Profiling results ----------------- Total cpu time observed: 5516ms (out of 5616ms) Number of samples taken: 27 (once every 204ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== [1] 5516(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [6] 100.0% --------------------------------------------------------------------- ??? [81] 100.0% [2] 1540(27.9%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [7] 76.0% for-loop [9] 12.1% taylor-sqrt [10] 11.9% --------------------------------------------------------------------- hash-ref! [85] 100.0% [3] 1170(21.2%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 hash-ref! [85] 59.5% ??? [81] 40.5% --------------------------------------------------------------------- hash-ref! [85] 100.0% [4] 474(8.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [8] 100.0% --------------------------------------------------------------------- for-loop [99] 100.0% [5] 166(3.0%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [11] 100.0% --------------------------------------------------------------------- ??? [1] 100.0% [6] 5516(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% --------------------------------------------------------------------- approximate9 [2] 100.0% [7] 1170(21.2%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [85] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [8] 474(8.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 f61 [15] 100.0% --------------------------------------------------------------------- approximate9 [2] 100.0% [9] 186(3.4%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [13] 100.0% --------------------------------------------------------------------- approximate9 [2] 100.0% [10] 184(3.3%) 0(0.0%) taylor-sqrt .../findroot/src/core/taylor.rkt:351:0 f40 [14] 100.0% --------------------------------------------------------------------- expand-identifier [5] 100.0% [11] 166(3.0%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [16] 100.0% --------------------------------------------------------------------- profile-thunk16 [6] 100.0% [12] 5516(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [17]100.0% --------------------------------------------------------------------- for-loop [9] 5.3% taylor [13] 15.8% hash-ref! [85] 78.9% [13] 882(16.0%) 380(6.9%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor-invert [18] 36.3% debug-print [19] 20.6% taylor [13] 15.8% --------------------------------------------------------------------- taylor-sqrt [10] 36.5% hash-ref! [85] 63.5% [14] 504(9.1%) 0(0.0%) f40 (unknown source) map [33] 100.0% --------------------------------------------------------------------- for-loop [8] 100.0% [15] 474(8.6%) 0(0.0%) f61 (unknown source) eval-const-expr [46] 100.0% --------------------------------------------------------------------- resolve+shift28 [11] 100.0% [16] 166(3.0%) 0(0.0%) fallback-loop (unknown source) for-loop [99] 100.0% --------------------------------------------------------------------- for-loop [77] 4.9% run [12] 95.1% [17] 5516(100.0%) 208(3.8%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [20] 49.9% prepare-points-intervals [21] 30.7% errors [70] 5.5% get-final-combination [23] 5.4% oracle-error [24] 3.6% ulp-difference [26] 1.5% ??? [49] 1.5% --------------------------------------------------------------------- taylor [13] 100.0% [18] 320(5.8%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 first-nonzero-exp [22] 100.0% --------------------------------------------------------------------- taylor [13] 100.0% [19] 182(3.3%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 for-loop [25] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17]100.0% [20] 2918(52.9%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [27] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17]100.0% [21] 1694(30.7%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [28] 100.0% --------------------------------------------------------------------- taylor-invert [18] 100.0% [22] 320(5.8%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [85] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17]100.0% [23] 298(5.4%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [29] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17]100.0% [24] 200(3.6%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [30] 100.0% --------------------------------------------------------------------- debug-print [19] 100.0% [25] 182(3.3%) 182(3.3%) for-loop ...es/herbie/findroot/src/debug.rkt:116:2 --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17]100.0% [26] 168(3.0%) 168(3.0%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 --------------------------------------------------------------------- run-improve47 [20] 100.0% [27] 2918(52.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [31] 100.0% --------------------------------------------------------------------- prepare-points-intervals [21] 100.0% [28] 1694(30.7%) 152(2.8%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 ??? [32] 68.2% loop [34] 22.8% --------------------------------------------------------------------- get-final-combination [23] 100.0% [29] 298(5.4%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [35] 100.0% --------------------------------------------------------------------- oracle-error [24] 100.0% [30] 200(3.6%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 map [33] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [31] 2918(52.9%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [36] 52.8% simplify! [37] 24.0% finalize-iter! [39] 17.0% gen-rewrites! [42] 6.2% --------------------------------------------------------------------- loop [28] 100.0% [32] 1156(21.0%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [45] 87.4% loop [43] 12.6% --------------------------------------------------------------------- for-loop [30] 28.4% f40 [14] 71.6% [33] 704(12.8%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [38] 71.6% ??? [41] 28.4% --------------------------------------------------------------------- loop [28] 100.0% [34] 386(7.0%) 186(3.4%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [81] 51.8% --------------------------------------------------------------------- infer-splitpoints [29] 100.0% [35] 298(5.4%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [40] 100.0% --------------------------------------------------------------------- run-iter! [31] 100.0% [36] 1540(27.9%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [44] 100.0% --------------------------------------------------------------------- run-iter! [31] 100.0% [37] 700(12.7%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [47] 100.0% --------------------------------------------------------------------- map [33] 100.0% [38] 504(9.1%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [46] 100.0% --------------------------------------------------------------------- run-iter! [31] 100.0% [39] 496(9.0%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [48] 100.0% --------------------------------------------------------------------- for-loop [35] 100.0% [40] 298(5.4%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 sort-context-on-expr [51] 51.7% err-lsts->split-indices [52] 48.3% --------------------------------------------------------------------- map [33] 100.0% [41] 200(3.6%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [49] 100.0% --------------------------------------------------------------------- run-iter! [31] 100.0% [42] 182(3.3%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [50] 100.0% --------------------------------------------------------------------- ??? [32] 100.0% [43] 146(2.6%) 0(0.0%) loop (unknown source) sample-multi-bounded [45] 100.0% --------------------------------------------------------------------- gen-series! [36] 100.0% [44] 1540(27.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [53] 100.0% --------------------------------------------------------------------- loop [43] 12.6% ??? [32] 87.4% [45] 1156(21.0%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [54] 84.6% for-loop [59] 15.4% --------------------------------------------------------------------- f61 [15] 48.5% parse-loop74 [38] 51.5% [46] 978(17.7%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [76] 100.0% --------------------------------------------------------------------- simplify! [37] 100.0% [47] 700(12.7%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [55] 100.0% --------------------------------------------------------------------- finalize-iter! [39] 100.0% [48] 496(9.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [56] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17] 44.8% ??? [41] 55.2% [49] 362(6.6%) 162(2.9%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ??? [57] 55.2% --------------------------------------------------------------------- gen-rewrites! [42] 100.0% [50] 182(3.3%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [58] 100.0% --------------------------------------------------------------------- option-on-expr [40] 100.0% [51] 154(2.8%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [60] 100.0% --------------------------------------------------------------------- option-on-expr [40] 100.0% [52] 144(2.6%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [61] 100.0% --------------------------------------------------------------------- for-loop [44] 100.0% [53] 1540(27.9%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [62] 100.0% --------------------------------------------------------------------- sample-multi-bounded [45] 100.0% [54] 978(17.7%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [64] 66.1% build--> [65] 33.9% --------------------------------------------------------------------- ??? [47] 100.0% [55] 700(12.7%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [63] 100.0% --------------------------------------------------------------------- ??? [48] 100.0% [56] 496(9.0%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [66] 66.1% errors [70] 33.9% --------------------------------------------------------------------- ??? [49] 100.0% [57] 200(3.6%) 200(3.6%) ??? ...ects/racket/contract/private/prop.rkt:301:4 --------------------------------------------------------------------- for-loop [50] 100.0% [58] 182(3.3%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [67] 100.0% --------------------------------------------------------------------- sample-multi-bounded [45] 100.0% [59] 178(3.2%) 178(3.2%) for-loop ...es/herbie/findroot/src/points.rkt:20:4 --------------------------------------------------------------------- sort-context-on-expr [51] 100.0% [60] 154(2.8%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [68] 100.0% --------------------------------------------------------------------- err-lsts->split-indices [52] 100.0% [61] 144(2.6%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [69] 100.0% --------------------------------------------------------------------- taylor-alt [53] 100.0% [62] 1540(27.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [81] 100.0% --------------------------------------------------------------------- egraph-run [55] 100.0% [63] 700(12.7%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [71] 100.0% --------------------------------------------------------------------- random-ranges [54] 100.0% [64] 646(11.7%) 320(5.8%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [72] 50.5% --------------------------------------------------------------------- random-ranges [54] 100.0% [65] 332(6.0%) 332(6.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 --------------------------------------------------------------------- for-loop [56] 100.0% [66] 328(5.9%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [70] 100.0% --------------------------------------------------------------------- rewrite-expression-head24 [58] 100.0% [67] 182(3.3%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [73] 100.0% --------------------------------------------------------------------- ??? [60] 100.0% [68] 154(2.8%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [74] 100.0% --------------------------------------------------------------------- loop [61] 100.0% [69] 144(2.6%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [75] 100.0% --------------------------------------------------------------------- for-loop [56] 18.6% atab-add-altn [66] 36.4% .../more-scheme.rkt:261:28 [17] 45.0% [70] 902(16.4%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [77] 81.6% temp85_0 [76] 18.4% --------------------------------------------------------------------- egraph-add-exprs [63] 100.0% [71] 700(12.7%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [78] 100.0% --------------------------------------------------------------------- cons/c [64] 100.0% [72] 326(5.9%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [79] 100.0% --------------------------------------------------------------------- rewriter [67] 100.0% [73] 182(3.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [85] 100.0% --------------------------------------------------------------------- generic-sort/key [68] 25.0% copying-mergesort [74] 75.0% [74] 154(2.8%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [74] 75.0% jloop [80] 25.0% --------------------------------------------------------------------- for-loop [69] 100.0% [75] 144(2.6%) 144(2.6%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 --------------------------------------------------------------------- errors [70] 14.5% eval-const-expr [46] 85.5% [76] 1144(20.7%) 0(0.0%) temp85_0 (unknown source) compile15 [82] 100.0% --------------------------------------------------------------------- errors [70] 100.0% [77] 736(13.3%) 198(3.6%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [17] 73.1% --------------------------------------------------------------------- ??? [71] 100.0% [78] 700(12.7%) 700(12.7%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 --------------------------------------------------------------------- coerce-contract [72] 100.0% [79] 326(5.9%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [83] 100.0% --------------------------------------------------------------------- copying-mergesort [74] 100.0% [80] 154(2.8%) 0(0.0%) jloop ...5/collects/racket/private/sort.rkt:120:23 ??? [81] 100.0% --------------------------------------------------------------------- jloop [80] 8.1% loop [34] 10.6% ??? [3] 20.6% location-do [84] 30.4% for-loop [62] 30.4% [81] 1894(34.3%) 154(2.8%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [84] 30.4% approximate9 [2] 30.4% hash-ref! [85] 20.6% ival-mult [87] 10.6% --------------------------------------------------------------------- temp85_0 [76] 100.0% [82] 1144(20.7%) 0(0.0%) compile15 (unknown source) temp91_0 [86] 100.0% --------------------------------------------------------------------- coerce-contract/f [79] 100.0% [83] 326(5.9%) 326(5.9%) coerce-simple-value ...ract/private/guts.rkt:385:0 --------------------------------------------------------------------- location-do [84] 38.4% ??? [81] 61.6% [84] 1540(27.9%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [81] 61.6% location-do [84] 38.4% --------------------------------------------------------------------- first-nonzero-exp [22] 5.9% ??? [89] 7.0% for-loop [73] 13.5% ??? [81] 21.0% loop [7] 21.0% ??? [3] 31.6% [85] 1352(24.5%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [3] 52.6% taylor [13] 14.0% matcher [91] 13.5% ??? [89] 7.0% ??? [4] 7.0% f40 [14] 5.9% --------------------------------------------------------------------- compile15 [82] 100.0% [86] 1144(20.7%) 0(0.0%) temp91_0 (unknown source) temp118_0 [88] 83.9% compile-top9 [90] 16.1% --------------------------------------------------------------------- ??? [81] 100.0% [87] 200(3.6%) 200(3.6%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 --------------------------------------------------------------------- temp91_0 [86] 100.0% [88] 960(17.4%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [92] 100.0% --------------------------------------------------------------------- hash-ref! [85] 100.0% [89] 474(8.6%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [85] 100.0% --------------------------------------------------------------------- temp91_0 [86] 100.0% [90] 184(3.3%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [93] 100.0% --------------------------------------------------------------------- hash-ref! [85] 100.0% [91] 182(3.3%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [94] 100.0% --------------------------------------------------------------------- temp118_0 [88] 100.0% [92] 960(17.4%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [95] 100.0% --------------------------------------------------------------------- compile-top9 [90] 100.0% [93] 184(3.3%) 0(0.0%) compile-forms33 (unknown source) for-loop [99] 100.0% --------------------------------------------------------------------- matcher [91] 100.0% [94] 182(3.3%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [96] 100.0% --------------------------------------------------------------------- expand-capturing-lifts [92] 100.0% [95] 960(17.4%) 320(5.8%) lambda-clause-expander (unknown source) finish-bodys [97] 66.7% --------------------------------------------------------------------- ??? [94] 100.0% [96] 182(3.3%) 0(0.0%) for-loop ...ie/findroot/src/core/matcher.rkt:103:4 foldl [98] 100.0% --------------------------------------------------------------------- lambda-clause-expander [95] 28.4% for-loop [99] 71.6% [97] 640(11.6%) 0(0.0%) finish-bodys (unknown source) for-loop [99] 100.0% --------------------------------------------------------------------- for-loop [96] 100.0% [98] 182(3.3%) 0(0.0%) foldl ....5/collects/racket/private/list.rkt:229:4 ??? [100] 100.0% --------------------------------------------------------------------- fallback-loop [16] 1.8% compile-forms33 [93] 22.3% for-loop [99] 34.3% finish-bodys [97] 41.6% [99] 824(14.9%) 350(6.3%) for-loop (unknown source) for-loop [99] 34.3% finish-bodys [97] 30.2% dispatch-variable [101] 9.6% expand-identifier [5] 1.8% --------------------------------------------------------------------- foldl [98] 100.0% [100] 182(3.3%) 0(0.0%) ??? ...s/herbie/findroot/src/core/matcher.rkt:25:7 core457 [102] 100.0% --------------------------------------------------------------------- for-loop [99] 100.0% [101] 474(8.6%) 474(8.6%) dispatch-variable (unknown source) --------------------------------------------------------------------- ??? [100] 100.0% [102] 182(3.3%) 182(3.3%) core457 ...acket/contract/private/arr-i.rkt:976:19 ---------------------------------------------------------------------