Profiling results ----------------- Total cpu time observed: 25164ms (out of 25340ms) Number of samples taken: 121 (once every 208ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 93 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 25164(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [5] 100.0% ------------------------------------------------------------------------ ??? [55] 100.0% [2] 338(1.3%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [7] 100.0% ------------------------------------------------------------------------ for-loop [90] 100.0% [3] 218(0.9%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [6] 100.0% ------------------------------------------------------------------------ for-loop [90] 100.0% [4] 200(0.8%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [8] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [5] 25164(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ------------------------------------------------------------------------ expand-id-application-form17 [91] 47.8% syntax-e [3] 52.2% [6] 418(1.7%) 0(0.0%) syntax-e/no-taint (unknown source) loop [20] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [7] 338(1.3%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [55] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [4] 100.0% [8] 200(0.8%) 0(0.0%) apply-transformer52 (unknown source) loop [20] 100.0% ------------------------------------------------------------------------ profile-thunk16 [5] 100.0% [9] 25164(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [10] 100.0% ------------------------------------------------------------------------ for-loop [62] 1.6% run [9] 98.4% [10] 25164(100.0%) 410(1.6%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [14] 84.6% run-improve47 [11] 9.7% oracle-error [12] 1.6% get-final-combination [13] 0.9% errors [56] 0.8% ??? [36] 0.8% ??? [55] 0.4% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [10] 100.0% [11] 2640(10.5%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [15] 66.0% prepare-points-intervals [14] 23.5% simplify! [23] 10.5% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [10] 100.0% [12] 400(1.6%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [16] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [10] 100.0% [13] 218(0.9%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [17] 100.0% ------------------------------------------------------------------------ run-improve47 [11] 2.8% .../more-scheme.rkt:261:28 [10] 97.2% [14] 21920(87.1%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [18] 100.0% ------------------------------------------------------------------------ run-improve47 [11] 100.0% [15] 1742(6.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [19] 100.0% ------------------------------------------------------------------------ oracle-error [12] 100.0% [16] 400(1.6%) 200(0.8%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [20] 50.0% ------------------------------------------------------------------------ get-final-combination [13] 100.0% [17] 218(0.9%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [21] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [14] 100.0% [18] 21920(87.1%) 824(3.3%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [22] 91.6% ??? [25] 2.8% ------------------------------------------------------------------------ for-loop [15] 100.0% [19] 1742(6.9%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [24] 45.9% simplify! [23] 34.7% gen-series! [27] 19.4% ------------------------------------------------------------------------ for-loop [90] 12.2% apply-transformer52 [8] 24.4% for-loop [16] 24.4% syntax-e/no-taint [6] 38.9% [20] 818(3.3%) 0(0.0%) loop (unknown source) gf [26] 38.9% ??? [29] 24.4% core-form-sym [30] 24.4% expand-id-application-form17 [91] 12.2% ------------------------------------------------------------------------ infer-splitpoints [17] 100.0% [21] 218(0.9%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [28] 100.0% ------------------------------------------------------------------------ loop [18] 100.0% [22] 20074(79.8%) 4466(17.7%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [55] 37.6% ??? [31] 32.9% real->precision [32] 5.2% ??? [81] 2.1% ------------------------------------------------------------------------ run-improve47 [11] 31.5% run-iter! [19] 68.5% [23] 882(3.5%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [33] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [24] 800(3.2%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [34] 100.0% ------------------------------------------------------------------------ loop [18] 100.0% [25] 622(2.5%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [35] 100.0% ------------------------------------------------------------------------ loop [20] 100.0% [26] 418(1.7%) 0(0.0%) gf (unknown source) propagation-apply [38] 52.2% propagation-apply-shifted [39] 47.8% ------------------------------------------------------------------------ run-iter! [19] 100.0% [27] 338(1.3%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [37] 100.0% ------------------------------------------------------------------------ for-loop [21] 100.0% [28] 218(0.9%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 temp85_0 [60] 100.0% ------------------------------------------------------------------------ loop [20] 100.0% [29] 200(0.8%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [36] 100.0% ------------------------------------------------------------------------ loop [20] 100.0% [30] 200(0.8%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [40] 100.0% ------------------------------------------------------------------------ loop [22] 100.0% [31] 6604(26.2%) 3122(12.4%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-asin [41] 34.0% ival-atan [42] 18.7% ------------------------------------------------------------------------ loop [22] 100.0% [32] 1044(4.1%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [55] 61.7% ??? [46] 38.3% ------------------------------------------------------------------------ simplify! [23] 100.0% [33] 882(3.5%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [43] 100.0% ------------------------------------------------------------------------ finalize-iter! [24] 100.0% [34] 800(3.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [44] 100.0% ------------------------------------------------------------------------ ??? [25] 100.0% [35] 622(2.5%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [45] 100.0% ------------------------------------------------------------------------ ??? [29] 33.6% .../more-scheme.rkt:261:28 [10] 66.4% [36] 596(2.4%) 596(2.4%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ------------------------------------------------------------------------ gen-series! [27] 100.0% [37] 338(1.3%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [47] 100.0% ------------------------------------------------------------------------ gf [26] 100.0% [38] 218(0.9%) 218(0.9%) propagation-apply (unknown source) ------------------------------------------------------------------------ gf [26] 100.0% [39] 200(0.8%) 200(0.8%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------ core-form-sym [30] 100.0% [40] 200(0.8%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [48] 100.0% ------------------------------------------------------------------------ ??? [31] 100.0% [41] 2248(8.9%) 2048(8.1%) ival-asin ...ie/findroot/src/biginterval.rkt:362:0 bfasin [51] 8.9% ------------------------------------------------------------------------ ??? [31] 100.0% [42] 1234(4.9%) 826(3.3%) ival-atan ...ie/findroot/src/biginterval.rkt:330:0 bfasin [51] 33.1% ------------------------------------------------------------------------ ??? [33] 100.0% [43] 882(3.5%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [49] 100.0% ------------------------------------------------------------------------ ??? [34] 100.0% [44] 800(3.2%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [53] 50.0% errors [56] 50.0% ------------------------------------------------------------------------ sample-multi-bounded [35] 100.0% [45] 622(2.5%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [50] 100.0% ------------------------------------------------------------------------ real->precision [32] 100.0% [46] 400(1.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:770:8 bigvalue? [52] 100.0% ------------------------------------------------------------------------ for-loop [37] 100.0% [47] 338(1.3%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [54] 100.0% ------------------------------------------------------------------------ resolve+shift28 [40] 100.0% [48] 200(0.8%) 0(0.0%) fallback-loop (unknown source) for-loop [90] 100.0% ------------------------------------------------------------------------ egraph-run [43] 100.0% [49] 882(3.5%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [57] 100.0% ------------------------------------------------------------------------ random-ranges [45] 100.0% [50] 622(2.5%) 220(0.9%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [58] 64.6% ------------------------------------------------------------------------ ival-asin [41] 32.9% ival-atan [42] 67.1% [51] 608(2.4%) 200(0.8%) bfasin ...lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [82] 34.2% ??? [81] 32.9% ------------------------------------------------------------------------ ??? [46] 100.0% [52] 400(1.6%) 400(1.6%) bigvalue? ...ie/findroot/src/syntax/types.rkt:19:0 ------------------------------------------------------------------------ for-loop [44] 100.0% [53] 400(1.6%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [56] 100.0% ------------------------------------------------------------------------ taylor-alt [47] 100.0% [54] 338(1.3%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [55] 100.0% ------------------------------------------------------------------------ loop [7] 1.3% location-do [66] 1.3% for-loop [54] 1.3% .../more-scheme.rkt:261:28 [10] 2.3% real->precision [32] 7.4% loop [22] 86.4% [55] 8722(34.7%) 822(3.3%) ??? ...tract/private/arrow-higher-order.rkt:375:33 ival-pow-pos [69] 32.8% ival-fmod-pos [70] 20.4% ival-pow-neg [59] 16.6% ival-fmod [63] 7.2% ival-mult [64] 7.2% bf [68] 2.5% location-do [66] 1.3% approximate9 [2] 1.3% hash-ref! [67] 1.3% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [10] 33.2% for-loop [44] 33.4% atab-add-altn [53] 33.4% [56] 1198(4.8%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [62] 66.6% temp85_0 [60] 33.4% ------------------------------------------------------------------------ egraph-add-exprs [49] 100.0% [57] 882(3.5%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [61] 100.0% ------------------------------------------------------------------------ build--> [50] 100.0% [58] 402(1.6%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [65] 100.0% ------------------------------------------------------------------------ ??? [55] 100.0% [59] 1444(5.7%) 812(3.2%) ival-pow-neg ...findroot/src/biginterval.rkt:245:0 bfodd? [72] 28.3% ival-pow-pos [69] 15.5% ------------------------------------------------------------------------ option-on-expr [28] 22.8% eval-const-expr [88] 35.4% errors [56] 41.8% [60] 956(3.8%) 0(0.0%) temp85_0 (unknown source) compile15 [71] 100.0% ------------------------------------------------------------------------ ??? [57] 100.0% [61] 882(3.5%) 882(3.5%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ errors [56] 100.0% [62] 798(3.2%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [10] 100.0% ------------------------------------------------------------------------ ??? [55] 100.0% [63] 630(2.5%) 0(0.0%) ival-fmod ...ie/findroot/src/biginterval.rkt:425:0 ival-fmod-pos [70] 67.0% ival-fabs [76] 33.0% ------------------------------------------------------------------------ ??? [55] 100.0% [64] 624(2.5%) 0(0.0%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [77] 100.0% ------------------------------------------------------------------------ coerce-contract [58] 100.0% [65] 402(1.6%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [73] 100.0% ------------------------------------------------------------------------ location-do [66] 50.0% ??? [55] 50.0% [66] 338(1.3%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [66] 50.0% ??? [55] 50.0% ------------------------------------------------------------------------ ??? [75] 50.0% ??? [55] 50.0% [67] 338(1.3%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [75] 50.0% f40 [74] 50.0% ------------------------------------------------------------------------ ??? [55] 100.0% [68] 222(0.9%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [82] 100.0% ------------------------------------------------------------------------ ival-pow-neg [59] 7.3% ??? [55] 92.7% [69] 3086(12.3%) 2662(10.6%) ival-pow-pos ...findroot/src/biginterval.rkt:224:0 bfmul [77] 13.7% ------------------------------------------------------------------------ ival-fmod [63] 19.2% ??? [55] 80.8% [70] 2202(8.8%) 198(0.8%) ival-fmod-pos ...indroot/src/biginterval.rkt:407:0 bfmul [77] 72.8% bftruncate [79] 18.2% ------------------------------------------------------------------------ temp85_0 [60] 100.0% [71] 956(3.8%) 0(0.0%) compile15 (unknown source) temp91_0 [78] 100.0% ------------------------------------------------------------------------ ival-pow-neg [59] 100.0% [72] 408(1.6%) 206(0.8%) bfodd? ...lib/math/private/bigfloat/mpfr.rkt:817:0 ??? [81] 49.5% ------------------------------------------------------------------------ coerce-contract/f [65] 100.0% [73] 402(1.6%) 402(1.6%) coerce-simple-value ...ract/private/guts.rkt:385:0 ------------------------------------------------------------------------ hash-ref! [67] 100.0% [74] 338(1.3%) 0(0.0%) f40 (unknown source) map [80] 100.0% ------------------------------------------------------------------------ hash-ref! [67] 100.0% [75] 338(1.3%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [67] 100.0% ------------------------------------------------------------------------ ival-fmod [63] 100.0% [76] 208(0.8%) 0(0.0%) ival-fabs ...ie/findroot/src/biginterval.rkt:378:0 bfmul [77] 100.0% ------------------------------------------------------------------------ ival-fabs [76] 7.3% ival-pow-pos [69] 14.8% ival-mult [64] 21.8% ival-fmod-pos [70] 56.1% [77] 2860(11.4%) 200(0.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [81] 50.6% new-mpfr [82] 42.4% ------------------------------------------------------------------------ compile15 [71] 100.0% [78] 956(3.8%) 0(0.0%) temp91_0 (unknown source) temp118_0 [83] 100.0% ------------------------------------------------------------------------ ival-fmod-pos [70] 100.0% [79] 400(1.6%) 0(0.0%) bftruncate ...math/private/bigfloat/mpfr.rkt:730:4 new-mpfr [82] 100.0% ------------------------------------------------------------------------ f40 [74] 100.0% [80] 338(1.3%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop49 [84] 100.0% ------------------------------------------------------------------------ bfasin [51] 8.8% bfodd? [72] 8.9% loop [22] 18.5% bfmul [77] 63.8% [81] 2268(9.0%) 2268(9.0%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ bfasin [51] 10.2% bf [68] 10.9% bftruncate [79] 19.6% bfmul [77] 59.4% [82] 2044(8.1%) 2044(8.1%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------ temp91_0 [78] 100.0% [83] 956(3.8%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [85] 100.0% ------------------------------------------------------------------------ map [80] 100.0% [84] 338(1.3%) 0(0.0%) parse-loop49 (unknown source) f61 [86] 100.0% ------------------------------------------------------------------------ temp118_0 [83] 100.0% [85] 956(3.8%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [87] 100.0% ------------------------------------------------------------------------ parse-loop49 [84] 100.0% [86] 338(1.3%) 0(0.0%) f61 (unknown source) eval-const-expr [88] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [85] 100.0% [87] 956(3.8%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [89] 100.0% ------------------------------------------------------------------------ f61 [86] 100.0% [88] 338(1.3%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [60] 100.0% ------------------------------------------------------------------------ lambda-clause-expander [87] 23.2% for-loop [90] 76.8% [89] 956(3.8%) 0(0.0%) finish-bodys (unknown source) for-loop [90] 100.0% ------------------------------------------------------------------------ fallback-loop [48] 5.2% for-loop [90] 18.9% finish-bodys [89] 75.9% [90] 956(3.8%) 200(0.8%) for-loop (unknown source) finish-bodys [89] 60.3% for-loop [90] 18.9% dispatch-transformer41 [4] 5.2% expand-id-application-form17 [91] 5.1% syntax-e [3] 3.3% loop [20] 2.1% ------------------------------------------------------------------------ loop [20] 37.2% for-loop [90] 62.8% [91] 538(2.1%) 338(1.3%) expand-id-application-form17 (unknown source) syntax-e/no-taint [6] 37.2% ------------------------------------------------------------------------