Profiling results ----------------- Total cpu time observed: 8554ms (out of 8704ms) Number of samples taken: 47 (once every 182ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== [1] 8554(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [7] 100.0% ---------------------------------------------------------------------- ??? [72] 100.0% [2] 1876(21.9%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [8] 79.5% for-loop [11] 10.7% debug-print [12] 9.8% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [3] 342(4.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [9] 100.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [4] 342(4.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [10] 100.0% ---------------------------------------------------------------------- map [73] 100.0% [5] 180(2.1%) 0(0.0%) parse-loop49 (unknown source) loop [92] 100.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [6] 178(2.1%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [13] 50.0% rewriter [55] 50.0% ---------------------------------------------------------------------- ??? [1] 100.0% [7] 8554(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [8] 1492(17.4%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [62] 87.4% get-coeffs [16] 12.6% ---------------------------------------------------------------------- ??? [3] 100.0% [9] 342(4.0%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [62] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [10] 342(4.0%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [62] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [11] 200(2.3%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor-quotient [15] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [12] 184(2.2%) 184(2.2%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ---------------------------------------------------------------------- matcher [6] 100.0% [13] 178(2.1%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [17] 100.0% ---------------------------------------------------------------------- profile-thunk16 [7] 100.0% [14] 8554(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [18] 100.0% ---------------------------------------------------------------------- for-loop [11] 100.0% [15] 200(2.3%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [19] 100.0% ---------------------------------------------------------------------- loop [8] 100.0% [16] 188(2.2%) 0(0.0%) get-coeffs ...ie/findroot/src/core/taylor.rkt:64:2 listof [101] 100.0% ---------------------------------------------------------------------- ??? [13] 100.0% [17] 178(2.1%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [62] 100.0% ---------------------------------------------------------------------- for-loop [63] 7.3% run [14] 92.7% [18] 8554(100.0%) 360(4.2%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [20] 64.5% prepare-points-intervals [21] 15.7% oracle-error [22] 5.3% errors [56] 3.6% get-final-combination [23] 3.5% ??? [94] 3.2% ??? [72] 2.0% ---------------------------------------------------------------------- taylor-quotient [15] 100.0% [19] 200(2.3%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [62] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [20] 5892(68.9%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [24] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [21] 1342(15.7%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [25] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [22] 454(5.3%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [26] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [23] 406(4.7%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [27] 100.0% ---------------------------------------------------------------------- run-improve47 [20] 100.0% [24] 5892(68.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [28] 100.0% ---------------------------------------------------------------------- prepare-points-intervals [21] 100.0% [25] 1342(15.7%) 166(1.9%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [29] 49.0% ??? [30] 38.6% ---------------------------------------------------------------------- oracle-error [22] 100.0% [26] 454(5.3%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [92] 66.5% map [73] 33.5% ---------------------------------------------------------------------- get-final-combination [23] 100.0% [27] 406(4.7%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [31] 100.0% ---------------------------------------------------------------------- for-loop [24] 100.0% [28] 5892(68.9%) 190(2.2%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [32] 47.8% gen-series! [33] 31.8% simplify! [34] 14.1% gen-rewrites! [37] 3.0% ---------------------------------------------------------------------- loop [25] 100.0% [29] 658(7.7%) 152(1.8%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 real->precision [36] 48.0% ??? [72] 28.9% ---------------------------------------------------------------------- loop [25] 100.0% [30] 518(6.1%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [95] 59.5% loop [92] 40.5% ---------------------------------------------------------------------- infer-splitpoints [27] 100.0% [31] 406(4.7%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [35] 100.0% ---------------------------------------------------------------------- run-iter! [28] 100.0% [32] 2818(32.9%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [38] 100.0% ---------------------------------------------------------------------- run-iter! [28] 100.0% [33] 1876(21.9%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [39] 100.0% ---------------------------------------------------------------------- run-iter! [28] 100.0% [34] 830(9.7%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [40] 100.0% ---------------------------------------------------------------------- for-loop [31] 100.0% [35] 406(4.7%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 for-loop [41] 50.7% sort-context-on-expr [42] 49.3% ---------------------------------------------------------------------- loop [29] 100.0% [36] 316(3.7%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [72] 100.0% ---------------------------------------------------------------------- run-iter! [28] 100.0% [37] 178(2.1%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [43] 100.0% ---------------------------------------------------------------------- finalize-iter! [32] 100.0% [38] 2818(32.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [44] 100.0% ---------------------------------------------------------------------- gen-series! [33] 100.0% [39] 1876(21.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [45] 100.0% ---------------------------------------------------------------------- simplify! [34] 100.0% [40] 830(9.7%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [46] 100.0% ---------------------------------------------------------------------- option-on-expr [35] 100.0% [41] 206(2.4%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [56] 100.0% ---------------------------------------------------------------------- option-on-expr [35] 100.0% [42] 200(2.3%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [47] 100.0% ---------------------------------------------------------------------- gen-rewrites! [37] 100.0% [43] 178(2.1%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [48] 100.0% ---------------------------------------------------------------------- ??? [38] 100.0% [44] 2818(32.9%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [50] 60.0% loop [52] 25.8% errors [56] 7.1% for-loop [53] 7.1% ---------------------------------------------------------------------- for-loop [39] 100.0% [45] 1876(21.9%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [49] 100.0% ---------------------------------------------------------------------- ??? [40] 100.0% [46] 830(9.7%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [51] 100.0% ---------------------------------------------------------------------- sort-context-on-expr [42] 100.0% [47] 200(2.3%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 loop [54] 100.0% ---------------------------------------------------------------------- for-loop [43] 100.0% [48] 178(2.1%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [55] 100.0% ---------------------------------------------------------------------- taylor-alt [45] 100.0% [49] 1876(21.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [72] 100.0% ---------------------------------------------------------------------- for-loop [44] 100.0% [50] 1690(19.8%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [56] 80.1% append-at-pnts [60] 10.1% loop [61] 9.8% ---------------------------------------------------------------------- egraph-run [46] 100.0% [51] 830(9.7%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [57] 100.0% ---------------------------------------------------------------------- for-loop [44] 100.0% [52] 728(8.5%) 184(2.2%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [58] 49.5% loop [65] 25.3% ---------------------------------------------------------------------- for-loop [44] 100.0% [53] 200(2.3%) 200(2.3%) for-loop .../findroot/src/core/alt-table.rkt:110:2 ---------------------------------------------------------------------- ??? [47] 100.0% [54] 200(2.3%) 0(0.0%) loop ...7.5/collects/racket/private/sort.rkt:96:12 ??? [72] 100.0% ---------------------------------------------------------------------- matcher [6] 50.0% rewrite-expression-head24 [48] 50.0% [55] 178(2.1%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [59] 100.0% ---------------------------------------------------------------------- for-loop [44] 9.0% for-loop [41] 9.3% .../more-scheme.rkt:261:28 [18] 20.7% atab-add-altn [50] 61.0% [56] 2220(26.0%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [63] 72.4% temp85_0 [85] 17.9% eval-prog [66] 9.6% ---------------------------------------------------------------------- egraph-add-exprs [51] 100.0% [57] 830(9.7%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [64] 100.0% ---------------------------------------------------------------------- loop [52] 1.6% loop [58] 98.4% [58] 360(4.2%) 360(4.2%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [58] 98.4% ---------------------------------------------------------------------- rewriter [55] 100.0% [59] 178(2.1%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [62] 100.0% ---------------------------------------------------------------------- atab-add-altn [50] 100.0% [60] 170(2.0%) 0(0.0%) append-at-pnts ...oot/src/core/alt-table.rkt:137:0 loop [65] 100.0% ---------------------------------------------------------------------- atab-add-altn [50] 100.0% [61] 166(1.9%) 166(1.9%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ---------------------------------------------------------------------- for-loop [10] 2.9% for-loop [17] 3.5% for-loop [9] 4.3% ??? [70] 5.5% for-loop [59] 7.1% ??? [69] 7.1% first-nonzero-exp [19] 11.9% ??? [68] 19.3% ??? [72] 19.3% loop [8] 19.3% [62] 1682(19.7%) 178(2.1%) hash-ref! .../racket/private/more-scheme.rkt:376:2 f40 [67] 31.1% ??? [69] 26.3% ??? [68] 19.3% matcher [6] 7.1% ??? [70] 5.5% ??? [3] 4.3% ??? [4] 2.9% ---------------------------------------------------------------------- errors [56] 100.0% [63] 1608(18.8%) 356(4.2%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [18] 77.9% ---------------------------------------------------------------------- ??? [57] 100.0% [64] 830(9.7%) 830(9.7%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ---------------------------------------------------------------------- append-at-pnts [60] 48.0% loop [52] 52.0% [65] 354(4.1%) 354(4.1%) loop ...erbie/findroot/src/core/alt-table.rkt:92:2 ---------------------------------------------------------------------- errors [56] 100.0% [66] 214(2.5%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 ??? [71] 100.0% ---------------------------------------------------------------------- loop [92] 2.4% map [73] 30.6% hash-ref! [62] 67.0% [67] 1504(17.6%) 0(0.0%) f40 (unknown source) map [73] 100.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [68] 1304(15.2%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [62] 100.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [69] 1304(15.2%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [72] 76.7% hash-ref! [62] 23.3% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [70] 554(6.5%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [62] 100.0% ---------------------------------------------------------------------- eval-prog [66] 100.0% [71] 214(2.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ??? [74] 100.0% ---------------------------------------------------------------------- loop [29] 6.5% loop [54] 6.8% real->precision [36] 10.8% .../more-scheme.rkt:261:28 [18] 11.9% ??? [69] 14.8% location-do [75] 24.6% for-loop [49] 24.6% [72] 2932(34.3%) 550(6.4%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [75] 24.6% approximate9 [2] 24.6% hash-ref! [62] 14.8% ival-div [78] 6.5% bf [81] 5.4% ??? [80] 5.4% ---------------------------------------------------------------------- for-loop [26] 9.2% f40 [67] 90.8% [73] 1656(19.4%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [76] 58.7% f40 [67] 27.8% ??? [97] 9.2% parse-loop49 [5] 2.2% ??? [79] 2.2% ---------------------------------------------------------------------- ??? [71] 100.0% [74] 214(2.5%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:567:4 ??? [77] 100.0% ---------------------------------------------------------------------- location-do [75] 42.0% ??? [72] 58.0% [75] 1876(21.9%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [72] 58.0% location-do [75] 42.0% ---------------------------------------------------------------------- map [73] 100.0% [76] 1324(15.5%) 552(6.5%) parse-loop74 (unknown source) eval-const-expr [82] 58.3% ---------------------------------------------------------------------- ??? [74] 100.0% [77] 214(2.5%) 0(0.0%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [83] 100.0% ---------------------------------------------------------------------- ??? [72] 100.0% [78] 190(2.2%) 190(2.2%) ival-div ...bie/findroot/src/biginterval.rkt:149:0 ---------------------------------------------------------------------- map [73] 100.0% [79] 180(2.1%) 180(2.1%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 ---------------------------------------------------------------------- ??? [72] 100.0% [80] 158(1.8%) 158(1.8%) ??? ...ects/racket/contract/private/guts.rkt:770:8 ---------------------------------------------------------------------- ??? [72] 100.0% [81] 158(1.8%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 ??? [84] 100.0% ---------------------------------------------------------------------- parse-loop74 [76] 100.0% [82] 772(9.0%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [85] 100.0% ---------------------------------------------------------------------- ??? [77] 100.0% [83] 214(2.5%) 214(2.5%) ??? ...ects/racket/contract/private/list.rkt:163:5 ---------------------------------------------------------------------- bf [81] 100.0% [84] 158(1.8%) 158(1.8%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ---------------------------------------------------------------------- errors [56] 34.0% eval-const-expr [82] 66.0% [85] 1170(13.7%) 0(0.0%) temp85_0 (unknown source) compile15 [86] 100.0% ---------------------------------------------------------------------- temp85_0 [85] 100.0% [86] 1170(13.7%) 0(0.0%) compile15 (unknown source) temp91_0 [87] 81.4% loop [92] 18.6% ---------------------------------------------------------------------- compile15 [86] 100.0% [87] 952(11.1%) 0(0.0%) temp91_0 (unknown source) temp118_0 [88] 77.7% compile-top9 [89] 22.3% ---------------------------------------------------------------------- temp91_0 [87] 100.0% [88] 740(8.7%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [90] 100.0% ---------------------------------------------------------------------- temp91_0 [87] 100.0% [89] 212(2.5%) 212(2.5%) compile-top9 (unknown source) ---------------------------------------------------------------------- loop [92] 22.8% temp118_0 [88] 77.2% [90] 958(11.2%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [91] 77.2% loop [92] 22.8% ---------------------------------------------------------------------- expand-capturing-lifts [90] 100.0% [91] 740(8.7%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [93] 51.1% loop [92] 48.9% ---------------------------------------------------------------------- parse-loop49 [5] 7.1% expand-capturing-lifts [90] 8.6% compile15 [86] 8.6% loop [92] 13.0% ??? [30] 16.5% for-loop [26] 17.8% lambda-clause-expander [91] 28.5% [92] 1272(14.9%) 416(4.9%) loop (unknown source) sample-multi-bounded [95] 16.5% loop [92] 13.0% expand-id-application-form17 [98] 12.9% ??? [97] 11.9% expand-capturing-lifts [90] 8.6% f40 [67] 7.1% ??? [94] 5.9% ---------------------------------------------------------------------- lambda-clause-expander [91] 21.0% for-loop [96] 79.0% [93] 378(4.4%) 0(0.0%) finish-bodys (unknown source) for-loop [96] 100.0% ---------------------------------------------------------------------- loop [92] 21.7% .../more-scheme.rkt:261:28 [18] 78.3% [94] 692(8.1%) 692(8.1%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ---------------------------------------------------------------------- loop [92] 40.5% ??? [30] 59.5% [95] 518(6.1%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [99] 100.0% ---------------------------------------------------------------------- for-loop [96] 16.6% finish-bodys [93] 83.4% [96] 378(4.4%) 378(4.4%) for-loop (unknown source) finish-bodys [93] 66.8% for-loop [96] 16.6% ---------------------------------------------------------------------- map [73] 50.0% loop [92] 50.0% [97] 304(3.6%) 304(3.6%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ---------------------------------------------------------------------- loop [92] 100.0% [98] 164(1.9%) 0(0.0%) expand-id-application-form17 (unknown source) resolve+shift28 [100] 100.0% ---------------------------------------------------------------------- sample-multi-bounded [95] 100.0% [99] 518(6.1%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 listof [101] 59.5% build--> [102] 40.5% ---------------------------------------------------------------------- expand-id-application-form17 [98]100.0% [100] 164(1.9%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [103] 100.0% ---------------------------------------------------------------------- get-coeffs [16] 37.9% random-ranges [99] 62.1% [101] 496(5.8%) 188(2.2%) listof .../racket/contract/private/guts.rkt:500:15 coerce-contract [104] 62.1% ---------------------------------------------------------------------- random-ranges [99] 100.0% [102] 210(2.5%) 210(2.5%) build--> ...act/private/arrow-val-first.rkt:1214:0 ---------------------------------------------------------------------- resolve+shift28 [100] 100.0% [103] 164(1.9%) 164(1.9%) fallback-loop (unknown source) ---------------------------------------------------------------------- listof [101] 100.0% [104] 308(3.6%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [105] 100.0% ---------------------------------------------------------------------- coerce-contract [104] 100.0% [105] 308(3.6%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [106] 100.0% ---------------------------------------------------------------------- coerce-contract/f [105] 100.0% [106] 308(3.6%) 308(3.6%) coerce-simple-value ...ract/private/guts.rkt:385:0 ----------------------------------------------------------------------