuse-hash (unknown source) for-loop [149] 100.0% -------------------------------------------------------------------------- loop [35] 100.0% [55] 298(0.2%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:182:19 for-loop [66] 100.0% -------------------------------------------------------------------------- simplify! [41] 100.0% [56] 70112(56.6%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:186:6 for-loop [68] 99.5% debug-print [73] 0.5% -------------------------------------------------------------------------- free-variables [112] 1.0% debug7 [133] 1.1% pattern-match [22] 1.1% choose-best-alt! [49] 3.0% match-e [141] 3.1% variable? [8] 3.1% finalize-iter! [42] 87.7% [57] 30462(24.6%) 2836(2.3%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [69] 87.7% ??? [72] 3.0% -------------------------------------------------------------------------- loop [43] 23.3% loop [35] 76.7% [58] 7128(5.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:108:4 loop [188] 100.0% -------------------------------------------------------------------------- gen-series! [44] 100.0% [59] 4920(4.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:158:7 taylor-alt [70] 100.0% -------------------------------------------------------------------------- loop [43] 100.0% [60] 3650(2.9%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:105:0 loop [188] 100.0% -------------------------------------------------------------------------- resolve+shift28 [46] 100.0% [61] 2236(1.8%) 312(0.3%) fallback-loop (unknown source) for-loop [149] 86.0% -------------------------------------------------------------------------- gen-rewrites! [47] 100.0% [62] 2148(1.7%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:170:11 ??? [71] 100.0% -------------------------------------------------------------------------- option-on-expr [48] 100.0% [63] 640(0.5%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:120:4 eval-errors [91] 52.2% eval-prog [92] 47.8% -------------------------------------------------------------------------- option-on-expr [48] 100.0% [64] 346(0.3%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:238:0 loop [74] 100.0% -------------------------------------------------------------------------- all-critical-subexpressions [52] 100.0% [65] 324(0.3%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:77:2 f46 [200] 100.0% -------------------------------------------------------------------------- for-loop [55] 100.0% [66] 298(0.2%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:159:4 ??? [110] 100.0% -------------------------------------------------------------------------- option-on-expr [48] 100.0% [67] 298(0.2%) 0(0.0%) sort-context-on-expr ...evelop/src/points.rkt:91:0 ??? [75] 100.0% -------------------------------------------------------------------------- for-loop [56] 100.0% [68] 69786(56.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:210:8 ??? [110] 100.0% -------------------------------------------------------------------------- ??? [57] 100.0% [69] 26700(21.6%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [76] 89.2% loop [78] 10.8% -------------------------------------------------------------------------- for-loop [59] 100.0% [70] 4920(4.0%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:137:0 for-loop [77] 100.0% -------------------------------------------------------------------------- for-loop [62] 100.0% [71] 2148(1.7%) 308(0.2%) ??? ...ies/herbie/develop/src/alternative.rkt:54:0 rewriter [79] 85.7% -------------------------------------------------------------------------- ??? [57] 100.0% [72] 926(0.7%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [110] 100.0% -------------------------------------------------------------------------- taylor [29] 47.8% for-loop [56] 52.2% [73] 624(0.5%) 0(0.0%) debug-print .../herbie/develop/src/debug.rkt:107:0 for-loop [80] 52.2% ??? [81] 47.8% -------------------------------------------------------------------------- err-lsts->split-indices [64] 100.0% [74] 346(0.3%) 346(0.3%) loop .../herbie/develop/src/core/regimes.rkt:289:4 -------------------------------------------------------------------------- sort-context-on-expr [67] 100.0% [75] 298(0.2%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:369:3 generic-sort/key [82] 100.0% -------------------------------------------------------------------------- for-loop [69] 100.0% [76] 23822(19.2%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:210:0 override-at-pnts [83] 50.2% best-and-tied-at-points [84] 49.8% -------------------------------------------------------------------------- taylor-alt [70] 100.0% [77] 4920(4.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:143:6 ??? [110] 100.0% -------------------------------------------------------------------------- for-loop [69] 100.0% [78] 2878(2.3%) 622(0.5%) loop ...erbie/develop/src/core/alt-table.rkt:184:2 map [85] 44.8% loop [88] 22.0% loop [188] 11.7% -------------------------------------------------------------------------- ??? [71] 34.9% matcher [93] 65.1% [79] 1840(1.5%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [86] 84.7% *rules* [87] 15.3% -------------------------------------------------------------------------- debug-print [73] 100.0% [80] 326(0.3%) 326(0.3%) for-loop ...ies/herbie/develop/src/debug.rkt:115:2 -------------------------------------------------------------------------- debug-print [73] 100.0% [81] 298(0.2%) 0(0.0%) ??? .../contract/private/arrow-val-first.rkt:428:3 ~r78 [89] 100.0% -------------------------------------------------------------------------- ??? [75] 100.0% [82] 298(0.2%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [90] 100.0% -------------------------------------------------------------------------- atab-add-altn [76] 100.0% [83] 11970(9.7%) 970(0.8%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 eval-errors [91] 44.5% eval-prog [92] 42.0% in-parallel [96] 2.7% for-loop [97] 2.6% -------------------------------------------------------------------------- atab-add-altn [76] 100.0% [84] 11852(9.6%) 324(0.3%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 eval-errors [91] 57.6% eval-prog [92] 34.5% make-sequence [151] 2.6% for-loop [98] 2.5% -------------------------------------------------------------------------- parse-loop80 [181] 2.0% loop [78] 18.8% for-loop [26] 27.1% f46 [200] 52.1% [85] 6864(5.5%) 306(0.2%) map ...acket/collects/racket/private/map.rkt:35:13 loop [188] 42.0% f46 [200] 34.6% parse-loop80 [181] 6.1% ??? [202] 4.8% simplify* [94] 4.5% simplify-node [95] 4.4% make-multiplication-node [206] 1.4% -------------------------------------------------------------------------- rewriter [79] 100.0% [86] 1840(1.5%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [93] 89.3% type-of [99] 5.4% return/no-unsupplied [227] 5.3% -------------------------------------------------------------------------- rewriter [79] 100.0% [87] 922(0.7%) 318(0.3%) *rules* ...rbie/develop/src/syntax/rules.rkt:643:0 for-loop [163] 65.5% -------------------------------------------------------------------------- loop [78] 100.0% [88] 632(0.5%) 632(0.5%) loop ...cket/collects/racket/private/hash.rkt:20:4 -------------------------------------------------------------------------- ??? [81] 100.0% [89] 298(0.2%) 298(0.2%) ~r78 ...92/racket/collects/racket/format.rkt:189:0 -------------------------------------------------------------------------- generic-sort/key [82] 100.0% [90] 298(0.2%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 loop [100] 100.0% -------------------------------------------------------------------------- for-loop [63] 2.4% ??? [145] 2.5% ??? [132] 4.4% ??? [1] 4.8% override-at-pnts [83] 37.7% best-and-tied-at-points [84] 48.3% [91] 14140(11.4%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:208:0 for-loop [101] 100.0% -------------------------------------------------------------------------- eval-const-expr [33] 3.0% for-loop [63] 3.0% ??? [132] 3.1% best-and-tied-at-points [84] 40.7% override-at-pnts [83] 50.1% [92] 10034(8.1%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:109:0 temp68_2 [102] 84.4% eval-one-top12 [106] 3.3% hash-ref! [156] 3.2% loop [25] 3.1% f46 [200] 3.0% eval [108] 3.0% -------------------------------------------------------------------------- for-loop [103] 50.0% for-loop [86] 50.0% [93] 1840(1.5%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:168:2 for-loop [103] 50.0% rewriter [79] 45.5% for-loop [10] 4.5% -------------------------------------------------------------------------- parse-loop80 [181] 19.0% map [85] 81.0% [94] 1566(1.3%) 0(0.0%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 hash-ref! [156] 58.0% ??? [226] 22.7% return/no-unsupplied [227] 19.3% -------------------------------------------------------------------------- map [85] 100.0% [95] 896(0.7%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:50:0 combine-mterms [107] 33.5% gather-multiplicative-terms [109] 33.3% append-map [104] 33.3% -------------------------------------------------------------------------- override-at-pnts [83] 100.0% [96] 322(0.3%) 322(0.3%) in-parallel ...lects/racket/private/for.rkt:1198:2 -------------------------------------------------------------------------- override-at-pnts [83] 100.0% [97] 316(0.3%) 0(0.0%) for-loop .../develop/src/core/alt-table.rkt:146:43 ??? [105] 100.0% -------------------------------------------------------------------------- best-and-tied-at-points [84] 100.0% [98] 302(0.2%) 0(0.0%) for-loop .../develop/src/core/alt-table.rkt:124:16 ??? [105] 100.0% -------------------------------------------------------------------------- for-loop [86] 100.0% [99] 300(0.2%) 0(0.0%) type-of .../herbie/develop/src/type-check.rkt:34:0 table-ref [205] 100.0% -------------------------------------------------------------------------- copying-mergesort [90] 100.0% [100] 298(0.2%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:96:12 ??? [209] 100.0% -------------------------------------------------------------------------- eval-errors [91] 100.0% [101] 14140(11.4%) 1902(1.5%) for-loop ...es/herbie/develop/src/points.rkt:210:2 ??? [209] 55.5% ulp-difference [211] 17.8% ??? [110] 13.3% -------------------------------------------------------------------------- parse-loop80 [181] 9.7% eval-prog [92] 90.3% [102] 9384(7.6%) 0(0.0%) temp68_2 (unknown source) compile16 [111] 100.0% -------------------------------------------------------------------------- matcher [93] 100.0% [103] 1840(1.5%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:184:21 matcher [93] 100.0% -------------------------------------------------------------------------- simplify-node [95] 32.0% f46 [200] 68.0% [104] 930(0.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:586:2 f46 [200] 34.8% free-variables [112] 33.1% parse-loop80 [181] 32.0% -------------------------------------------------------------------------- for-loop [98] 48.9% for-loop [97] 51.1% [105] 618(0.5%) 618(0.5%) ??? ...ket/collects/racket/private/for.rkt:1208:14 -------------------------------------------------------------------------- eval-prog [92] 100.0% [106] 330(0.3%) 330(0.3%) eval-one-top12 (unknown source) -------------------------------------------------------------------------- simplify-node [95] 100.0% [107] 300(0.2%) 0(0.0%) combine-mterms ...evelop/src/core/reduce.rkt:199:0 for-loop [113] 100.0% -------------------------------------------------------------------------- eval-prog [92] 100.0% [108] 300(0.2%) 0(0.0%) eval (unknown source) namespace-syntax-introduce3 [114] 100.0% -------------------------------------------------------------------------- simplify-node [95] 100.0% [109] 298(0.2%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:116:0 curried [207] 100.0% -------------------------------------------------------------------------- for-loop [66] 0.4% loop [188] 0.4% ??? [202] 0.8% ??? [209] 1.2% ??? [72] 1.2% loop [15] 1.5% for-loop [77] 2.3% for-loop [101] 2.4% for-loop [68] 43.8% location-do [115] 46.1% [110] 79690(64.3%) 918(0.7%) ??? ...tract/private/arrow-higher-order.rkt:357:33 location-do [115] 46.1% ??? [116] 43.6% ->flonum [118] 3.6% approximate9 [2] 2.1% hash-ref! [156] 1.5% best-alt [119] 1.2% ??? [120] 0.2% simplify [167] 0.2% -------------------------------------------------------------------------- temp68_2 [102] 100.0% [111] 9384(7.6%) 0(0.0%) compile16 (unknown source) temp74_0 [117] 100.0% -------------------------------------------------------------------------- append-map [104] 100.0% [112] 308(0.2%) 0(0.0%) free-variables ...ie/develop/src/programs.rkt:80:0 ??? [57] 100.0% -------------------------------------------------------------------------- combine-mterms [107] 100.0% [113] 300(0.2%) 300(0.2%) for-loop ...rbie/develop/src/core/reduce.rkt:203:5 -------------------------------------------------------------------------- eval [108] 100.0% [114] 300(0.2%) 0(0.0%) namespace-syntax-introduce3 (unknown source) namespace-module-identifier6 [121]100.0% -------------------------------------------------------------------------- ??? [110] 49.3% location-do [115] 50.7% [115] 74706(60.3%) 0(0.0%) location-do ...erbie/develop/src/programs.rkt:90:0 location-do [115] 50.7% ??? [110] 49.3% -------------------------------------------------------------------------- ??? [110] 99.0% [116] 70138(56.6%) 312(0.3%) ??? ...s/herbie/develop/src/core/simplify.rkt:31:0 iterate-egraph!7 [122] 95.9% loop [124] 2.3% mk-egraph [126] 0.9% debug7 [133] 0.5% -------------------------------------------------------------------------- compile16 [111] 100.0% [117] 9384(7.6%) 0(0.0%) temp74_0 (unknown source) expand-single [123] 96.5% compile-top9 [128] 3.5% -------------------------------------------------------------------------- ??? [110] 100.0% [118] 2842(2.3%) 1238(1.0%) ->flonum ...s/herbie/develop/src/programs.rkt:36:0 return/no-unsupplied [227] 34.7% ??? [226] 21.7% -------------------------------------------------------------------------- ??? [110] 100.0% [119] 926(0.7%) 0(0.0%) best-alt .../herbie/develop/src/mainloop.rkt:109:0 loop [125] 100.0% -------------------------------------------------------------------------- ??? 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[116] 50.0% [133] 648(0.5%) 0(0.0%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 ??? [57] 50.0% ??? [226] 50.0% -------------------------------------------------------------------------- mk-egraph [126] 29.1% mk-enode-rec! [134] 70.9% [134] 610(0.5%) 0(0.0%) mk-enode-rec! ...develop/src/core/egraph.rkt:122:0 mk-enode-rec! [134] 70.9% mk-enode! [169] 29.1% -------------------------------------------------------------------------- compile-top9 [128] 100.0% [135] 324(0.3%) 0(0.0%) compile-forms31 (unknown source) for-loop [149] 100.0% -------------------------------------------------------------------------- one-iter [129] 100.0% [136] 40120(32.4%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:113:2 for-loop [140] 78.0% match-e [141] 14.6% set [190] 4.9% reduce-to-single! [144] 0.9% -------------------------------------------------------------------------- for-loop [137] 46.2% one-iter [129] 53.8% [137] 25250(20.4%) 8462(6.8%) for-loop ...ie/develop/src/core/simplify.rkt:76:12 for-loop [137] 46.2% match-e [141] 32.6% ??? [146] 0.7% -------------------------------------------------------------------------- expand-capturing-lifts [130] 100.0% [138] 7546(6.1%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [142] 95.9% loop [25] 4.1% -------------------------------------------------------------------------- baseline-error [21] 27.4% for-loop [131] 72.6% [139] 1294(1.0%) 0(0.0%) argmin ...92/racket/collects/racket/list.rkt:765:0 expression-cost [143] 72.6% ??? [145] 27.4% -------------------------------------------------------------------------- for-loop [136] 100.0% [140] 31274(25.3%) 344(0.3%) for-loop ...bie/develop/src/core/simplify.rkt:98:4 merge-egraph-nodes! [147] 51.8% loop! [165] 36.0% substitute-e [150] 8.0% mk-enode! [169] 3.1% -------------------------------------------------------------------------- for-loop [136] 17.0% for-loop [155] 22.7% for-loop [137] 60.3% [141] 22280(18.0%) 7292(5.9%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [148] 64.3% make-sequence [151] 2.9% ??? [57] 1.6% variable? [8] 1.6% -------------------------------------------------------------------------- lambda-clause-expander [138] 14.6% for-loop [149] 85.4% [142] 7234(5.8%) 0(0.0%) finish-bodys (unknown source) for-loop [149] 100.0% -------------------------------------------------------------------------- argmin [139] 100.0% [143] 940(0.8%) 0(0.0%) expression-cost .../develop/src/programs.rkt:168:0 compile [152] 100.0% -------------------------------------------------------------------------- for-loop [136] 100.0% [144] 362(0.3%) 0(0.0%) reduce-to-single! ...lop/src/core/egraph.rkt:325:0 for-loop [153] 100.0% -------------------------------------------------------------------------- argmin [139] 100.0% [145] 354(0.3%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:232:27 eval-errors [91] 100.0% -------------------------------------------------------------------------- for-loop [137] 100.0% [146] 346(0.3%) 0(0.0%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 make-sequence [151] 100.0% -------------------------------------------------------------------------- reduce-to-new! [28] 1.8% for-loop [157] 8.4% for-loop [140] 89.8% [147] 16514(13.3%) 634(0.5%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! [154] 59.5% for-loop [157] 26.9% enode-merge! [162] 7.7% for-loop [163] 2.0% -------------------------------------------------------------------------- match-e [141] 100.0% [148] 15638(12.6%) 7994(6.5%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [155] 49.2% list-cartesian-product [160] 10.0% loop [188] 4.0% -------------------------------------------------------------------------- cache-or-reuse-hash [54] 3.6% compile-forms31 [135] 3.8% fallback-loop [61] 6.9% for-loop [149] 10.6% finish-bodys [142] 75.1% [149] 8464(6.8%) 3184(2.6%) for-loop (unknown source) finish-bodys [142] 64.6% for-loop [149] 10.6% syntax-e [3] 3.5% loop [25] 2.2% expand-implicit [7] 1.1% expand-identifier [9] 1.1% dispatch-transformer41 [158] 0.8% expand-id-application-form17 [161] 0.6% -------------------------------------------------------------------------- for-loop [159] 12.4% for-loop [140] 87.6% [150] 2504(2.0%) 620(0.5%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 for-loop [159] 87.6% -------------------------------------------------------------------------- best-and-tied-at-points [84] 18.6% ??? [146] 20.9% for-loop [131] 22.0% match-e [141] 38.5% [151] 1654(1.3%) 1346(1.1%) make-sequence ...ects/racket/private/for.rkt:528:2 ??? [164] 18.6% -------------------------------------------------------------------------- expression-cost [143] 100.0% [152] 940(0.8%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:145:0 hash-ref! [156] 100.0% -------------------------------------------------------------------------- reduce-to-single! [144] 100.0% [153] 362(0.3%) 362(0.3%) for-loop ...rbie/develop/src/core/egraph.rkt:326:8 -------------------------------------------------------------------------- merge-egraph-nodes! [147] 100.0% [154] 10704(8.6%) 328(0.3%) update-leader! ...evelop/src/core/egraph.rkt:218:0 for-loop [166] 72.6% for-loop [171] 21.5% custom-set-union! [178] 2.8% -------------------------------------------------------------------------- for-loop [148] 100.0% [155] 10576(8.5%) 1656(1.3%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [141] 87.6% -------------------------------------------------------------------------- eval-prog [92] 1.9% for-loop [19] 2.0% ??? [175] 2.0% ??? [176] 2.4% first-nonzero-exp [53] 2.7% loop [188] 3.8% ??? [30] 4.5% ??? [173] 6.8% simplify* [94] 7.5% compile [152] 10.1% for-loop [16] 10.2% ??? [168] 23.0% ??? [110] 23.0% [156] 5576(4.5%) 2170(1.8%) hash-ref! .../racket/private/more-scheme.rkt:376:2 simplify [167] 25.7% ??? [168] 23.0% ??? [173] 10.6% ??? [4] 10.2% ??? [6] 6.5% ??? [176] 2.4% ??? [175] 2.0% -------------------------------------------------------------------------- merge-egraph-nodes! [147] 100.0% [157] 5210(4.2%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:201:10 loop! [165] 58.8% merge-egraph-nodes! [147] 41.2% -------------------------------------------------------------------------- loop [25] 11.4% for-loop [149] 21.9% expand-capturing-lifts [130] 66.7% [158] 2732(2.2%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [170] 100.0% -------------------------------------------------------------------------- substitute-e [150] 100.0% [159] 2504(2.0%) 326(0.3%) for-loop ...rbie/develop/src/core/ematch.rkt:80:24 mk-enode! [169] 62.2% substitute-e [150] 24.8% -------------------------------------------------------------------------- list-cartesian-product [160] 13.8% for-loop [148] 86.2% [160] 2196(1.8%) 2196(1.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [160] 13.8% -------------------------------------------------------------------------- for-loop [149] 19.5% loop [25] 80.5% [161] 1536(1.2%) 300(0.2%) expand-id-application-form17 (unknown source) syntax-e/no-taint [14] 60.2% resolve+shift28 [46] 20.3% -------------------------------------------------------------------------- merge-egraph-nodes! [147] 100.0% [162] 1276(1.0%) 0(0.0%) enode-merge! ...e/develop/src/core/enode.rkt:127:0 adopt-enode! [172] 74.0% custom-set-intersect! [177] 26.0% -------------------------------------------------------------------------- *simplify-rules* [127] 25.8% merge-egraph-nodes! [147] 26.2% *rules* [87] 48.0% [163] 1258(1.0%) 330(0.3%) for-loop ...ies/herbie/develop/src/common.rkt:79:9 ormap [174] 49.8% flag-set? [184] 24.0% -------------------------------------------------------------------------- make-sequence [151] 100.0% [164] 308(0.2%) 308(0.2%) ??? ...cket/collects/racket/private/for.rkt:1203:9 -------------------------------------------------------------------------- for-loop [157] 15.3% loop [188] 28.7% for-loop [140] 56.0% [165] 14824(12.0%) 2614(2.1%) loop! ...s/herbie/develop/src/core/enode.rkt:190:2 custom-set-union [179] 41.2% loop [188] 33.0% set [190] 9.3% update-en-expr [218] 5.6% -------------------------------------------------------------------------- update-leader! [154] 100.0% [166] 7776(6.3%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:223:6 for-loop [180] 100.0% -------------------------------------------------------------------------- taylor-quotient [38] 6.7% ??? [110] 6.7% hash-ref! [156] 86.6% [167] 4622(3.7%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f46 [200] 80.4% parse-loop80 [181] 19.6% -------------------------------------------------------------------------- hash-ref! [156] 100.0% [168] 3702(3.0%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [156] 100.0% -------------------------------------------------------------------------- mk-enode-rec! [134] 19.5% for-loop [140] 30.6% for-loop [159] 49.8% [169] 3126(2.5%) 650(0.5%) mk-enode! ...bie/develop/src/core/egraph.rkt:102:0 new-enode [182] 49.5% for-loop [185] 19.8% mutable-set [194] 10.0% -------------------------------------------------------------------------- dispatch-transformer41 [158] 100.0% [170] 2732(2.2%) 308(0.2%) apply-transformer52 (unknown source) apply-transformer-in-context [183] 44.6% loop [25] 44.1% -------------------------------------------------------------------------- update-leader! 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[165] 88.2% [179] 8004(6.5%) 2884(2.3%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [191] 55.9% for-loop [193] 8.1% -------------------------------------------------------------------------- for-loop [166] 100.0% [180] 7776(6.3%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:224:8 hash-update! [189] 100.0% -------------------------------------------------------------------------- loop [188] 3.0% append-map [104] 6.0% parse-loop80 [181] 6.0% simplify [167] 27.7% map [85] 57.2% [181] 2470(2.0%) 0(0.0%) parse-loop80 ...s/racket/match/compiler.rkt:418:15 temp68_2 [102] 36.9% loop [188] 29.8% map [85] 18.2% parse-loop80 [181] 6.0% for-loop [198] 6.0% simplify* [94] 3.0% -------------------------------------------------------------------------- mk-enode! [169] 100.0% [182] 1546(1.2%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:95:0 type-of-enode-expr [192] 61.2% mutable-set [194] 19.5% set [190] 19.3% -------------------------------------------------------------------------- apply-transformer52 [170] 100.0% [183] 1218(1.0%) 308(0.2%) apply-transformer-in-context (unknown source) ??? [195] 25.6% parse-lambda [196] 24.6% parse-app [197] 24.5% -------------------------------------------------------------------------- for-loop [163] 32.5% ormap [174] 67.5% [184] 928(0.7%) 928(0.7%) flag-set? ...es/herbie/develop/src/config.rkt:31:0 -------------------------------------------------------------------------- mk-enode! [169] 100.0% [185] 618(0.5%) 618(0.5%) for-loop ...bie/develop/src/core/egraph.rkt:114:10 -------------------------------------------------------------------------- custom-set-intersect! [177] 100.0% [186] 332(0.3%) 332(0.3%) for-loop ...cts/racket/private/set-types.rkt:282:4 -------------------------------------------------------------------------- custom-set-union! [178] 100.0% [187] 298(0.2%) 298(0.2%) for-loop ...cts/racket/private/set-types.rkt:253:4 -------------------------------------------------------------------------- loop [78] 0.0% make-exacts* [60] 0.0% loop [58] 0.3% ??? [173] 1.1% for-loop [148] 1.4% parse-loop80 [181] 1.6% for-loop [26] 3.4% loop! [165] 3.8% map [85] 5.6% loop [188] 81.3% [188] 29250(23.6%) 1570(1.3%) loop ...cket/collects/racket/private/map.rkt:40:19 loop [188] 81.3% ??? [202] 5.5% loop! [165] 3.3% f46 [200] 2.2% ??? [209] 1.9% set-precompute! [5] 1.5% hash-ref! [156] 1.1% curried [207] 1.1% parse-loop80 [181] 0.5% ??? [204] 0.4% ??? [110] 0.4% ulp-difference [211] 0.2% -------------------------------------------------------------------------- for-loop [180] 100.0% [189] 7776(6.3%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [199] 100.0% -------------------------------------------------------------------------- new-enode [182] 5.8% for-loop [136] 38.2% loop! 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[110] 22.4% -------------------------------------------------------------------------- set [190] 100.0% [203] 1336(1.1%) 1336(1.1%) for-loop ...cts/racket/private/set-types.rkt:937:4 -------------------------------------------------------------------------- loop [188] 100.0% [204] 1288(1.0%) 0(0.0%) ??? ...erbie/develop/src/core/alt-table.rkt:201:30 loop [212] 100.0% -------------------------------------------------------------------------- type-of [99] 24.1% type-of-enode-expr [192] 75.9% [205] 1246(1.0%) 638(0.5%) table-ref ...es/herbie/develop/src/common.rkt:46:0 assoc-iterate-first [215] 24.7% for-loop [216] 24.1% -------------------------------------------------------------------------- for-loop [198] 32.0% map [85] 68.0% [206] 932(0.8%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:238:0 make-multiplication-subnode [213] 100.0% -------------------------------------------------------------------------- gather-multiplicative-terms [109] 48.2% loop [188] 51.8% [207] 618(0.5%) 618(0.5%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- ??? [195] 100.0% [208] 312(0.3%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [214] 100.0% -------------------------------------------------------------------------- loop [100] 1.4% ??? [202] 7.2% for-loop [101] 36.7% loop [188] 54.7% [209] 21368(17.3%) 914(0.7%) ??? ...tlies/herbie/develop/src/programs.rkt:129:2 ??? [217] 84.4% bf [219] 7.0% ??? [110] 4.3% -------------------------------------------------------------------------- ??? [199] 100.0% [210] 7438(6.0%) 6462(5.2%) for-loop ...bie/develop/src/core/egraph.rkt:227:26 update-en-expr [218] 13.1% -------------------------------------------------------------------------- loop [188] 8.7% ??? [202] 18.7% for-loop [101] 72.6% [211] 3470(2.8%) 2532(2.0%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [227] 18.3% ??? [226] 8.7% -------------------------------------------------------------------------- ??? [204] 46.3% loop [212] 53.7% [212] 1288(1.0%) 1288(1.0%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [212] 53.7% -------------------------------------------------------------------------- make-multiplication-node [206] 100.0% [213] 932(0.8%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:248:0 group-by61 [220] 100.0% -------------------------------------------------------------------------- ??? [208] 100.0% [214] 312(0.3%) 0(0.0%) syntax->list (unknown source) loop [25] 100.0% -------------------------------------------------------------------------- table-ref [205] 100.0% [215] 308(0.2%) 308(0.2%) assoc-iterate-first ...cket/private/dict.rkt:166:0 -------------------------------------------------------------------------- table-ref [205] 100.0% [216] 300(0.2%) 300(0.2%) for-loop ...ies/herbie/develop/src/common.rkt:48:4 -------------------------------------------------------------------------- ??? [209] 100.0% [217] 18034(14.6%) 2198(1.8%) ??? ...acket/collects/racket/private/kw.rkt:592:14 ??? [221] 36.4% ??? [225] 29.8% bf* [222] 21.6% -------------------------------------------------------------------------- for-loop [171] 19.6% for-loop [210] 29.8% loop! [165] 50.6% [218] 3276(2.6%) 1626(1.3%) update-en-expr ...evelop/src/core/egraph.rkt:212:0 for-loop [223] 50.4% -------------------------------------------------------------------------- ??? [209] 100.0% [219] 1502(1.2%) 328(0.3%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [233] 58.6% ??? [234] 19.6% -------------------------------------------------------------------------- make-multiplication-subnode [213] 100.0% [220] 932(0.8%) 634(0.5%) group-by61 ...acket/collects/racket/list.rkt:771:0 hash-update [224] 32.0% -------------------------------------------------------------------------- ??? [217] 100.0% [221] 6560(5.3%) 4054(3.3%) ??? ...herbie/develop/src/syntax/syntax.rkt:197:17 ??? [226] 19.2% list-member? [228] 13.9% return/no-unsupplied [227] 5.1% -------------------------------------------------------------------------- ??? [217] 100.0% [222] 3900(3.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [225] 100.0% -------------------------------------------------------------------------- update-en-expr [218] 100.0% [223] 1650(1.3%) 1650(1.3%) for-loop ...rbie/develop/src/core/egraph.rkt:214:6 -------------------------------------------------------------------------- group-by61 [220] 100.0% [224] 298(0.2%) 298(0.2%) hash-update ...acket/private/more-scheme.rkt:358:4 -------------------------------------------------------------------------- bf* [222] 42.0% ??? [217] 58.0% [225] 9276(7.5%) 1926(1.6%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [229] 70.8% bftan [230] 8.4% -------------------------------------------------------------------------- ulp-difference [211] 10.6% debug7 [133] 11.3% simplify* [94] 12.4% ->flonum [118] 21.6% ??? [221] 44.1% [226] 2862(2.3%) 2236(1.8%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ??? [231] 21.9% -------------------------------------------------------------------------- for-loop [86] 11.4% simplify* [94] 11.9% ??? [221] 13.0% ulp-difference [211] 25.0% ->flonum [118] 38.7% [227] 2546(2.1%) 1932(1.6%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [232] 24.1% -------------------------------------------------------------------------- ??? [221] 100.0% [228] 912(0.7%) 912(0.7%) list-member? ...llects/racket/private/set.rkt:24:0 -------------------------------------------------------------------------- ??? [225] 100.0% [229] 6568(5.3%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [233] 63.3% ??? [234] 36.7% -------------------------------------------------------------------------- ??? [225] 100.0% [230] 782(0.6%) 0(0.0%) bftan ...-lib/math/private/bigfloat/mpfr.rkt:618:4 new-mpfr [233] 100.0% -------------------------------------------------------------------------- ??? [226] 100.0% [231] 626(0.5%) 626(0.5%) ??? ...ects/racket/contract/private/prop.rkt:274:4 -------------------------------------------------------------------------- return/no-unsupplied [227] 100.0% [232] 614(0.5%) 614(0.5%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- bftan [230] 13.4% bf [219] 15.1% bfmul [229] 71.4% [233] 5820(4.7%) 5820(4.7%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 -------------------------------------------------------------------------- bf [219] 10.9% bfmul [229] 89.1% [234] 2704(2.2%) 2704(2.2%) ??? /home/p92/racket/collects/ffi/unsafe.rkt:898:4 --------------------------------------------------------------------------