Profiling results ----------------- Total cpu time observed: 6682ms (out of 6896ms) Number of samples taken: 34 (once every 197ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 107 hidden) ====================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================================== [1] 6682(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [10] 100.0% -------------------------------------------------------------------------------------- ??? [62] 100.0% [2] 1602(24.0%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [11] 100.0% -------------------------------------------------------------------------------------- hash-ref! [67] 100.0% [3] 1180(17.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [12] 100.0% -------------------------------------------------------------------------------------- parse-loop74 [4] 11.2% hash-ref! [67] 88.8% [4] 1154(17.3%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [21] 69.0% f61 [18] 19.8% parse-loop74 [4] 11.2% -------------------------------------------------------------------------------------- hash-ref! [67] 100.0% [5] 508(7.6%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [62] 100.0% -------------------------------------------------------------------------------------- hash-ref! [67] 100.0% [6] 390(5.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [13] 100.0% -------------------------------------------------------------------------------------- for-loop [99] 100.0% [7] 222(3.3%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [14] 100.0% -------------------------------------------------------------------------------------- matcher [83] 100.0% [8] 212(3.2%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [15] 100.0% -------------------------------------------------------------------------------------- for-loop [99] 100.0% [9] 152(2.3%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [16] 100.0% -------------------------------------------------------------------------------------- ??? [1] 100.0% [10] 6682(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% -------------------------------------------------------------------------------------- approximate9 [2] 100.0% [11] 1602(24.0%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [62] 68.3% hash-ref! [67] 31.7% -------------------------------------------------------------------------------------- ??? [3] 100.0% [12] 1180(17.7%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [67] 41.7% ??? [19] 39.2% f61 [18] 19.2% -------------------------------------------------------------------------------------- ??? [6] 100.0% [13] 390(5.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [67] 100.0% -------------------------------------------------------------------------------------- syntax-e [7] 100.0% [14] 222(3.3%) 0(0.0%) syntax-e/no-taint (unknown source) loop [70] 100.0% -------------------------------------------------------------------------------------- ??? [8] 100.0% [15] 212(3.2%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [67] 100.0% -------------------------------------------------------------------------------------- dispatch-transformer41 [9] 100.0% [16] 152(2.3%) 0(0.0%) apply-transformer52 (unknown source) loop [70] 100.0% -------------------------------------------------------------------------------------- profile-thunk16 [10] 100.0% [17] 6682(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [20] 100.0% -------------------------------------------------------------------------------------- hash-ref! [67] 32.8% for-loop [12] 33.4% parse-loop74 [4] 33.7% [18] 676(10.1%) 0(0.0%) f61 (unknown source) eval-const-expr [21] 100.0% -------------------------------------------------------------------------------------- for-loop [12] 100.0% [19] 574(8.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [67] 100.0% -------------------------------------------------------------------------------------- for-loop [71] 5.3% run [17] 94.7% [20] 6682(100.0%) 542(8.1%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [22] 57.6% prepare-points-intervals [23] 28.7% oracle-error [24] 3.0% errors [63] 2.9% get-final-combination [26] 2.5% ulp-difference [25] 1.3% -------------------------------------------------------------------------------------- f61 [18] 42.2% parse-loop74 [4] 57.8% [21] 1602(24.0%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [69] 74.5% loop [70] 25.5% -------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [20] 100.0% [22] 4012(60.0%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [27] 100.0% -------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [20] 100.0% [23] 1916(28.7%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [28] 100.0% -------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [20] 100.0% [24] 200(3.0%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [29] 100.0% -------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [20] 100.0% [25] 168(2.5%) 168(2.5%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 -------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [20] 100.0% [26] 164(2.5%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [30] 100.0% -------------------------------------------------------------------------------------- run-improve47 [22] 100.0% [27] 4012(60.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [31] 100.0% -------------------------------------------------------------------------------------- prepare-points-intervals [23] 100.0% [28] 1916(28.7%) 208(3.1%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [32] 49.9% ??? [33] 39.2% -------------------------------------------------------------------------------------- oracle-error [24] 100.0% [29] 200(3.0%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [70] 100.0% -------------------------------------------------------------------------------------- get-final-combination [26] 100.0% [30] 164(2.5%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [34] 100.0% -------------------------------------------------------------------------------------- for-loop [27] 100.0% [31] 4012(60.0%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [35] 39.9% finalize-iter! [36] 30.9% simplify! [37] 23.9% gen-rewrites! [40] 5.3% -------------------------------------------------------------------------------------- loop [28] 100.0% [32] 956(14.3%) 172(2.6%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [39] 42.9% ??? [62] 39.1% -------------------------------------------------------------------------------------- loop [28] 100.0% [33] 752(11.3%) 192(2.9%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [38] 74.5% -------------------------------------------------------------------------------------- infer-splitpoints [30] 100.0% [34] 164(2.5%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [41] 100.0% -------------------------------------------------------------------------------------- run-iter! [31] 100.0% [35] 1602(24.0%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [42] 100.0% -------------------------------------------------------------------------------------- run-iter! [31] 100.0% [36] 1238(18.5%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [43] 100.0% -------------------------------------------------------------------------------------- run-iter! [31] 100.0% [37] 960(14.4%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [44] 100.0% -------------------------------------------------------------------------------------- ??? [33] 100.0% [38] 560(8.4%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [46] 63.9% for-loop [48] 36.1% -------------------------------------------------------------------------------------- loop [32] 100.0% [39] 410(6.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [45] 100.0% -------------------------------------------------------------------------------------- run-iter! [31] 100.0% [40] 212(3.2%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [47] 100.0% -------------------------------------------------------------------------------------- for-loop [34] 100.0% [41] 164(2.5%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 sort-context-on-expr [49] 100.0% -------------------------------------------------------------------------------------- gen-series! [35] 100.0% [42] 1602(24.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [50] 100.0% -------------------------------------------------------------------------------------- finalize-iter! [36] 100.0% [43] 1238(18.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [51] 100.0% -------------------------------------------------------------------------------------- simplify! [37] 100.0% [44] 960(14.4%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [52] 100.0% -------------------------------------------------------------------------------------- ??? [39] 100.0% [45] 410(6.1%) 410(6.1%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 -------------------------------------------------------------------------------------- sample-multi-bounded [38] 100.0% [46] 358(5.4%) 172(2.6%) random-ranges ...bie/findroot/src/common.rkt:164:0 dict? [54] 52.0% -------------------------------------------------------------------------------------- gen-rewrites! [40] 100.0% [47] 212(3.2%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [53] 100.0% -------------------------------------------------------------------------------------- sample-multi-bounded [38] 100.0% [48] 202(3.0%) 202(3.0%) for-loop ...es/herbie/findroot/src/points.rkt:20:4 -------------------------------------------------------------------------------------- option-on-expr [41] 100.0% [49] 164(2.5%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [55] 100.0% -------------------------------------------------------------------------------------- for-loop [42] 100.0% [50] 1602(24.0%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [56] 100.0% -------------------------------------------------------------------------------------- ??? [43] 100.0% [51] 1238(18.5%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 errors [63] 44.1% atab-add-altn [58] 38.0% loop [59] 17.9% -------------------------------------------------------------------------------------- ??? [44] 100.0% [52] 960(14.4%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [57] 100.0% -------------------------------------------------------------------------------------- for-loop [47] 100.0% [53] 212(3.2%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [60] 100.0% -------------------------------------------------------------------------------------- random-ranges [46] 100.0% [54] 186(2.8%) 186(2.8%) dict? ...ollects/racket/private/generic.rkt:146:11 -------------------------------------------------------------------------------------- sort-context-on-expr [49] 100.0% [55] 164(2.5%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [61] 100.0% -------------------------------------------------------------------------------------- taylor-alt [50] 100.0% [56] 1602(24.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [62] 100.0% -------------------------------------------------------------------------------------- egraph-run [52] 100.0% [57] 960(14.4%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [64] 100.0% -------------------------------------------------------------------------------------- for-loop [51] 100.0% [58] 470(7.0%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [63] 100.0% -------------------------------------------------------------------------------------- for-loop [51] 100.0% [59] 222(3.3%) 222(3.3%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 -------------------------------------------------------------------------------------- rewrite-expression-head24 [53] 33.3% matcher [83] 66.7% [60] 212(3.2%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [65] 100.0% -------------------------------------------------------------------------------------- ??? [55] 100.0% [61] 164(2.5%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [66] 100.0% -------------------------------------------------------------------------------------- ??? [5] 8.6% loop [11] 18.5% loop [32] 18.9% location-do [68] 27.0% for-loop [56] 27.0% [62] 1976(29.6%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [68] 27.0% approximate9 [2] 27.0% hash-ref! [67] 27.0% ival-mult [73] 18.9% -------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [20] 27.7% atab-add-altn [58] 33.4% for-loop [51] 38.8% [63] 1406(21.0%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [71] 66.6% temp85_0 [69] 21.5% loop [70] 11.9% -------------------------------------------------------------------------------------- egraph-add-exprs [57] 100.0% [64] 960(14.4%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [72] 77.3% egg-run-rules [74] 22.7% -------------------------------------------------------------------------------------- rewriter [60] 100.0% [65] 212(3.2%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [67] 66.7% for-loop [75] 33.3% -------------------------------------------------------------------------------------- generic-sort/key [61] 25.0% copying-mergesort [66] 75.0% [66] 164(2.5%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [66] 75.0% jloop [76] 25.0% -------------------------------------------------------------------------------------- for-loop [13] 4.3% loop [11] 4.9% for-loop [15] 5.8% for-loop [65] 5.8% ??? [19] 5.9% ??? [79] 8.4% for-loop [12] 8.8% ??? [77] 27.5% ??? [62] 27.5% [67] 1814(27.1%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [77] 27.5% ??? [3] 21.0% parse-loop74 [4] 18.9% matcher [83] 11.7% ??? [79] 8.4% ??? [5] 4.9% ??? [6] 4.3% f61 [18] 2.4% -------------------------------------------------------------------------------------- location-do [68] 45.2% ??? [62] 54.8% [68] 1602(24.0%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [62] 54.8% location-do [68] 45.2% -------------------------------------------------------------------------------------- errors [63] 20.2% eval-const-expr [21] 79.8% [69] 1496(22.4%) 226(3.4%) temp85_0 (unknown source) compile15 [78] 84.9% -------------------------------------------------------------------------------------- apply-transformer52 [16] 13.2% errors [63] 14.6% for-loop [29] 17.4% syntax-e/no-taint [14] 19.3% eval-const-expr [21] 35.5% [70] 1150(17.2%) 352(5.3%) loop (unknown source) expand-capturing-lifts [91] 50.1% gf [81] 19.3% -------------------------------------------------------------------------------------- errors [63] 100.0% [71] 936(14.0%) 226(3.4%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [20] 75.9% -------------------------------------------------------------------------------------- ??? [64] 100.0% [72] 742(11.1%) 742(11.1%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 -------------------------------------------------------------------------------------- ??? [62] 100.0% [73] 374(5.6%) 0(0.0%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [80] 100.0% -------------------------------------------------------------------------------------- ??? [64] 100.0% [74] 218(3.3%) 218(3.3%) egg-run-rules ...droot/src/core/simplify.rkt:108:0 -------------------------------------------------------------------------------------- for-loop [65] 100.0% [75] 212(3.2%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [82] 100.0% -------------------------------------------------------------------------------------- copying-mergesort [66] 100.0% [76] 164(2.5%) 164(2.5%) jloop ...5/collects/racket/private/sort.rkt:120:23 -------------------------------------------------------------------------------------- hash-ref! [67] 100.0% [77] 1602(24.0%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [67] 100.0% -------------------------------------------------------------------------------------- temp85_0 [69] 100.0% [78] 1270(19.0%) 0(0.0%) compile15 (unknown source) temp91_0 [84] 100.0% -------------------------------------------------------------------------------------- hash-ref! [67] 100.0% [79] 740(11.1%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [67] 100.0% -------------------------------------------------------------------------------------- ival-mult [73] 100.0% [80] 374(5.6%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [85] 100.0% -------------------------------------------------------------------------------------- loop [70] 100.0% [81] 222(3.3%) 0(0.0%) gf (unknown source) propagation-apply [86] 100.0% -------------------------------------------------------------------------------------- for-loop [75] 100.0% [82] 212(3.2%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-match [87] 100.0% -------------------------------------------------------------------------------------- hash-ref! [67] 100.0% [83] 212(3.2%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [8] 50.0% rewriter [60] 50.0% -------------------------------------------------------------------------------------- compile15 [78] 100.0% [84] 1270(19.0%) 0(0.0%) temp91_0 (unknown source) temp118_0 [88] 66.8% compile-top9 [89] 33.2% -------------------------------------------------------------------------------------- bfmul [80] 100.0% [85] 374(5.6%) 374(5.6%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 -------------------------------------------------------------------------------------- gf [81] 100.0% [86] 222(3.3%) 222(3.3%) propagation-apply (unknown source) -------------------------------------------------------------------------------------- fix-up-variables [82] 100.0% [87] 212(3.2%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 for-loop [90] 100.0% -------------------------------------------------------------------------------------- temp91_0 [84] 100.0% [88] 848(12.7%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [91] 100.0% -------------------------------------------------------------------------------------- temp91_0 [84] 100.0% [89] 422(6.3%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [92] 100.0% -------------------------------------------------------------------------------------- pattern-match [87] 100.0% [90] 212(3.2%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 core457 [93] 100.0% -------------------------------------------------------------------------------------- loop [70] 40.4% temp118_0 [88] 59.6% [91] 1424(21.3%) 184(2.8%) expand-capturing-lifts (unknown source) lambda-clause-expander [94] 59.6% expand-id-application-form17 [95] 27.5% -------------------------------------------------------------------------------------- compile-top9 [89] 100.0% [92] 422(6.3%) 0(0.0%) compile-forms33 (unknown source) for-loop [99] 100.0% -------------------------------------------------------------------------------------- for-loop [90] 100.0% [93] 212(3.2%) 0(0.0%) core457 ...acket/contract/private/arr-i.rkt:976:19 successfully-got-the-right-kind-of-function [96]100.0% -------------------------------------------------------------------------------------- expand-capturing-lifts [91] 100.0% [94] 848(12.7%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [97] 100.0% -------------------------------------------------------------------------------------- expand-capturing-lifts [91] 100.0% [95] 392(5.9%) 168(2.5%) expand-id-application-form17 (unknown source) binding-lookup52 [98] 57.1% -------------------------------------------------------------------------------------- core457 [93] 100.0% [96] 212(3.2%) 212(3.2%) successfully-got-the-right-kind-of-function ...5:4 -------------------------------------------------------------------------------------- lambda-clause-expander [94] 11.3% for-loop [99] 88.7% [97] 848(12.7%) 0(0.0%) finish-bodys (unknown source) for-loop [99] 100.0% -------------------------------------------------------------------------------------- expand-id-application-form17 [95] 100.0% [98] 224(3.4%) 224(3.4%) binding-lookup52 (unknown source) -------------------------------------------------------------------------------------- for-loop [99] 12.1% compile-forms33 [92] 33.2% finish-bodys [97] 54.7% [99] 1270(19.0%) 0(0.0%) for-loop (unknown source) finish-bodys [97] 48.6% compile-module-linklet57 [100] 33.2% for-loop [99] 12.1% expand-body7 [101] 1.9% syntax-e [7] 1.7% expand-identifier [102] 1.1% dispatch-transformer41 [9] 0.9% add-local-binding!39 [103] 0.5% -------------------------------------------------------------------------------------- for-loop [99] 100.0% [100] 422(6.3%) 228(3.4%) compile-module-linklet57 (unknown source) make-module-use-to-linklet [104] 46.0% -------------------------------------------------------------------------------------- for-loop [99] 100.0% [101] 168(2.5%) 168(2.5%) expand-body7 (unknown source) -------------------------------------------------------------------------------------- for-loop [99] 100.0% [102] 156(2.3%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [105] 100.0% -------------------------------------------------------------------------------------- for-loop [99] 100.0% [103] 150(2.2%) 150(2.2%) add-local-binding!39 (unknown source) -------------------------------------------------------------------------------------- compile-module-linklet57 [100] 100.0% [104] 194(2.9%) 194(2.9%) make-module-use-to-linklet (unknown source) -------------------------------------------------------------------------------------- expand-identifier [102] 100.0% [105] 156(2.3%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [106] 100.0% -------------------------------------------------------------------------------------- resolve+shift28 [105] 100.0% [106] 156(2.3%) 156(2.3%) fallback-loop (unknown source) --------------------------------------------------------------------------------------