Profiling results ----------------- Total cpu time observed: 10716ms (out of 10816ms) Number of samples taken: 55 (once every 195ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== [1] 10716(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [7] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [2] 620(5.8%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [74] 65.5% ??? [10] 34.5% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [3] 406(3.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [9] 100.0% ---------------------------------------------------------------------- for-loop [79] 100.0% [4] 206(1.9%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [11] 100.0% ---------------------------------------------------------------------- loop [86] 100.0% [5] 200(1.9%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [12] 100.0% ---------------------------------------------------------------------- taylor [76] 100.0% [6] 200(1.9%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 parse-loop74 [8] 100.0% ---------------------------------------------------------------------- ??? [1] 100.0% [7] 10716(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% ---------------------------------------------------------------------- taylor-invert [81] 19.6% taylor-quotient [6] 19.6% hash-ref! [74] 60.8% [8] 1020(9.5%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [14] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [9] 406(3.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [74] 100.0% ---------------------------------------------------------------------- ??? [2] 100.0% [10] 214(2.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [74] 100.0% ---------------------------------------------------------------------- expand-identifier [4] 100.0% [11] 206(1.9%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [15] 100.0% ---------------------------------------------------------------------- expand-id-application-form17 [5] 100.0% [12] 200(1.9%) 0(0.0%) syntax-e/no-taint (unknown source) loop [86] 100.0% ---------------------------------------------------------------------- profile-thunk16 [7] 100.0% [13] 10716(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [16] 100.0% ---------------------------------------------------------------------- parse-loop74 [8] 100.0% [14] 1020(9.5%) 200(1.9%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [35] 80.4% ---------------------------------------------------------------------- resolve+shift28 [11] 100.0% [15] 206(1.9%) 0(0.0%) fallback-loop (unknown source) for-loop [79] 100.0% ---------------------------------------------------------------------- for-loop [37] 3.4% run [13] 96.6% [16] 10716(100.0%) 388(3.6%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [20] 68.5% run-improve47 [17] 21.6% errors [30] 3.9% oracle-error [19] 1.7% ??? [88] 1.5% get-final-combination [18] 1.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [16] 100.0% [17] 2310(21.6%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [21] 80.7% prepare-points-intervals [20] 9.9% simplify! [31] 9.4% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [16] 100.0% [18] 208(1.9%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 argmin [22] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [16] 100.0% [19] 180(1.7%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [23] 100.0% ---------------------------------------------------------------------- run-improve47 [17] 3.0% .../more-scheme.rkt:261:28 [16] 97.0% [20] 7570(70.6%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [24] 100.0% ---------------------------------------------------------------------- run-improve47 [17] 100.0% [21] 1864(17.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [25] 100.0% ---------------------------------------------------------------------- get-final-combination [18] 100.0% [22] 208(1.9%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [26] 100.0% ---------------------------------------------------------------------- oracle-error [19] 100.0% [23] 180(1.7%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [86] 100.0% ---------------------------------------------------------------------- prepare-points-intervals [20] 100.0% [24] 7570(70.6%) 558(5.2%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [27] 56.5% ??? [28] 36.2% ---------------------------------------------------------------------- for-loop [21] 100.0% [25] 1864(17.4%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [29] 54.7% simplify! [31] 23.9% finalize-iter! [32] 21.4% ---------------------------------------------------------------------- argmin [22] 100.0% [26] 208(1.9%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [30] 100.0% ---------------------------------------------------------------------- loop [24] 100.0% [27] 4274(39.9%) 412(3.8%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [33] 54.3% real->precision [36] 19.6% ??? [54] 12.8% ??? [40] 3.7% ---------------------------------------------------------------------- loop [24] 100.0% [28] 2738(25.6%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [87] 60.9% loop [86] 39.1% ---------------------------------------------------------------------- run-iter! [25] 100.0% [29] 1020(9.5%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [34] 100.0% ---------------------------------------------------------------------- ??? [26] 23.5% .../more-scheme.rkt:261:28 [16] 76.5% [30] 884(8.2%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [37] 81.4% temp85_0 [35] 18.6% ---------------------------------------------------------------------- run-improve47 [17] 32.8% run-iter! [25] 67.2% [31] 664(6.2%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [38] 100.0% ---------------------------------------------------------------------- run-iter! [25] 100.0% [32] 398(3.7%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [39] 100.0% ---------------------------------------------------------------------- loop [27] 100.0% [33] 2322(21.7%) 716(6.7%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-log [43] 32.3% ival-sub [46] 16.5% ival-exp [47] 12.9% ival-add [48] 7.5% ---------------------------------------------------------------------- gen-series! [29] 100.0% [34] 1020(9.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [41] 100.0% ---------------------------------------------------------------------- errors [30] 16.7% eval-const-expr [14] 83.3% [35] 984(9.2%) 0(0.0%) temp85_0 (unknown source) compile15 [42] 100.0% ---------------------------------------------------------------------- loop [27] 100.0% [36] 836(7.8%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [54] 100.0% ---------------------------------------------------------------------- errors [30] 100.0% [37] 720(6.7%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [16] 100.0% ---------------------------------------------------------------------- simplify! [31] 100.0% [38] 664(6.2%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [44] 100.0% ---------------------------------------------------------------------- finalize-iter! [32] 100.0% [39] 398(3.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [45] 100.0% ---------------------------------------------------------------------- loop [27] 100.0% [40] 158(1.5%) 158(1.5%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ---------------------------------------------------------------------- for-loop [34] 100.0% [41] 1020(9.5%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [49] 100.0% ---------------------------------------------------------------------- temp85_0 [35] 100.0% [42] 984(9.2%) 0(0.0%) compile15 (unknown source) temp91_0 [50] 100.0% ---------------------------------------------------------------------- ??? [33] 100.0% [43] 750(7.0%) 750(7.0%) ival-log ...bie/findroot/src/biginterval.rkt:190:0 ---------------------------------------------------------------------- ??? [38] 100.0% [44] 664(6.2%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [51] 100.0% ---------------------------------------------------------------------- ??? [39] 100.0% [45] 398(3.7%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 loop [52] 100.0% ---------------------------------------------------------------------- ??? [33] 100.0% [46] 382(3.6%) 0(0.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfmul [69] 100.0% ---------------------------------------------------------------------- ??? [33] 100.0% [47] 300(2.8%) 154(1.4%) ival-exp ...bie/findroot/src/biginterval.rkt:179:0 bfexp [53] 48.7% ---------------------------------------------------------------------- ??? [33] 100.0% [48] 174(1.6%) 174(1.6%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 ---------------------------------------------------------------------- taylor-alt [41] 100.0% [49] 1020(9.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [54] 100.0% ---------------------------------------------------------------------- compile15 [42] 100.0% [50] 984(9.2%) 0(0.0%) temp91_0 (unknown source) temp118_0 [55] 100.0% ---------------------------------------------------------------------- egraph-run [44] 100.0% [51] 664(6.2%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [56] 100.0% ---------------------------------------------------------------------- for-loop [45] 100.0% [52] 398(3.7%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [57] 50.3% map [58] 49.7% ---------------------------------------------------------------------- ival-exp [47] 100.0% [53] 146(1.4%) 0(0.0%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [73] 100.0% ---------------------------------------------------------------------- ??? [80] 3.0% loop [67] 5.6% location-do [59] 16.9% for-loop [49] 16.9% loop [27] 22.7% real->precision [36] 34.8% [54] 2402(22.4%) 382(3.6%) ??? ...tract/private/arrow-higher-order.rkt:375:33 bf [63] 20.1% location-do [59] 16.9% approximate9 [60] 16.9% ival-mult [64] 14.6% hash-ref! [74] 8.6% ??? [66] 7.0% ---------------------------------------------------------------------- temp91_0 [50] 100.0% [55] 984(9.2%) 164(1.5%) temp118_0 (unknown source) expand-capturing-lifts [61] 83.3% ---------------------------------------------------------------------- egraph-add-exprs [51] 100.0% [56] 664(6.2%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [62] 100.0% ---------------------------------------------------------------------- loop [52] 2.9% loop [57] 97.1% [57] 200(1.9%) 200(1.9%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [57] 97.1% ---------------------------------------------------------------------- loop [52] 100.0% [58] 198(1.8%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 loop [65] 100.0% ---------------------------------------------------------------------- ??? [54] 26.7% location-do [59] 73.3% [59] 1020(9.5%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [59] 73.3% ??? [54] 26.7% ---------------------------------------------------------------------- ??? [54] 100.0% [60] 1020(9.5%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [67] 60.8% for-loop [70] 19.6% taylor [76] 19.6% ---------------------------------------------------------------------- temp118_0 [55] 100.0% [61] 820(7.7%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [68] 75.6% dispatch-transformer41 [71] 24.4% ---------------------------------------------------------------------- ??? [56] 100.0% [62] 664(6.2%) 664(6.2%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ---------------------------------------------------------------------- ??? [54] 100.0% [63] 482(4.5%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [73] 100.0% ---------------------------------------------------------------------- ??? [54] 100.0% [64] 350(3.3%) 200(1.9%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [69] 42.9% ---------------------------------------------------------------------- map [58] 1.7% loop [65] 98.3% [65] 198(1.8%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [65] 98.3% ??? [72] 1.7% ---------------------------------------------------------------------- ??? [54] 100.0% [66] 168(1.6%) 168(1.6%) ??? ...ects/racket/contract/private/guts.rkt:770:8 ---------------------------------------------------------------------- approximate9 [60] 100.0% [67] 620(5.8%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [54] 65.5% hash-ref! [74] 34.5% ---------------------------------------------------------------------- expand-capturing-lifts [61] 100.0% [68] 620(5.8%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [75] 65.5% datum->syntax6 [85] 34.5% ---------------------------------------------------------------------- ival-mult [64] 28.2% ival-sub [46] 71.8% [69] 532(5.0%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [73] 59.4% ??? [77] 40.6% ---------------------------------------------------------------------- approximate9 [60] 100.0% [70] 200(1.9%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [76] 100.0% ---------------------------------------------------------------------- expand-capturing-lifts [61] 100.0% [71] 200(1.9%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [78] 100.0% ---------------------------------------------------------------------- loop [65] 100.0% [72] 198(1.8%) 198(1.8%) ??? ...rbie/findroot/src/core/alt-table.rkt:185:12 ---------------------------------------------------------------------- bfexp [53] 15.5% bfmul [69] 33.5% bf [63] 51.1% [73] 944(8.8%) 944(8.8%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ---------------------------------------------------------------------- ??? [82] 8.1% ??? [10] 11.5% loop [67] 11.5% for-loop [9] 19.1% ??? [2] 19.1% ??? [54] 30.6% [74] 620(5.8%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [2] 30.6% parse-loop74 [8] 30.6% ??? [3] 19.1% ??? [80] 11.5% ??? [82] 8.1% ---------------------------------------------------------------------- lambda-clause-expander [68] 1.6% for-loop [79] 98.4% [75] 406(3.8%) 0(0.0%) finish-bodys (unknown source) for-loop [79] 100.0% ---------------------------------------------------------------------- for-loop [70] 16.7% approximate9 [60] 25.0% taylor [76] 58.3% [76] 400(3.7%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [76] 58.3% taylor-invert [81] 25.0% taylor-quotient [6] 16.7% ---------------------------------------------------------------------- bfmul [69] 100.0% [77] 216(2.0%) 216(2.0%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ---------------------------------------------------------------------- dispatch-transformer41 [71] 100.0% [78] 200(1.9%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [83]100.0% ---------------------------------------------------------------------- fallback-loop [15] 0.8% for-loop [79] 3.2% finish-bodys [75] 96.0% [79] 406(3.8%) 206(1.9%) for-loop (unknown source) finish-bodys [75] 94.5% for-loop [79] 3.2% expand-identifier [4] 0.8% loop [86] 0.7% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [80] 214(2.0%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [54] 100.0% ---------------------------------------------------------------------- taylor [76] 100.0% [81] 200(1.9%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [8] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [82] 200(1.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [74] 100.0% ---------------------------------------------------------------------- apply-transformer52 [78] 100.0% [83] 200(1.9%) 0(0.0%) apply-transformer-in-context (unknown source) parse-lambda [84] 100.0% ---------------------------------------------------------------------- apply-transformer-in-context [83]100.0% [84] 200(1.9%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:619:2 datum->syntax6 [85] 100.0% ---------------------------------------------------------------------- parse-lambda [84] 48.3% lambda-clause-expander [68] 51.7% [85] 414(3.9%) 214(2.0%) datum->syntax6 (unknown source) loop [86] 48.3% ---------------------------------------------------------------------- datum->syntax6 [85] 4.0% syntax-e/no-taint [12] 6.1% for-loop [79] 6.1% loop [86] 8.1% for-loop [23] 10.9% ??? [28] 64.8% [86] 1650(15.4%) 200(1.9%) loop (unknown source) sample-multi-bounded [87] 64.8% ??? [88] 10.9% loop [86] 8.1% expand-id-application-form17 [5] 6.1% gf [89] 6.1% ---------------------------------------------------------------------- loop [86] 39.1% ??? [28] 60.9% [87] 2738(25.6%) 308(2.9%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [90] 88.8% ---------------------------------------------------------------------- loop [86] 35.2% .../more-scheme.rkt:261:28 [16] 64.8% [88] 512(4.8%) 512(4.8%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ---------------------------------------------------------------------- loop [86] 100.0% [89] 200(1.9%) 0(0.0%) gf (unknown source) propagation-apply-shifted [91] 100.0% ---------------------------------------------------------------------- sample-multi-bounded [87] 100.0% [90] 2430(22.7%) 566(5.3%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [92] 51.1% cons/c [93] 25.6% ---------------------------------------------------------------------- gf [89] 100.0% [91] 200(1.9%) 200(1.9%) propagation-apply-shifted (unknown source) ---------------------------------------------------------------------- random-ranges [90] 100.0% [92] 1242(11.6%) 564(5.3%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [94] 54.6% ---------------------------------------------------------------------- random-ranges [90] 100.0% [93] 622(5.8%) 156(1.5%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [94] 49.8% flat-contract? [95] 25.1% ---------------------------------------------------------------------- cons/c [93] 31.4% build--> [92] 68.6% [94] 988(9.2%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [96] 100.0% ---------------------------------------------------------------------- cons/c [93] 100.0% [95] 156(1.5%) 156(1.5%) flat-contract? .../contract/private/guts.rkt:129:0 ---------------------------------------------------------------------- coerce-contract [94] 100.0% [96] 988(9.2%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [97] 100.0% ---------------------------------------------------------------------- coerce-contract/f [96] 100.0% [97] 988(9.2%) 988(9.2%) coerce-simple-value ...ract/private/guts.rkt:385:0 ----------------------------------------------------------------------