Profiling results ----------------- Total cpu time observed: 23904ms (out of 24144ms) Number of samples taken: 115 (once every 208ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 183 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 23704(99.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [12] 100.0% ------------------------------------------------------------------------ ??? [87] 100.0% [2] 4680(19.6%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [13] 73.5% for-loop [17] 17.6% taylor [101] 8.9% ------------------------------------------------------------------------ hash-ref! [151] 100.0% [3] 3438(14.4%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [151] 82.5% ??? [23] 17.5% ------------------------------------------------------------------------ hash-ref! [151] 100.0% [4] 3212(13.4%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [87] 72.1% hash-ref! [151] 27.9% ------------------------------------------------------------------------ loop [150] 22.3% for-loop [177] 77.7% [5] 2696(11.3%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [14] 100.0% ------------------------------------------------------------------------ hash-ref! [151] 100.0% [6] 2096(8.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [15] 100.0% ------------------------------------------------------------------------ hash-ref! [151] 100.0% [7] 1008(4.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [16] 100.0% ------------------------------------------------------------------------ for-loop [177] 100.0% [8] 808(3.4%) 200(0.8%) expand-implicit (unknown source) resolve+shift28 [157] 50.5% datum->syntax6 [20] 24.8% ------------------------------------------------------------------------ matcher [164] 100.0% [9] 640(2.7%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [18] 80.0% foldl [19] 20.0% ------------------------------------------------------------------------ taylor [101] 100.0% [10] 210(0.9%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 first-nonzero-exp [120] 100.0% ------------------------------------------------------------------------ for-loop [177] 100.0% [11] 200(0.8%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [157] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [12] 23704(99.2%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [21] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [13] 3438(14.4%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [151] 93.4% ??? [87] 6.6% ------------------------------------------------------------------------ expand-id-application-form17 [153] 18.8% syntax-e [5] 81.2% [14] 3320(13.9%) 0(0.0%) syntax-e/no-taint (unknown source) loop [150] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [15] 2096(8.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [151] 44.4% ??? [23] 36.1% f40 [22] 9.8% f61 [118] 9.6% ------------------------------------------------------------------------ ??? [7] 100.0% [16] 1008(4.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [151] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [17] 826(3.5%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [101] 75.8% taylor-sqrt [112] 24.2% ------------------------------------------------------------------------ ??? [9] 100.0% [18] 640(2.7%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [151] 100.0% ------------------------------------------------------------------------ ??? [9] 100.0% [19] 438(1.8%) 0(0.0%) foldl ....5/collects/racket/private/list.rkt:229:4 ??? [24] 100.0% ------------------------------------------------------------------------ expand-implicit [8] 100.0% [20] 200(0.8%) 0(0.0%) datum->syntax6 (unknown source) loop [150] 100.0% ------------------------------------------------------------------------ profile-thunk16 [12] 100.0% [21] 23704(99.2%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [25] 100.0% ------------------------------------------------------------------------ for-loop [15] 8.1% map [88] 15.6% hash-ref! [151] 76.3% [22] 2534(10.6%) 0(0.0%) f40 (unknown source) map [88] 100.0% ------------------------------------------------------------------------ ??? [163] 8.3% ??? [3] 29.9% for-loop [15] 61.8% [23] 1226(5.1%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [151] 100.0% ------------------------------------------------------------------------ foldl [19] 100.0% [24] 438(1.8%) 0(0.0%) ??? ...s/herbie/findroot/src/core/matcher.rkt:25:7 fallback-update [26] 100.0% ------------------------------------------------------------------------ for-loop [109] 6.1% run [21] 93.9% [25] 23704(99.2%) 808(3.4%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [27] 64.7% prepare-points-intervals [28] 14.3% oracle-error [29] 6.7% get-final-combination [30] 5.2% errors [97] 2.1% ??? [159] 2.1% ??? [87] 1.0% *bit-width* [155] 0.9% loop [150] 0.8% ??? [166] 0.4% ------------------------------------------------------------------------ ??? [24] 100.0% [26] 438(1.8%) 438(1.8%) fallback-update ...s/racket/private/dict.rkt:115:2 ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 100.0% [27] 16696(69.8%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [31] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 100.0% [28] 3392(14.2%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [32] 94.3% eval-prog [113] 5.7% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 100.0% [29] 1588(6.6%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [33] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 100.0% [30] 1244(5.2%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [34] 66.7% f33 [35] 33.3% ------------------------------------------------------------------------ run-improve47 [27] 100.0% [31] 16696(69.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [36] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [28] 100.0% [32] 3200(13.4%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [37] 74.7% ??? [39] 25.3% ------------------------------------------------------------------------ oracle-error [29] 100.0% [33] 1588(6.6%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [150] 74.9% map [88] 25.1% ------------------------------------------------------------------------ get-final-combination [30] 100.0% [34] 830(3.5%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [38] 100.0% ------------------------------------------------------------------------ get-final-combination [30] 100.0% [35] 414(1.7%) 0(0.0%) f33 (unknown source) sindices->spoints [40] 100.0% ------------------------------------------------------------------------ for-loop [31] 100.0% [36] 16696(69.8%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [41] 45.3% gen-series! [42] 28.0% localize! [43] 10.0% simplify! [44] 7.8% gen-rewrites! [45] 5.0% choose-best-alt! [47] 3.8% ------------------------------------------------------------------------ loop [32] 100.0% [37] 2390(10.0%) 200(0.8%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [87] 66.8% ??? [49] 16.4% real->precision [51] 8.5% ------------------------------------------------------------------------ infer-splitpoints [34] 100.0% [38] 830(3.5%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [46] 100.0% ------------------------------------------------------------------------ loop [32] 100.0% [39] 810(3.4%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [48] 75.3% ??? [49] 24.7% ------------------------------------------------------------------------ f33 [35] 100.0% [40] 414(1.7%) 0(0.0%) sindices->spoints ...ot/src/core/regimes.rkt:194:0 for-loop [50] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [41] 7562(31.6%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [52] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [42] 4680(19.6%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [53] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [43] 1674(7.0%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [54] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [44] 1300(5.4%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [55] 80.3% for-loop [61] 19.7% ------------------------------------------------------------------------ run-iter! [36] 100.0% [45] 840(3.5%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [57] 76.2% for-loop [63] 23.8% ------------------------------------------------------------------------ for-loop [38] 100.0% [46] 830(3.5%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 err-lsts->split-indices [59] 51.3% for-loop [60] 48.7% ------------------------------------------------------------------------ run-iter! [36] 100.0% [47] 640(2.7%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [56] 100.0% ------------------------------------------------------------------------ ??? [39] 100.0% [48] 610(2.6%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [58] 100.0% ------------------------------------------------------------------------ ??? [39] 33.8% loop [37] 66.2% [49] 592(2.5%) 200(0.8%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sub [62] 34.1% ival-neg [65] 32.1% ------------------------------------------------------------------------ sindices->spoints [40] 100.0% [50] 414(1.7%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:234:9 pred [72] 53.6% binary-search-floats [64] 46.4% ------------------------------------------------------------------------ loop [37] 100.0% [51] 202(0.8%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [87] 100.0% ------------------------------------------------------------------------ finalize-iter! [41] 100.0% [52] 7562(31.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [66] 97.1% atab-add-altns [73] 2.9% ------------------------------------------------------------------------ gen-series! [42] 100.0% [53] 4680(19.6%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [67] 100.0% ------------------------------------------------------------------------ localize! [43] 100.0% [54] 1674(7.0%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [151] 100.0% ------------------------------------------------------------------------ simplify! [44] 100.0% [55] 1044(4.4%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [68] 100.0% ------------------------------------------------------------------------ choose-best-alt! [47] 100.0% [56] 640(2.7%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [69] 100.0% ------------------------------------------------------------------------ gen-rewrites! [45] 100.0% [57] 640(2.7%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [70] 100.0% ------------------------------------------------------------------------ sample-multi-bounded [48] 100.0% [58] 610(2.6%) 200(0.8%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [74] 34.1% cons/c [75] 33.1% ------------------------------------------------------------------------ option-on-expr [46] 100.0% [59] 426(1.8%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [71] 100.0% ------------------------------------------------------------------------ option-on-expr [46] 100.0% [60] 404(1.7%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [97] 100.0% ------------------------------------------------------------------------ for-loop [61] 50.0% simplify! [44] 50.0% [61] 256(1.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:251:6 for-loop [61] 50.0% ??? [87] 50.0% ------------------------------------------------------------------------ ??? [49] 100.0% [62] 202(0.8%) 0(0.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfsub [111] 100.0% ------------------------------------------------------------------------ gen-rewrites! [45] 100.0% [63] 200(0.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:208:4 for-loop [76] 100.0% ------------------------------------------------------------------------ for-loop [50] 100.0% [64] 192(0.8%) 0(0.0%) binary-search-floats ...src/core/regimes.rkt:176:0 pred [72] 100.0% ------------------------------------------------------------------------ ??? [49] 100.0% [65] 190(0.8%) 0(0.0%) ival-neg ...bie/findroot/src/biginterval.rkt:107:0 bfneg [77] 100.0% ------------------------------------------------------------------------ ??? [52] 100.0% [66] 7346(30.7%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [79] 49.6% errors [97] 39.3% loop [81] 8.4% map [88] 2.7% ------------------------------------------------------------------------ for-loop [53] 100.0% [67] 4680(19.6%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [78] 100.0% ------------------------------------------------------------------------ ??? [55] 100.0% [68] 1044(4.4%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [80] 100.0% ------------------------------------------------------------------------ ...ow-val-first.rkt:486:18 [56] 100.0% [69] 640(2.7%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [83] 68.8% argmin [86] 31.2% ------------------------------------------------------------------------ for-loop [57] 100.0% [70] 640(2.7%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [82] 100.0% ------------------------------------------------------------------------ err-lsts->split-indices [59] 100.0% [71] 426(1.8%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [84] 100.0% ------------------------------------------------------------------------ binary-search-floats [64] 46.4% for-loop [50] 53.6% [72] 414(1.7%) 0(0.0%) pred ...herbie/findroot/src/core/regimes.rkt:204:4 errors [97] 100.0% ------------------------------------------------------------------------ ??? [52] 100.0% [73] 216(0.9%) 0(0.0%) atab-add-altns ...root/src/core/alt-table.rkt:40:0 loop [81] 100.0% ------------------------------------------------------------------------ random-ranges [58] 100.0% [74] 208(0.9%) 208(0.9%) build--> ...act/private/arrow-val-first.rkt:1214:0 ------------------------------------------------------------------------ random-ranges [58] 100.0% [75] 202(0.8%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [85] 100.0% ------------------------------------------------------------------------ for-loop [63] 100.0% [76] 200(0.8%) 200(0.8%) for-loop ...herbie/findroot/src/mainloop.rkt:209:6 ------------------------------------------------------------------------ ival-neg [65] 100.0% [77] 190(0.8%) 0(0.0%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [119] 100.0% ------------------------------------------------------------------------ taylor-alt [67] 100.0% [78] 4680(19.6%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [87] 100.0% ------------------------------------------------------------------------ for-loop [66] 100.0% [79] 3640(15.2%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [97] 89.0% for-loop [93] 11.0% ------------------------------------------------------------------------ egraph-run [68] 100.0% [80] 1044(4.4%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [89] 100.0% ------------------------------------------------------------------------ atab-add-altns [73] 26.0% for-loop [66] 74.0% [81] 832(3.5%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 map [88] 48.1% loop [94] 26.0% loop [95] 26.0% ------------------------------------------------------------------------ rewrite-expression-head24 [70] 30.5% matcher [164] 69.5% [82] 640(2.7%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [90] 100.0% ------------------------------------------------------------------------ ??? [69] 100.0% [83] 440(1.8%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [91] 100.0% ------------------------------------------------------------------------ loop [71] 100.0% [84] 426(1.8%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [92] 100.0% ------------------------------------------------------------------------ cons/c [75] 100.0% [85] 202(0.8%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [96] 100.0% ------------------------------------------------------------------------ ??? [69] 100.0% [86] 200(0.8%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [91] 100.0% ------------------------------------------------------------------------ loop [13] 1.0% real->precision [51] 2.8% for-loop [61] 3.6% loop [110] 6.1% .../more-scheme.rkt:261:28 [25] 6.4% ??? [4] 14.9% location-do [98] 18.5% loop [37] 22.2% for-loop [78] 24.5% [87] 7198(30.1%) 864(3.6%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [98] 28.1% approximate9 [2] 24.5% hash-ref! [151] 15.9% ival-mult [103] 13.8% bf [107] 2.8% ival-div [108] 2.8% ------------------------------------------------------------------------ for-loop [66] 4.9% for-loop [33] 9.6% loop [81] 9.6% taylor [101] 14.8% f40 [22] 61.1% [88] 4146(17.3%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [99] 35.2% loop [102] 24.1% taylor [101] 9.9% f40 [22] 9.5% simplify-node [104] 5.7% f61 [118] 5.4% parse-loop49 [105] 5.2% taylor-sqrt [112] 4.8% ------------------------------------------------------------------------ egraph-add-exprs [80] 100.0% [89] 1044(4.4%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [100] 100.0% ------------------------------------------------------------------------ rewriter [82] 100.0% [90] 640(2.7%) 202(0.8%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [151] 89.5% ------------------------------------------------------------------------ argmin [86] 31.2% loop [83] 68.8% [91] 640(2.7%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [97] 100.0% ------------------------------------------------------------------------ for-loop [84] 100.0% [92] 426(1.8%) 426(1.8%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 ------------------------------------------------------------------------ atab-add-altn [79] 100.0% [93] 400(1.7%) 400(1.7%) for-loop .../findroot/src/core/alt-table.rkt:110:2 ------------------------------------------------------------------------ loop [81] 100.0% [94] 216(0.9%) 216(0.9%) loop ...erbie/findroot/src/core/alt-table.rkt:92:2 ------------------------------------------------------------------------ loop [81] 100.0% [95] 216(0.9%) 216(0.9%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ------------------------------------------------------------------------ coerce-contract [85] 100.0% [96] 202(0.8%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [106] 100.0% ------------------------------------------------------------------------ for-loop [60] 4.9% pred [72] 5.1% .../more-scheme.rkt:261:28 [25] 7.3% ??? [91] 7.8% for-loop [66] 35.3% atab-add-altn [79] 39.6% [97] 8180(34.2%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 temp85_0 [127] 47.5% for-loop [109] 42.7% eval-prog [113] 4.8% eval [128] 2.5% loop [150] 2.4% ------------------------------------------------------------------------ loop [110] 3.8% ??? [87] 36.4% location-do [98] 59.8% [98] 4936(20.6%) 256(1.1%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [98] 59.8% ??? [87] 24.0% loop [110] 14.9% ------------------------------------------------------------------------ hash-ref! [151] 30.1% map [88] 69.9% [99] 2382(10.0%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [124] 100.0% ------------------------------------------------------------------------ ??? [89] 100.0% [100] 1044(4.4%) 1044(4.4%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ map [88] 7.8% approximate9 [2] 24.8% for-loop [17] 30.7% taylor [101] 36.7% [101] 1042(4.4%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [101] 36.7% taylor-sqrt [112] 21.5% taylor-quotient [116] 19.8% map [88] 14.2% taylor-invert [10] 5.0% debug-print [117] 2.8% ------------------------------------------------------------------------ map [88] 24.0% loop [102] 76.0% [102] 1000(4.2%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [102] 76.0% ??? [154] 19.9% ??? [114] 3.1% ------------------------------------------------------------------------ ??? [87] 100.0% [103] 996(4.2%) 600(2.5%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfsub [111] 39.8% ------------------------------------------------------------------------ map [88] 100.0% [104] 428(1.8%) 206(0.9%) simplify-node ...findroot/src/core/reduce.rkt:46:0 gather-multiplicative-terms [115] 51.9% ------------------------------------------------------------------------ map [88] 100.0% [105] 216(0.9%) 0(0.0%) parse-loop49 (unknown source) f61 [118] 100.0% ------------------------------------------------------------------------ coerce-contract/f [96] 100.0% [106] 202(0.8%) 202(0.8%) coerce-simple-value ...ract/private/guts.rkt:385:0 ------------------------------------------------------------------------ ??? [87] 100.0% [107] 202(0.8%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [119] 100.0% ------------------------------------------------------------------------ ??? [87] 100.0% [108] 200(0.8%) 0(0.0%) ival-div ...bie/findroot/src/biginterval.rkt:149:0 bfsub [111] 100.0% ------------------------------------------------------------------------ errors [97] 100.0% [109] 3492(14.6%) 602(2.5%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [25] 82.8% ------------------------------------------------------------------------ loop [110] 32.2% location-do [98] 67.8% [110] 1718(7.2%) 0(0.0%) loop ...lies/herbie/findroot/src/programs.rkt:72:4 ??? [87] 49.6% loop [110] 32.2% location-do [98] 18.2% ------------------------------------------------------------------------ ival-div [108] 25.1% ival-sub [62] 25.3% ival-mult [103] 49.6% [111] 798(3.3%) 0(0.0%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [119] 50.1% ??? [121] 49.9% ------------------------------------------------------------------------ for-loop [17] 32.1% map [88] 32.1% taylor [101] 35.9% [112] 624(2.6%) 0(0.0%) taylor-sqrt .../findroot/src/core/taylor.rkt:351:0 hash-ref! [151] 67.9% f61 [118] 32.1% ------------------------------------------------------------------------ prepare-points-intervals [28] 32.7% errors [97] 67.3% [113] 588(2.5%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 hash-ref! [151] 65.3% inductor [122] 34.7% ------------------------------------------------------------------------ loop [102] 100.0% [114] 400(1.7%) 200(0.8%) ??? ...rbie/findroot/src/core/alt-table.rkt:185:12 loop [123] 50.0% ------------------------------------------------------------------------ simplify-node [104] 100.0% [115] 222(0.9%) 222(0.9%) gather-multiplicative-terms ...re/reduce.rkt:110:0 ------------------------------------------------------------------------ taylor [101] 100.0% [116] 206(0.9%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [120] 100.0% ------------------------------------------------------------------------ taylor [101] 100.0% [117] 202(0.8%) 202(0.8%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ------------------------------------------------------------------------ ??? [163] 11.9% taylor-sqrt [112] 12.0% for-loop [15] 12.1% parse-loop49 [105] 12.9% map [88] 13.4% hash-ref! [151] 37.6% [118] 1668(7.0%) 0(0.0%) f61 (unknown source) eval-const-expr [124] 86.6% composed [125] 13.4% ------------------------------------------------------------------------ bfneg [77] 24.0% bf [107] 25.5% bfsub [111] 50.5% [119] 792(3.3%) 792(3.3%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------ taylor-quotient [116] 49.5% taylor-invert [10] 50.5% [120] 416(1.7%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [151] 100.0% ------------------------------------------------------------------------ bfsub [111] 100.0% [121] 398(1.7%) 398(1.7%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ eval-prog [113] 33.3% inductor [122] 66.7% [122] 204(0.9%) 0(0.0%) inductor ...herbie/findroot/src/programs.rkt:103:4 inductor [122] 66.7% value? [126] 33.3% ------------------------------------------------------------------------ ??? [114] 33.3% loop [123] 66.7% [123] 200(0.8%) 200(0.8%) loop ...7.5/collects/racket/private/list.rkt:82:16 loop [123] 66.7% ------------------------------------------------------------------------ f61 [118] 37.7% parse-loop74 [99] 62.3% [124] 3826(16.0%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [127] 84.4% loop [150] 10.4% eval [128] 5.2% ------------------------------------------------------------------------ f61 [118] 100.0% [125] 224(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [129] 100.0% ------------------------------------------------------------------------ inductor [122] 100.0% [126] 204(0.9%) 204(0.9%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 ------------------------------------------------------------------------ loop [150] 2.3% ??? [158] 2.5% for-loop [172] 9.8% eval-const-expr [124] 38.7% errors [97] 46.7% [127] 8332(34.9%) 0(0.0%) temp85_0 (unknown source) compile15 [130] 100.0% ------------------------------------------------------------------------ eval-const-expr [124] 49.5% errors [97] 50.5% [128] 404(1.7%) 0(0.0%) eval (unknown source) namespace-syntax-introduce3 [131] 100.0% ------------------------------------------------------------------------ composed [125] 100.0% [129] 224(0.9%) 224(0.9%) free-variables ...e/findroot/src/programs.rkt:56:0 ------------------------------------------------------------------------ temp85_0 [127] 100.0% [130] 8332(34.9%) 0(0.0%) compile15 (unknown source) temp91_0 [132] 100.0% ------------------------------------------------------------------------ eval [128] 100.0% [131] 404(1.7%) 200(0.8%) namespace-syntax-introduce3 (unknown source) for-loop [177] 50.5% ------------------------------------------------------------------------ compile15 [130] 100.0% [132] 8332(34.9%) 0(0.0%) temp91_0 (unknown source) temp118_0 [133] 94.9% compile-top9 [134] 5.1% ------------------------------------------------------------------------ temp91_0 [132] 100.0% [133] 7906(33.1%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [135] 100.0% ------------------------------------------------------------------------ temp91_0 [132] 100.0% [134] 426(1.8%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [136] 100.0% ------------------------------------------------------------------------ loop [150] 13.6% temp118_0 [133] 86.4% [135] 9152(38.3%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [137] 79.7% dispatch-transformer41 [138] 9.1% expand-id-application-form17 [153] 6.8% loop [150] 4.4% ------------------------------------------------------------------------ compile-top9 [134] 100.0% [136] 426(1.8%) 210(0.9%) compile-forms33 (unknown source) for-loop [177] 50.7% ------------------------------------------------------------------------ expand-capturing-lifts [135] 100.0% [137] 7294(30.5%) 200(0.8%) lambda-clause-expander (unknown source) finish-bodys [139] 94.5% loop [150] 2.8% ------------------------------------------------------------------------ loop [150] 8.6% expand-capturing-lifts [135] 35.5% for-loop [177] 55.9% [138] 2350(9.8%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [140] 100.0% ------------------------------------------------------------------------ lambda-clause-expander [137] 20.3% for-loop [177] 79.7% [139] 6892(28.8%) 0(0.0%) finish-bodys (unknown source) for-loop [177] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [138] 100.0% [140] 2350(9.8%) 404(1.7%) apply-transformer52 (unknown source) apply-transformer-in-context [141] 43.3% loop [150] 30.0% apply-post-expansion [142] 9.5% ------------------------------------------------------------------------ apply-transformer52 [140] 100.0% [141] 1018(4.3%) 0(0.0%) apply-transformer-in-context (unknown source) go [143] 40.1% parse-lambda [144] 20.4% ??? [145] 19.8% parse-app [146] 19.6% ------------------------------------------------------------------------ apply-transformer52 [140] 100.0% [142] 224(0.9%) 0(0.0%) apply-post-expansion (unknown source) gf [152] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [141]100.0% [143] 408(1.7%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [147] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [141]100.0% [144] 208(0.9%) 208(0.9%) parse-lambda ...llects/racket/private/kw.rkt:619:2 ------------------------------------------------------------------------ apply-transformer-in-context [141]100.0% [145] 202(0.8%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [148] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [141]100.0% [146] 200(0.8%) 200(0.8%) parse-app ...collects/racket/private/kw.rkt:1142:2 ------------------------------------------------------------------------ loop [147] 24.8% go [143] 75.2% [147] 408(1.7%) 408(1.7%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [147] 24.8% ------------------------------------------------------------------------ ??? [145] 100.0% [148] 202(0.8%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [149] 100.0% ------------------------------------------------------------------------ ??? [148] 100.0% [149] 202(0.8%) 0(0.0%) syntax->list (unknown source) loop [150] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 0.5% syntax->list [149] 1.5% gf [152] 1.9% eval-const-expr [124] 2.4% ??? [171] 2.8% expand-capturing-lifts [135] 2.9% datum->syntax6 [20] 2.9% errors [97] 2.9% lambda-clause-expander [137] 2.9% for-loop [172] 5.2% apply-transformer52 [140] 6.9% for-loop [177] 9.0% for-loop [33] 9.0% loop [150] 11.7% syntax-e/no-taint [14] 37.5% [150] 6862(28.7%) 1404(5.9%) loop (unknown source) gf [152] 38.4% loop [150] 11.7% expand-capturing-lifts [135] 10.5% expand-id-application-form17 [153] 6.1% core-form-sym [156] 4.5% syntax-e [5] 3.9% ??? [154] 3.3% dispatch-transformer41 [138] 2.9% *bit-width* [155] 2.9% hash-ref! [151] 2.8% temp85_0 [127] 0.5% ------------------------------------------------------------------------ ??? [163] 1.0% loop [150] 2.1% ??? [160] 2.8% taylor-sqrt [112] 3.0% for-loop [15] 3.4% eval-prog [113] 3.4% for-loop [16] 4.0% for-loop [18] 4.0% ??? [4] 4.8% for-loop [90] 5.1% ??? [23] 5.3% first-nonzero-exp [120] 6.0% loop [13] 9.5% ??? [3] 9.6% ??? [87] 11.1% localize-error [54] 24.0% [151] 6976(29.2%) 384(1.6%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [158] 24.0% ??? [4] 14.3% ??? [3] 11.1% ??? [6] 10.2% matcher [164] 9.2% f40 [22] 8.0% parse-loop74 [99] 4.4% ??? [7] 4.0% f61 [118] 3.6% ??? [160] 2.8% ??? [163] 2.1% ??? [171] 2.1% ------------------------------------------------------------------------ apply-post-expansion [142] 1.7% loop [150] 98.3% [152] 3354(14.0%) 400(1.7%) gf (unknown source) propagation-apply-shifted [161] 25.3% propagation-apply [162] 24.1% cache-or-reuse-hash [165] 18.1% propagation-merge [167] 7.6% loop [150] 6.7% cache-or-reuse-set [168] 6.2% ------------------------------------------------------------------------ for-loop [177] 21.6% expand-capturing-lifts [135] 33.7% loop [150] 44.8% [153] 1854(7.8%) 200(0.8%) expand-id-application-form17 (unknown source) resolve+shift28 [157] 55.6% syntax-e/no-taint [14] 33.7% ------------------------------------------------------------------------ loop [102] 33.2% loop [150] 66.8% [154] 1198(5.0%) 204(0.9%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [175] 16.9% ulp-difference [169] 16.7% ??? [159] 16.5% ??? [170] 16.5% ??? [166] 16.4% ------------------------------------------------------------------------ loop [150] 31.8% .../more-scheme.rkt:261:28 [25] 68.2% [155] 622(2.6%) 398(1.7%) *bit-width* .../herbie/findroot/src/float.rkt:34:0 return/no-unsupplied [174] 36.0% ------------------------------------------------------------------------ loop [150] 100.0% [156] 306(1.3%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [157] 100.0% ------------------------------------------------------------------------ expand-identifier [11] 10.3% core-form-sym [156] 15.7% expand-implicit [8] 21.0% expand-id-application-form17 [153] 53.0% [157] 1944(8.1%) 930(3.9%) resolve+shift28 (unknown source) fallback-loop [173] 52.2% ------------------------------------------------------------------------ hash-ref! [151] 100.0% [158] 1674(7.0%) 0(0.0%) ??? ...herbie/findroot/src/core/localize.rkt:17:13 for-loop [172] 87.6% temp85_0 [127] 12.4% ------------------------------------------------------------------------ ??? [154] 16.7% .../more-scheme.rkt:261:28 [25] 83.3% [159] 1186(5.0%) 600(2.5%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [174] 16.9% list-member? [176] 16.9% ??? [175] 15.7% ------------------------------------------------------------------------ hash-ref! [151] 100.0% [160] 1006(4.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [151] 100.0% ------------------------------------------------------------------------ gf [152] 100.0% [161] 850(3.6%) 850(3.6%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------ gf [152] 100.0% [162] 808(3.4%) 808(3.4%) propagation-apply (unknown source) ------------------------------------------------------------------------ hash-ref! [151] 100.0% [163] 804(3.4%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:362:30 hash-ref! [151] 50.0% ??? [23] 25.4% f61 [118] 24.6% ------------------------------------------------------------------------ hash-ref! [151] 100.0% [164] 640(2.7%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [9] 55.9% rewriter [82] 44.1% ------------------------------------------------------------------------ gf [152] 100.0% [165] 608(2.5%) 202(0.8%) cache-or-reuse-hash (unknown source) for-loop [177] 66.8% ------------------------------------------------------------------------ ??? [154] 48.8% .../more-scheme.rkt:261:28 [25] 51.2% [166] 402(1.7%) 402(1.7%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ------------------------------------------------------------------------ gf [152] 100.0% [167] 256(1.1%) 256(1.1%) propagation-merge (unknown source) ------------------------------------------------------------------------ gf [152] 100.0% [168] 208(0.9%) 208(0.9%) cache-or-reuse-set (unknown source) ------------------------------------------------------------------------ ??? [154] 100.0% [169] 200(0.8%) 200(0.8%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 ------------------------------------------------------------------------ ??? [154] 100.0% [170] 198(0.8%) 198(0.8%) ??? ...htlies/herbie/findroot/src/common.rkt:293:0 ------------------------------------------------------------------------ hash-ref! [151] 100.0% [171] 192(0.8%) 0(0.0%) ??? ...lies/herbie/findroot/src/programs.rkt:178:5 loop [150] 100.0% ------------------------------------------------------------------------ ??? [158] 100.0% [172] 1466(6.1%) 0(0.0%) for-loop ...e/findroot/src/core/localize.rkt:32:37 temp85_0 [127] 55.8% loop [150] 44.2% ------------------------------------------------------------------------ resolve+shift28 [157] 100.0% [173] 1014(4.2%) 0(0.0%) fallback-loop (unknown source) for-loop [177] 100.0% ------------------------------------------------------------------------ ??? [159] 47.2% *bit-width* [155] 52.8% [174] 424(1.8%) 224(0.9%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 filter [178] 47.2% ------------------------------------------------------------------------ ??? [159] 47.9% ??? [154] 52.1% [175] 388(1.6%) 388(1.6%) ??? ...ects/racket/contract/private/guts.rkt:770:8 ------------------------------------------------------------------------ ??? [159] 100.0% [176] 200(0.8%) 200(0.8%) list-member? ...llects/racket/private/set.rkt:24:0 ------------------------------------------------------------------------ fallback-loop [173] 1.4% namespace-syntax-introduce3 [131] 2.7% compile-forms33 [136] 2.9% cache-or-reuse-hash [165] 3.0% for-loop [177] 18.0% finish-bodys [139] 71.9% [177] 7510(31.4%) 2270(9.5%) for-loop (unknown source) finish-bodys [139] 59.7% for-loop [177] 18.0% dispatch-transformer41 [138] 3.3% compile-module-linklet57 [180] 2.9% syntax-e [5] 2.8% expand-id-application-form17 [153] 1.6% loop [150] 1.1% add-local-binding!39 [179] 0.8% expand-implicit [8] 0.7% expand-identifier [11] 0.2% ------------------------------------------------------------------------ return/no-unsupplied [174] 100.0% [178] 200(0.8%) 200(0.8%) filter ...5/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------ for-loop [177] 100.0% [179] 400(1.7%) 0(0.0%) add-local-binding!39 (unknown source) binding-table-add [181] 100.0% ------------------------------------------------------------------------ for-loop [177] 100.0% [180] 216(0.9%) 216(0.9%) compile-module-linklet57 (unknown source) ------------------------------------------------------------------------ add-local-binding!39 [179] 100.0% [181] 400(1.7%) 400(1.7%) binding-table-add (unknown source) ------------------------------------------------------------------------