Profiling results ----------------- Total cpu time observed: 31290ms (out of 31396ms) Number of samples taken: 152 (once every 206ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 198 hidden) ============================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ============================================================================== [1] 31290(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [18] 100.0% ------------------------------------------------------------------------------ ??? [114] 100.0% [2] 11684(37.3%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [19] 68.9% for-loop [24] 25.9% taylor [161] 3.5% for-loop [32] 1.7% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [3] 7032(22.5%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 hash-ref! [150] 60.5% ??? [114] 39.5% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [4] 6644(21.2%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [150] 96.9% ??? [37] 3.1% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [5] 5594(17.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [21] 100.0% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [6] 4772(15.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [22] 100.0% ------------------------------------------------------------------------------ loop [102] 24.5% for-loop [167] 75.5% [7] 2444(7.8%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [23] 100.0% ------------------------------------------------------------------------------ parse-loop74 [20] 17.8% hash-ref! [150] 18.1% map [134] 64.1% [8] 2250(7.2%) 206(0.7%) f61 (unknown source) eval-const-expr [34] 72.9% composed [29] 18.0% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [9] 2022(6.5%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:406:23 for-loop [26] 80.2% for-loop [30] 19.8% ------------------------------------------------------------------------------ taylor [161] 16.5% map [134] 83.5% [10] 1214(3.9%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 first-nonzero-exp [40] 83.0% simplify* [142] 17.0% ------------------------------------------------------------------------------ matcher [163] 100.0% [11] 1212(3.9%) 200(0.6%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [27] 98.2% ------------------------------------------------------------------------------ for-loop [167] 100.0% [12] 1000(3.2%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [25] 100.0% ------------------------------------------------------------------------------ for-loop [177] 12.4% hash-ref! [150] 37.1% map [134] 50.5% [13] 808(2.6%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 append-map [164] 37.4% gather-multiplicative-terms [147] 37.1% gather-additive-terms6 [31] 25.5% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [14] 802(2.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:509:23 for-loop [28] 100.0% ------------------------------------------------------------------------------ for-loop [167] 100.0% [15] 600(1.9%) 200(0.6%) expand-implicit (unknown source) resolve+shift28 [25] 33.3% binding-lookup52 [166] 33.3% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [16] 448(1.4%) 0(0.0%) ??? ...lies/herbie/findroot/src/programs.rkt:178:5 loop [102] 100.0% ------------------------------------------------------------------------------ taylor [161] 100.0% [17] 200(0.6%) 0(0.0%) taylor-cbrt .../findroot/src/core/taylor.rkt:377:0 parse-loop74 [20] 100.0% ------------------------------------------------------------------------------ ??? [1] 100.0% [18] 31290(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [33] 100.0% ------------------------------------------------------------------------------ approximate9 [2] 100.0% [19] 8056(25.7%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [150] 87.3% ??? [114] 12.7% ------------------------------------------------------------------------------ taylor-cbrt [17] 3.5% map [134] 39.9% hash-ref! [150] 56.7% [20] 5778(18.5%) 200(0.6%) parse-loop74 (unknown source) eval-const-expr [34] 86.2% f61 [8] 6.9% simplify* [142] 3.4% ------------------------------------------------------------------------------ ??? [5] 100.0% [21] 5594(17.9%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [150] 100.0% ------------------------------------------------------------------------------ ??? [6] 100.0% [22] 4772(15.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [150] 77.8% ??? [37] 22.2% ------------------------------------------------------------------------------ gf [185] 5.9% expand-id-application-form17 [152] 24.4% syntax-e [7] 69.7% [23] 3506(11.2%) 200(0.6%) syntax-e/no-taint (unknown source) loop [102] 94.3% ------------------------------------------------------------------------------ approximate9 [2] 100.0% [24] 3022(9.7%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [161] 73.5% taylor-quotient [35] 19.9% taylor-exp [170] 6.6% ------------------------------------------------------------------------------ expand-implicit [15] 11.1% expand-id-application-form17 [152] 11.2% core-form-sym [109] 22.4% expand-identifier [12] 55.4% [25] 1806(5.8%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [36] 100.0% ------------------------------------------------------------------------------ ??? [9] 100.0% [26] 1622(5.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:412:39 hash-ref! [150] 100.0% ------------------------------------------------------------------------------ ??? [11] 100.0% [27] 1212(3.9%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [150] 100.0% ------------------------------------------------------------------------------ ??? [14] 100.0% [28] 802(2.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:513:35 parse-loop402 [38] 100.0% ------------------------------------------------------------------------------ f61 [8] 100.0% [29] 404(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [154] 100.0% ------------------------------------------------------------------------------ ??? [9] 100.0% [30] 400(1.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:410:33 hash-ref! [150] 100.0% ------------------------------------------------------------------------------ simplify-node [13] 100.0% [31] 206(0.7%) 0(0.0%) gather-additive-terms6 ...src/core/reduce.rkt:68:0 append-map [164] 100.0% ------------------------------------------------------------------------------ approximate9 [2] 100.0% [32] 200(0.6%) 0(0.0%) for-loop ...rbie/findroot/src/core/taylor.rkt:19:9 ??? [126] 100.0% ------------------------------------------------------------------------------ profile-thunk16 [18] 100.0% [33] 31290(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [39] 100.0% ------------------------------------------------------------------------------ f61 [8] 24.8% parse-loop74 [20] 75.2% [34] 6620(21.2%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [106] 80.8% loop [102] 9.1% eval-prog [104] 6.9% eval [42] 3.1% ------------------------------------------------------------------------------ map [134] 9.0% for-loop [24] 27.1% taylor [161] 63.9% [35] 2214(7.1%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [40] 91.0% f40 [125] 9.0% ------------------------------------------------------------------------------ resolve+shift28 [25] 100.0% [36] 1806(5.8%) 0(0.0%) fallback-loop (unknown source) for-loop [167] 100.0% ------------------------------------------------------------------------------ ??? [4] 6.8% for-loop [22] 93.2% [37] 1524(4.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [150] 100.0% ------------------------------------------------------------------------------ for-loop [28] 100.0% [38] 802(2.6%) 0(0.0%) parse-loop402 (unknown source) for-loop [41] 100.0% ------------------------------------------------------------------------------ for-loop [103] 7.0% run [33] 93.0% [39] 31290(100.0%) 1828(5.8%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [43] 66.5% prepare-points-intervals [44] 11.6% get-final-combination [45] 7.5% oracle-error [46] 5.2% ??? [114] 1.7% ??? [117] 1.3% errors [97] 1.0% *bit-width* [118] 1.0% eval-errors [48] 0.6% loop [102] 0.6% ------------------------------------------------------------------------------ taylor-invert [10] 33.4% taylor-quotient [35] 66.6% [40] 3022(9.7%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [150] 100.0% ------------------------------------------------------------------------------ parse-loop402 [38] 100.0% [41] 802(2.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:516:59 hash-ref! [150] 100.0% ------------------------------------------------------------------------------ eval-const-expr [34] 100.0% [42] 208(0.7%) 0(0.0%) eval (unknown source) add-ns-scopes [47] 100.0% ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [39] 100.0% [43] 22358(71.5%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [49] 97.6% simplify! [61] 2.4% ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [39] 100.0% [44] 3624(11.6%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [50] 100.0% ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [39] 100.0% [45] 2640(8.4%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [51] 100.0% ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [39] 100.0% [46] 1616(5.2%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [52] 100.0% ------------------------------------------------------------------------------ eval [42] 100.0% [47] 208(0.7%) 208(0.7%) add-ns-scopes (unknown source) ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [39] 100.0% [48] 200(0.6%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [53] 100.0% ------------------------------------------------------------------------------ run-improve47 [43] 100.0% [49] 21828(69.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [54] 100.0% ------------------------------------------------------------------------------ prepare-points-intervals [44] 100.0% [50] 3624(11.6%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [56] 55.5% ??? [57] 44.5% ------------------------------------------------------------------------------ get-final-combination [45] 100.0% [51] 2640(8.4%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [55] 91.8% loop [102] 8.2% ------------------------------------------------------------------------------ oracle-error [46] 100.0% [52] 1616(5.2%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [102] 100.0% ------------------------------------------------------------------------------ eval-errors [48] 100.0% [53] 200(0.6%) 200(0.6%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ------------------------------------------------------------------------------ for-loop [49] 100.0% [54] 21828(69.8%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [58] 54.5% finalize-iter! [59] 32.9% gen-rewrites! [62] 5.6% simplify! [61] 4.3% choose-best-alt! [63] 2.8% ------------------------------------------------------------------------------ infer-splitpoints [51] 100.0% [55] 2424(7.7%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [60] 91.7% filter [140] 8.3% ------------------------------------------------------------------------------ loop [50] 100.0% [56] 2010(6.4%) 200(0.6%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [126] 30.2% ??? [114] 30.0% real->precision [64] 19.9% ??? [153] 10.0% ------------------------------------------------------------------------------ loop [50] 100.0% [57] 1614(5.2%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [107] 50.3% loop [102] 49.7% ------------------------------------------------------------------------------ run-iter! [54] 100.0% [58] 11886(38.0%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [65] 100.0% ------------------------------------------------------------------------------ run-iter! [54] 100.0% [59] 7192(23.0%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [66] 100.0% ------------------------------------------------------------------------------ for-loop [55] 100.0% [60] 2224(7.1%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 for-loop [67] 72.9% err-lsts->split-indices [71] 18.0% sort-context-on-expr [72] 9.1% ------------------------------------------------------------------------------ run-improve47 [43] 36.2% run-iter! [54] 63.8% [61] 1466(4.7%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [68] 100.0% ------------------------------------------------------------------------------ run-iter! [54] 100.0% [62] 1212(3.9%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [69] 100.0% ------------------------------------------------------------------------------ run-iter! [54] 100.0% [63] 602(1.9%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [70] 100.0% ------------------------------------------------------------------------------ loop [56] 100.0% [64] 400(1.3%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [114] 50.0% ??? [73] 50.0% ------------------------------------------------------------------------------ gen-series! [58] 100.0% [65] 11886(38.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [74] 100.0% ------------------------------------------------------------------------------ free-variables [154] 2.7% finalize-iter! [59] 97.3% [66] 7394(23.6%) 202(0.6%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [75] 94.6% atab-add-altns [82] 2.7% ------------------------------------------------------------------------------ option-on-expr [60] 100.0% [67] 1622(5.2%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [97] 100.0% ------------------------------------------------------------------------------ simplify! [61] 100.0% [68] 1466(4.7%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [76] 100.0% ------------------------------------------------------------------------------ gen-rewrites! [62] 100.0% [69] 1212(3.9%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [77] 100.0% ------------------------------------------------------------------------------ choose-best-alt! [63] 100.0% [70] 602(1.9%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [78] 100.0% ------------------------------------------------------------------------------ option-on-expr [60] 100.0% [71] 400(1.3%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [79] 100.0% ------------------------------------------------------------------------------ option-on-expr [60] 100.0% [72] 202(0.6%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [80] 100.0% ------------------------------------------------------------------------------ real->precision [64] 100.0% [73] 200(0.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:770:8 bigvalue? [81] 100.0% ------------------------------------------------------------------------------ for-loop [65] 100.0% [74] 11886(38.0%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [83] 100.0% ------------------------------------------------------------------------------ ??? [66] 100.0% [75] 6992(22.3%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [84] 56.5% errors [97] 32.1% loop [88] 8.6% map [134] 2.8% ------------------------------------------------------------------------------ ??? [68] 100.0% [76] 1466(4.7%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [85] 100.0% ------------------------------------------------------------------------------ for-loop [69] 100.0% [77] 1212(3.9%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [86] 100.0% ------------------------------------------------------------------------------ ...ow-val-first.rkt:486:18 [70] 100.0% [78] 602(1.9%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [87] 100.0% ------------------------------------------------------------------------------ err-lsts->split-indices [71] 100.0% [79] 400(1.3%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [89] 100.0% ------------------------------------------------------------------------------ sort-context-on-expr [72] 100.0% [80] 202(0.6%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [90] 100.0% ------------------------------------------------------------------------------ ??? [73] 100.0% [81] 200(0.6%) 200(0.6%) bigvalue? ...ie/findroot/src/syntax/types.rkt:19:0 ------------------------------------------------------------------------------ ??? [66] 100.0% [82] 200(0.6%) 0(0.0%) atab-add-altns ...root/src/core/alt-table.rkt:40:0 atab-add-altn [84] 100.0% ------------------------------------------------------------------------------ taylor-alt [74] 100.0% [83] 11886(38.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [114] 100.0% ------------------------------------------------------------------------------ atab-add-altns [82] 4.8% for-loop [75] 95.2% [84] 4152(13.3%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [97] 95.0% append-at-pnts [94] 5.0% ------------------------------------------------------------------------------ egraph-run [76] 100.0% [85] 1466(4.7%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [91] 100.0% ------------------------------------------------------------------------------ rewrite-expression-head24 [77] 34.0% matcher [163] 66.0% [86] 1212(3.9%) 200(0.6%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [92] 94.5% ------------------------------------------------------------------------------ ??? [78] 100.0% [87] 602(1.9%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [93] 100.0% ------------------------------------------------------------------------------ for-loop [75] 100.0% [88] 598(1.9%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 map [134] 66.6% loop [96] 33.4% ------------------------------------------------------------------------------ loop [79] 100.0% [89] 400(1.3%) 400(1.3%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 ------------------------------------------------------------------------------ ??? [80] 100.0% [90] 202(0.6%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [95] 100.0% ------------------------------------------------------------------------------ egraph-add-exprs [85] 100.0% [91] 1466(4.7%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [98] 85.8% egg-run-rules [100] 14.2% ------------------------------------------------------------------------------ rewriter [86] 100.0% [92] 1212(3.9%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [150] 83.0% for-loop [99] 17.0% ------------------------------------------------------------------------------ loop [87] 100.0% [93] 602(1.9%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [97] 100.0% ------------------------------------------------------------------------------ atab-add-altn [84] 100.0% [94] 206(0.7%) 0(0.0%) append-at-pnts ...oot/src/core/alt-table.rkt:137:0 loop [102] 100.0% ------------------------------------------------------------------------------ generic-sort/key [90] 25.0% copying-mergesort [95] 75.0% [95] 202(0.6%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [95] 75.0% jloop [101] 25.0% ------------------------------------------------------------------------------ loop [88] 7.7% loop [96] 92.3% [96] 200(0.6%) 200(0.6%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [96] 92.3% ------------------------------------------------------------------------------ ??? [93] 6.6% .../more-scheme.rkt:261:28 [39] 7.2% for-loop [67] 17.9% for-loop [75] 24.8% atab-add-altn [84] 43.5% [97] 9066(29.0%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [103] 48.0% temp85_0 [106] 47.5% loop [102] 2.3% eval-prog [104] 2.2% ------------------------------------------------------------------------------ ??? [91] 100.0% [98] 1258(4.0%) 1258(4.0%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------------ for-loop [92] 100.0% [99] 412(1.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [105] 100.0% ------------------------------------------------------------------------------ ??? [91] 100.0% [100] 208(0.7%) 208(0.7%) egg-run-rules ...droot/src/core/simplify.rkt:108:0 ------------------------------------------------------------------------------ copying-mergesort [95] 100.0% [101] 202(0.6%) 202(0.6%) jloop ...5/collects/racket/private/sort.rkt:120:23 ------------------------------------------------------------------------------ append-at-pnts [94] 0.0% errors [97] 0.2% infer-splitpoints [51] 0.6% .../more-scheme.rkt:261:28 [39] 1.2% gf [185] 2.1% temp91_0 [124] 2.4% lambda-clause-expander [151] 3.1% eval-const-expr [34] 4.8% ??? [16] 5.3% ??? [57] 6.8% for-loop [167] 7.5% apply-transformer52 [176] 8.6% for-loop [52] 11.8% loop [102] 18.4% syntax-e/no-taint [23] 27.4% [102] 8410(26.9%) 1864(6.0%) loop (unknown source) gf [185] 28.1% loop [102] 18.4% expand-id-application-form17 [152] 7.5% sample-multi-bounded [107] 6.8% ??? [108] 5.8% expand-capturing-lifts [141] 4.9% hash-ref! [150] 3.9% core-form-sym [109] 3.6% dispatch-transformer41 [171] 3.1% syntax-e [7] 2.6% temp85_0 [106] 1.2% all-critical-subexpressions [110] 0.6% ------------------------------------------------------------------------------ errors [97] 100.0% [103] 4350(13.9%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [39] 100.0% ------------------------------------------------------------------------------ errors [97] 30.5% eval-const-expr [34] 69.5% [104] 662(2.1%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 hash-ref! [150] 67.7% inductor [111] 32.3% ------------------------------------------------------------------------------ for-loop [99] 100.0% [105] 412(1.3%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-match [112] 50.0% for-loop [113] 50.0% ------------------------------------------------------------------------------ loop [102] 2.0% errors [97] 43.7% eval-const-expr [34] 54.3% [106] 9858(31.5%) 0(0.0%) temp85_0 (unknown source) compile15 [115] 100.0% ------------------------------------------------------------------------------ loop [102] 49.7% ??? [57] 50.3% [107] 1614(5.2%) 200(0.6%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [116] 87.6% ------------------------------------------------------------------------------ loop [102] 100.0% [108] 1010(3.2%) 200(0.6%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [114] 20.6% ??? [117] 20.0% ??? [122] 19.8% *bit-width* [118] 19.8% ------------------------------------------------------------------------------ loop [102] 100.0% [109] 404(1.3%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [25] 100.0% ------------------------------------------------------------------------------ loop [102] 100.0% [110] 216(0.7%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:74:0 for-loop [120] 100.0% ------------------------------------------------------------------------------ eval-prog [104] 100.0% [111] 214(0.7%) 0(0.0%) inductor ...herbie/findroot/src/programs.rkt:103:4 table-ref [121] 100.0% ------------------------------------------------------------------------------ fix-up-variables [105] 100.0% [112] 206(0.7%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 for-loop [119] 100.0% ------------------------------------------------------------------------------ fix-up-variables [105] 100.0% [113] 206(0.7%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:41:9 for-loop [119] 100.0% ------------------------------------------------------------------------------ real->precision [64] 1.4% ??? [108] 1.5% loop [19] 2.4% loop [56] 4.3% .../more-scheme.rkt:261:28 [39] 7.5% ??? [3] 16.8% location-do [123] 33.0% for-loop [83] 33.0% [114] 13946(44.6%) 1258(4.0%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [123] 33.0% approximate9 [2] 32.3% hash-ref! [150] 19.3% ival-mult [128] 4.3% bf [133] 1.4% f40 [125] 0.7% ------------------------------------------------------------------------------ temp85_0 [106] 100.0% [115] 9858(31.5%) 0(0.0%) compile15 (unknown source) temp91_0 [124] 100.0% ------------------------------------------------------------------------------ sample-multi-bounded [107] 100.0% [116] 1414(4.5%) 406(1.3%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [127] 57.1% dict? [132] 14.1% ------------------------------------------------------------------------------ ??? [108] 19.3% .../more-scheme.rkt:261:28 [39] 80.7% [117] 1046(3.3%) 1046(3.3%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ------------------------------------------------------------------------------ ??? [108] 24.2% .../more-scheme.rkt:261:28 [39] 75.8% [118] 828(2.6%) 424(1.4%) *bit-width* .../herbie/findroot/src/float.rkt:34:0 return/no-unsupplied [129] 24.4% ??? [131] 24.4% ------------------------------------------------------------------------------ for-loop [113] 50.0% pattern-match [112] 50.0% [119] 412(1.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 return/no-unsupplied [129] 50.0% assoc-set [130] 50.0% ------------------------------------------------------------------------------ all-critical-subexpressions [110] 100.0% [120] 216(0.7%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:81:2 ??? [126] 100.0% ------------------------------------------------------------------------------ inductor [111] 100.0% [121] 214(0.7%) 214(0.7%) table-ref ...s/herbie/findroot/src/common.rkt:33:0 ------------------------------------------------------------------------------ ??? [108] 100.0% [122] 200(0.6%) 200(0.6%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ------------------------------------------------------------------------------ location-do [123] 40.0% ??? [114] 60.0% [123] 11886(38.0%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [114] 60.0% location-do [123] 40.0% ------------------------------------------------------------------------------ compile15 [115] 100.0% [124] 9858(31.5%) 0(0.0%) temp91_0 (unknown source) temp118_0 [135] 83.6% compile-top9 [136] 14.4% loop [102] 2.0% ------------------------------------------------------------------------------ taylor-quotient [35] 0.8% taylor-exp [170] 1.2% ??? [114] 1.6% hash-ref! [150] 45.3% map [134] 51.1% [125] 6178(19.7%) 0(0.0%) f40 (unknown source) map [134] 100.0% ------------------------------------------------------------------------------ for-loop [32] 19.5% for-loop [120] 21.1% loop [56] 59.4% [126] 1024(3.3%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [137] 59.4% f238 [138] 40.6% ------------------------------------------------------------------------------ random-ranges [116] 100.0% [127] 808(2.6%) 400(1.3%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [139] 50.5% ------------------------------------------------------------------------------ ??? [114] 100.0% [128] 602(1.9%) 200(0.6%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfadd [144] 66.8% ------------------------------------------------------------------------------ *bit-width* [118] 49.5% for-loop [119] 50.5% [129] 408(1.3%) 206(0.7%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 filter [140] 49.5% ------------------------------------------------------------------------------ for-loop [119] 100.0% [130] 206(0.7%) 206(0.7%) assoc-set ...collects/racket/private/dict.rkt:79:0 ------------------------------------------------------------------------------ *bit-width* [118] 100.0% [131] 202(0.6%) 202(0.6%) ??? ...ects/racket/contract/private/prop.rkt:301:4 ------------------------------------------------------------------------------ random-ranges [116] 100.0% [132] 200(0.6%) 200(0.6%) dict? ...ollects/racket/private/generic.rkt:146:11 ------------------------------------------------------------------------------ ??? [114] 100.0% [133] 200(0.6%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [156] 100.0% ------------------------------------------------------------------------------ for-loop [75] 2.1% gather-multiplicative-terms [147] 2.1% loop [88] 4.1% taylor [161] 29.0% f40 [125] 62.7% [134] 9598(30.7%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 f40 [125] 32.9% taylor [161] 25.1% parse-loop74 [20] 13.7% f61 [8] 4.6% loop [148] 4.1% simplify* [142] 4.1% simplify-node [13] 3.2% taylor-invert [10] 3.2% ??? [145] 2.4% gather-multiplicative-terms [147] 2.1% loop [165] 2.1% make-multiplication-node [181] 1.8% taylor-quotient [35] 0.7% ------------------------------------------------------------------------------ temp91_0 [124] 100.0% [135] 8238(26.3%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [141] 97.6% datum->syntax6 [182] 2.4% ------------------------------------------------------------------------------ temp91_0 [124] 100.0% [136] 1420(4.5%) 200(0.6%) compile-top9 (unknown source) compile-forms33 [143] 85.9% ------------------------------------------------------------------------------ ??? [126] 100.0% [137] 608(1.9%) 0(0.0%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfadd [144] 100.0% ------------------------------------------------------------------------------ ??? [126] 34.0% f238 [138] 66.0% [138] 416(1.3%) 216(0.7%) f238 (unknown source) f238 [138] 66.0% do-curry [157] 8.0% ------------------------------------------------------------------------------ cons/c [127] 100.0% [139] 408(1.3%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [146] 100.0% ------------------------------------------------------------------------------ for-loop [55] 49.8% return/no-unsupplied [129] 50.2% [140] 402(1.3%) 202(0.6%) filter ...5/collects/racket/private/list.rkt:256:2 ??? [149] 49.8% ------------------------------------------------------------------------------ loop [102] 9.1% temp118_0 [135] 90.9% [141] 8846(28.3%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [151] 81.8% dispatch-transformer41 [171] 13.7% expand-id-application-form17 [152] 4.5% ------------------------------------------------------------------------------ parse-loop74 [20] 12.2% taylor-invert [10] 12.7% hash-ref! [150] 25.6% map [134] 49.6% [142] 1628(5.2%) 1022(3.3%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 hash-ref! [150] 37.2% ------------------------------------------------------------------------------ compile-top9 [136] 100.0% [143] 1220(3.9%) 0(0.0%) compile-forms33 (unknown source) for-loop [167] 100.0% ------------------------------------------------------------------------------ ival-mult [128] 39.8% ival-add [137] 60.2% [144] 1010(3.2%) 206(0.7%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [153] 59.8% new-mpfr [156] 19.8% ------------------------------------------------------------------------------ map [134] 100.0% [145] 800(2.6%) 400(1.3%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 for-loop [158] 50.0% ------------------------------------------------------------------------------ coerce-contract [139] 100.0% [146] 408(1.3%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [155] 100.0% ------------------------------------------------------------------------------ map [134] 25.0% simplify-node [13] 75.0% [147] 400(1.3%) 200(0.6%) gather-multiplicative-terms ...re/reduce.rkt:110:0 do-curry [157] 50.0% map [134] 25.0% ------------------------------------------------------------------------------ map [134] 4.4% loop [148] 95.6% [148] 398(1.3%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [148] 95.6% ??? [159] 4.4% ------------------------------------------------------------------------------ filter [140] 100.0% [149] 200(0.6%) 0(0.0%) ??? .../herbie/findroot/src/core/regimes.rkt:48:35 free-variables [154] 100.0% ------------------------------------------------------------------------------ eval-prog [104] 0.3% for-loop [30] 0.4% for-loop [41] 0.6% loop [102] 1.6% ??? [37] 1.6% for-loop [26] 1.9% ??? [162] 3.0% simplify* [142] 3.6% for-loop [27] 4.5% for-loop [92] 5.2% for-loop [22] 6.7% ??? [4] 7.4% loop [19] 8.0% for-loop [21] 10.0% ??? [114] 10.1% first-nonzero-exp [40] 16.0% ??? [3] 16.9% [150] 12496(39.9%) 1208(3.9%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [3] 24.9% f40 [125] 11.6% parse-loop74 [20] 10.2% ??? [5] 10.0% matcher [163] 9.2% ??? [6] 8.1% ??? [4] 7.6% ??? [162] 3.0% taylor [161] 2.6% ??? [9] 2.3% simplify-node [13] 1.7% ??? [16] 1.7% ??? [14] 0.6% simplify* [142] 0.3% f61 [8] 0.2% ------------------------------------------------------------------------------ expand-capturing-lifts [141] 100.0% [151] 7232(23.1%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [160] 94.3% loop [102] 5.7% ------------------------------------------------------------------------------ expand-capturing-lifts [141] 27.4% loop [102] 72.6% [152] 1458(4.7%) 200(0.6%) expand-id-application-form17 (unknown source) syntax-e/no-taint [23] 58.7% resolve+shift28 [25] 13.9% binding-lookup52 [166] 13.7% ------------------------------------------------------------------------------ loop [56] 24.9% bfadd [144] 75.1% [153] 804(2.6%) 804(2.6%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------------ ??? [149] 2.8% composed [29] 37.2% append-map [164] 60.1% [154] 604(1.9%) 200(0.6%) free-variables ...e/findroot/src/programs.rkt:56:0 append-map [164] 93.5% ??? [66] 3.7% ------------------------------------------------------------------------------ coerce-contract/f [146] 100.0% [155] 408(1.3%) 408(1.3%) coerce-simple-value ...ract/private/guts.rkt:385:0 ------------------------------------------------------------------------------ bfadd [144] 50.0% bf [133] 50.0% [156] 400(1.3%) 400(1.3%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------------ f238 [138] 50.0% gather-multiplicative-terms [147] 50.0% [157] 400(1.3%) 400(1.3%) do-curry ...-7.5/collects/racket/function.rkt:71:2 ------------------------------------------------------------------------------ ??? [145] 100.0% [158] 400(1.3%) 400(1.3%) for-loop ...rbie/findroot/src/core/reduce.rkt:58:7 ------------------------------------------------------------------------------ loop [148] 100.0% [159] 398(1.3%) 0(0.0%) ??? ...rbie/findroot/src/core/alt-table.rkt:185:12 loop [165] 100.0% ------------------------------------------------------------------------------ lambda-clause-expander [151] 24.1% for-loop [167] 75.9% [160] 6822(21.8%) 0(0.0%) finish-bodys (unknown source) for-loop [167] 100.0% ------------------------------------------------------------------------------ approximate9 [2] 2.3% hash-ref! [150] 15.4% for-loop [24] 15.8% map [134] 30.9% taylor [161] 35.6% [161] 4040(12.9%) 202(0.6%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 map [134] 37.3% taylor [161] 35.6% taylor-quotient [35] 11.3% debug-print [169] 6.0% taylor-exp [170] 5.0% taylor-invert [10] 1.7% taylor-cbrt [17] 0.8% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [162] 3778(12.1%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [150] 100.0% ------------------------------------------------------------------------------ hash-ref! [150] 100.0% [163] 1212(3.9%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [11] 50.5% rewriter [86] 49.5% ------------------------------------------------------------------------------ gather-additive-terms6 [31] 17.0% simplify-node [13] 33.2% free-variables [154] 49.8% [164] 1212(3.9%) 202(0.6%) append-map ...t-7.5/collects/racket/list.rkt:586:2 parse-loop368 [168] 33.7% free-variables [154] 33.2% parse-loop389 [173] 16.5% ------------------------------------------------------------------------------ map [134] 0.9% ??? [159] 22.3% loop [165] 76.8% [165] 596(1.9%) 596(1.9%) loop ...7.5/collects/racket/private/list.rkt:82:16 loop [165] 76.8% ------------------------------------------------------------------------------ expand-id-application-form17 [152] 50.0% expand-implicit [15] 50.0% [166] 400(1.3%) 400(1.3%) binding-lookup52 (unknown source) ------------------------------------------------------------------------------ fallback-loop [36] 2.5% compile-forms33 [143] 14.8% for-loop [167] 16.0% finish-bodys [160] 66.7% [167] 8244(26.3%) 2620(8.4%) for-loop (unknown source) finish-bodys [160] 52.4% for-loop [167] 16.0% compile-module-linklet57 [172] 14.8% dispatch-transformer41 [171] 3.6% syntax-e [7] 2.4% expand-implicit [15] 0.9% loop [102] 0.9% dispatch-variable [175] 0.7% expand-identifier [12] 0.5% ------------------------------------------------------------------------------ append-map [164] 100.0% [168] 408(1.3%) 0(0.0%) parse-loop368 (unknown source) parse-loop389 [173] 50.5% make-multiplication-node [181] 49.5% ------------------------------------------------------------------------------ taylor [161] 100.0% [169] 402(1.3%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ??? [174] 100.0% ------------------------------------------------------------------------------ for-loop [24] 50.0% taylor [161] 50.0% [170] 400(1.3%) 0(0.0%) taylor-exp ...e/findroot/src/core/taylor.rkt:400:0 f40 [125] 100.0% ------------------------------------------------------------------------------ loop [102] 14.3% expand-capturing-lifts [141] 42.5% for-loop [167] 43.2% [171] 2858(9.1%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [176] 100.0% ------------------------------------------------------------------------------ for-loop [167] 100.0% [172] 1220(3.9%) 1220(3.9%) compile-module-linklet57 (unknown source) ------------------------------------------------------------------------------ append-map [164] 49.3% parse-loop368 [168] 50.7% [173] 406(1.3%) 0(0.0%) parse-loop389 (unknown source) for-loop [177] 100.0% ------------------------------------------------------------------------------ debug-print [169] 100.0% [174] 402(1.3%) 200(0.6%) ??? .../contract/private/arrow-val-first.rkt:555:3 mk-call [179] 50.2% ------------------------------------------------------------------------------ for-loop [167] 100.0% [175] 272(0.9%) 0(0.0%) dispatch-variable (unknown source) substitute-variable6 [178] 100.0% ------------------------------------------------------------------------------ dispatch-transformer41 [171] 100.0% [176] 2858(9.1%) 406(1.3%) apply-transformer52 (unknown source) loop [102] 42.1% apply-transformer-in-context [180] 29.5% apply-post-expansion [183] 14.2% ------------------------------------------------------------------------------ parse-loop389 [173] 100.0% [177] 406(1.3%) 0(0.0%) for-loop ...bie/findroot/src/core/reduce.rkt:95:13 make-multiplication-node [181] 50.7% simplify-node [13] 49.3% ------------------------------------------------------------------------------ dispatch-variable [175] 100.0% [178] 272(0.9%) 0(0.0%) substitute-variable6 (unknown source) datum->syntax6 [182] 100.0% ------------------------------------------------------------------------------ ??? [174] 100.0% [179] 202(0.6%) 0(0.0%) mk-call ...tract/private/arrow-val-first.rkt:558:5 loop [184] 100.0% ------------------------------------------------------------------------------ apply-transformer52 [176] 100.0% [180] 842(2.7%) 636(2.0%) apply-transformer-in-context (unknown source) parse-lambda [187] 24.5% ------------------------------------------------------------------------------ parse-loop368 [168] 24.5% for-loop [177] 25.0% map [134] 50.5% [181] 824(2.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:232:0 make-multiplication-subnode [186] 100.0% ------------------------------------------------------------------------------ temp118_0 [135] 42.4% substitute-variable6 [178] 57.6% [182] 472(1.5%) 472(1.5%) datum->syntax6 (unknown source) ------------------------------------------------------------------------------ apply-transformer52 [176] 100.0% [183] 406(1.3%) 0(0.0%) apply-post-expansion (unknown source) gf [185] 100.0% ------------------------------------------------------------------------------ mk-call [179] 100.0% [184] 202(0.6%) 0(0.0%) loop ...contract/private/arrow-val-first.rkt:562:8 ??? [188] 100.0% ------------------------------------------------------------------------------ apply-post-expansion [183] 6.5% loop [102] 93.5% [185] 3506(11.2%) 600(1.9%) gf (unknown source) propagation-apply [189] 65.6% loop [102] 10.7% cache-or-reuse-set [193] 5.7% syntax-e/no-taint [23] 0.8% ------------------------------------------------------------------------------ make-multiplication-node [181] 100.0% [186] 824(2.6%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:242:0 for-loop [190] 75.5% group-by61 [191] 24.5% ------------------------------------------------------------------------------ apply-transformer-in-context [180] 100.0% [187] 206(0.7%) 206(0.7%) parse-lambda ...llects/racket/private/kw.rkt:619:2 ------------------------------------------------------------------------------ loop [184] 100.0% [188] 202(0.6%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:567:4 ??? [192] 100.0% ------------------------------------------------------------------------------ gf [185] 100.0% [189] 2300(7.4%) 2300(7.4%) propagation-apply (unknown source) ------------------------------------------------------------------------------ make-multiplication-subnode [186] 100.0% [190] 622(2.0%) 216(0.7%) for-loop ...bie/findroot/src/core/reduce.rkt:244:3 mterm->expr [195] 33.1% make-multiplication-subsubsubnode [194] 32.2% ------------------------------------------------------------------------------ make-multiplication-subnode [186] 100.0% [191] 202(0.6%) 202(0.6%) group-by61 ...t-7.5/collects/racket/list.rkt:771:0 ------------------------------------------------------------------------------ ??? [188] 100.0% [192] 202(0.6%) 202(0.6%) ??? ...ects/racket/contract/private/list.rkt:690:0 ------------------------------------------------------------------------------ gf [185] 100.0% [193] 200(0.6%) 200(0.6%) cache-or-reuse-set (unknown source) ------------------------------------------------------------------------------ for-loop [190] 100.0% [194] 200(0.6%) 0(0.0%) make-multiplication-subsubsubnode ...uce.rkt:264:0 mterm->expr [195] 100.0% ------------------------------------------------------------------------------ make-multiplication-subsubsubnode [194] 49.3% for-loop [190] 50.7% [195] 406(1.3%) 200(0.6%) mterm->expr .../findroot/src/core/reduce.rkt:272:0 type-of [196] 50.7% ------------------------------------------------------------------------------ mterm->expr [195] 100.0% [196] 206(0.7%) 206(0.7%) type-of ...herbie/findroot/src/type-check.rkt:36:0 ------------------------------------------------------------------------------