Profiling results ----------------- Total cpu time observed: 5096ms (out of 5136ms) Number of samples taken: 26 (once every 196ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== [1] 5096(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [8] 100.0% ---------------------------------------------------------------------- ??? [82] 100.0% [2] 1178(23.1%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [9] 43.5% for-loop [10] 40.7% taylor-quotient [13] 15.8% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [3] 356(7.0%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 ??? [12] 55.6% hash-ref! [20] 44.4% ---------------------------------------------------------------------- for-loop [90] 100.0% [4] 210(4.1%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [11] 100.0% ---------------------------------------------------------------------- matcher [78] 100.0% [5] 162(3.2%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:127:11 for-loop [14] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [6] 158(3.1%) 0(0.0%) f61 (unknown source) map [32] 100.0% ---------------------------------------------------------------------- for-loop [90] 100.0% [7] 158(3.1%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [15] 100.0% ---------------------------------------------------------------------- ??? [1] 100.0% [8] 5096(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [9] 512(10.0%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [82] 69.5% hash-ref! [20] 30.5% ---------------------------------------------------------------------- approximate9 [2] 100.0% [10] 480(9.4%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [23] 100.0% ---------------------------------------------------------------------- expand-identifier [4] 100.0% [11] 210(4.1%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [17] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [12] 198(3.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [20] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [13] 186(3.6%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [18] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [14] 162(3.2%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:129:15 matcher [78] 100.0% ---------------------------------------------------------------------- syntax-e [7] 100.0% [15] 158(3.1%) 0(0.0%) syntax-e/no-taint (unknown source) loop [74] 100.0% ---------------------------------------------------------------------- profile-thunk16 [8] 100.0% [16] 5096(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [19] 100.0% ---------------------------------------------------------------------- resolve+shift28 [11] 100.0% [17] 210(4.1%) 0(0.0%) fallback-loop (unknown source) for-loop [90] 100.0% ---------------------------------------------------------------------- taylor-quotient [13] 100.0% [18] 186(3.6%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [20] 100.0% ---------------------------------------------------------------------- for-loop [73] 7.1% run [16] 92.9% [19] 5096(100.0%) 372(7.3%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [21] 60.3% prepare-points-intervals [22] 20.5% errors [69] 4.1% oracle-error [25] 4.0% ??? [43] 3.9% ??? [82] 2.0% ??? [29] 1.5% ---------------------------------------------------------------------- ??? [26] 9.5% ??? [12] 9.5% loop [9] 11.2% ??? [3] 11.3% first-nonzero-exp [18] 26.6% ??? [82] 31.9% [20] 698(13.7%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 f40 [27] 26.6% ??? [3] 20.8% f61 [6] 11.3% ??? [28] 11.2% taylor [23] 11.2% ??? [26] 9.5% parse-loop74 [24] 9.5% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 100.0% [21] 3438(67.5%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [30] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 100.0% [22] 1044(20.5%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [31] 100.0% ---------------------------------------------------------------------- map [32] 7.2% hash-ref! [20] 24.5% for-loop [10] 30.5% taylor [23] 37.7% [23] 636(12.5%) 184(3.6%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 debug-print [33] 47.8% taylor [23] 37.7% map [32] 7.2% ---------------------------------------------------------------------- parse-loop74 [24] 27.8% hash-ref! [20] 27.8% map [32] 44.4% [24] 356(7.0%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [34] 72.2% parse-loop74 [24] 27.8% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 100.0% [25] 206(4.0%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [35] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [26] 198(3.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:327:33 hash-ref! [20] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 33.3% map [32] 66.7% [27] 186(3.6%) 0(0.0%) f40 (unknown source) map [32] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [28] 156(3.1%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [82] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 100.0% [29] 154(3.0%) 154(3.0%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ---------------------------------------------------------------------- run-improve47 [21] 100.0% [30] 3438(67.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [36] 100.0% ---------------------------------------------------------------------- prepare-points-intervals [22] 100.0% [31] 1044(20.5%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [37] 79.1% ??? [38] 20.9% ---------------------------------------------------------------------- f61 [6] 29.9% taylor [23] 34.8% f40 [27] 35.2% [32] 528(10.4%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 taylor [23] 34.8% parse-loop74 [24] 29.9% f40 [27] 23.5% simplify* [39] 11.7% ---------------------------------------------------------------------- taylor [23] 100.0% [33] 452(8.9%) 296(5.8%) debug-print ...herbie/findroot/src/debug.rkt:110:0 for-loop [40] 34.5% ---------------------------------------------------------------------- parse-loop74 [24] 100.0% [34] 356(7.0%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [75] 100.0% ---------------------------------------------------------------------- oracle-error [25] 100.0% [35] 206(4.0%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [74] 100.0% ---------------------------------------------------------------------- for-loop [30] 100.0% [36] 3438(67.5%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [41] 46.6% gen-series! [42] 34.3% simplify! [44] 14.4% gen-rewrites! [47] 4.7% ---------------------------------------------------------------------- loop [31] 100.0% [37] 826(16.2%) 200(3.9%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [43] 51.3% real->precision [46] 24.5% ---------------------------------------------------------------------- loop [31] 100.0% [38] 218(4.3%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [45] 100.0% ---------------------------------------------------------------------- map [32] 100.0% [39] 186(3.6%) 186(3.6%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 ---------------------------------------------------------------------- debug-print [33] 100.0% [40] 156(3.1%) 156(3.1%) for-loop ...es/herbie/findroot/src/debug.rkt:116:2 ---------------------------------------------------------------------- run-iter! [36] 100.0% [41] 1602(31.4%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [48] 100.0% ---------------------------------------------------------------------- run-iter! [36] 100.0% [42] 1178(23.1%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [49] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 32.1% loop [37] 67.9% [43] 624(12.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-div [51] 35.9% ??? [54] 32.1% ival-add [53] 32.1% ---------------------------------------------------------------------- run-iter! [36] 100.0% [44] 496(9.7%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [50] 100.0% ---------------------------------------------------------------------- ??? [38] 100.0% [45] 218(4.3%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [52] 100.0% ---------------------------------------------------------------------- loop [37] 100.0% [46] 202(4.0%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [82] 100.0% ---------------------------------------------------------------------- run-iter! [36] 100.0% [47] 162(3.2%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [55] 100.0% ---------------------------------------------------------------------- finalize-iter! [41] 100.0% [48] 1602(31.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [56] 90.1% atab-add-altns [63] 9.9% ---------------------------------------------------------------------- gen-series! [42] 100.0% [49] 1178(23.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [57] 100.0% ---------------------------------------------------------------------- simplify! [44] 100.0% [50] 496(9.7%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [58] 100.0% ---------------------------------------------------------------------- ??? [43] 100.0% [51] 224(4.4%) 224(4.4%) ival-div ...bie/findroot/src/biginterval.rkt:156:0 ---------------------------------------------------------------------- sample-multi-bounded [45] 100.0% [52] 218(4.3%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [59] 100.0% ---------------------------------------------------------------------- ??? [43] 100.0% [53] 200(3.9%) 0(0.0%) ival-add ...bie/findroot/src/biginterval.rkt:102:0 bfadd [60] 100.0% ---------------------------------------------------------------------- for-loop [61] 50.0% ??? [43] 50.0% [54] 200(3.9%) 200(3.9%) ??? ...cts/racket/contract/private/list.rkt:209:10 for-loop [61] 50.0% ---------------------------------------------------------------------- gen-rewrites! [47] 100.0% [55] 162(3.2%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [62] 100.0% ---------------------------------------------------------------------- ??? [48] 100.0% [56] 1444(28.3%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [65] 60.9% errors [69] 39.1% ---------------------------------------------------------------------- for-loop [49] 100.0% [57] 1178(23.1%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [64] 100.0% ---------------------------------------------------------------------- ??? [50] 100.0% [58] 496(9.7%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [66] 100.0% ---------------------------------------------------------------------- random-ranges [52] 100.0% [59] 218(4.3%) 218(4.3%) cons/c .../racket/contract/private/guts.rkt:500:15 ---------------------------------------------------------------------- ival-add [53] 100.0% [60] 200(3.9%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [67] 100.0% ---------------------------------------------------------------------- ??? [54] 100.0% [61] 200(3.9%) 0(0.0%) for-loop ...acket/contract/private/list.rkt:212:15 ??? [54] 100.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [62] 162(3.2%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [68] 100.0% ---------------------------------------------------------------------- ??? [48] 100.0% [63] 158(3.1%) 0(0.0%) atab-add-altns ...root/src/core/alt-table.rkt:40:0 atab-add-altn [65] 100.0% ---------------------------------------------------------------------- taylor-alt [57] 100.0% [64] 1178(23.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [82] 100.0% ---------------------------------------------------------------------- atab-add-altns [63] 15.2% for-loop [56] 84.8% [65] 1038(20.4%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [69] 65.5% append-at-pnts [71] 34.5% ---------------------------------------------------------------------- egraph-run [58] 100.0% [66] 496(9.7%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [70] 100.0% ---------------------------------------------------------------------- bfadd [60] 100.0% [67] 200(3.9%) 200(3.9%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ---------------------------------------------------------------------- rewrite-expression-head24 [62] 20.0% matcher [78] 80.0% [68] 162(3.2%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [72] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 14.3% for-loop [56] 38.8% atab-add-altn [65] 46.8% [69] 1452(28.5%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [73] 74.9% temp85_0 [75] 14.5% loop [74] 10.6% ---------------------------------------------------------------------- egraph-add-exprs [66] 100.0% [70] 496(9.7%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [76] 100.0% ---------------------------------------------------------------------- atab-add-altn [65] 100.0% [71] 358(7.0%) 0(0.0%) append-at-pnts ...oot/src/core/alt-table.rkt:137:0 loop [77] 55.9% loop [74] 44.1% ---------------------------------------------------------------------- rewriter [68] 100.0% [72] 162(3.2%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 matcher [78] 100.0% ---------------------------------------------------------------------- errors [69] 100.0% [73] 1088(21.4%) 362(7.1%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [19] 66.7% ---------------------------------------------------------------------- append-at-pnts [71] 0.4% errors [69] 22.8% loop [74] 23.0% syntax-e/no-taint [15] 23.4% for-loop [35] 30.5% [74] 676(13.3%) 158(3.1%) loop (unknown source) ??? [80] 30.5% gf [95] 23.4% loop [74] 23.0% expand-capturing-lifts [87] 22.8% ---------------------------------------------------------------------- errors [69] 37.1% eval-const-expr [34] 62.9% [75] 566(11.1%) 0(0.0%) temp85_0 (unknown source) compile15 [79] 100.0% ---------------------------------------------------------------------- ??? [70] 100.0% [76] 496(9.7%) 496(9.7%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ---------------------------------------------------------------------- append-at-pnts [71] 100.0% [77] 200(3.9%) 200(3.9%) loop ...erbie/findroot/src/core/alt-table.rkt:92:2 ---------------------------------------------------------------------- for-loop [14] 44.4% for-loop [72] 55.6% [78] 162(3.2%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:115:2 ??? [5] 44.4% rewriter [68] 44.4% constant? [81] 11.1% ---------------------------------------------------------------------- temp85_0 [75] 100.0% [79] 566(11.1%) 0(0.0%) compile15 (unknown source) temp91_0 [83] 100.0% ---------------------------------------------------------------------- loop [74] 100.0% [80] 206(4.0%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [82] 100.0% ---------------------------------------------------------------------- matcher [78] 100.0% [81] 162(3.2%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [84] 100.0% ---------------------------------------------------------------------- ??? [28] 2.9% loop [9] 6.6% .../more-scheme.rkt:261:28 [19] 11.2% real->precision [46] 11.3% ??? [80] 11.5% location-do [85] 28.2% for-loop [64] 28.2% [82] 1786(35.0%) 608(11.9%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [85] 28.2% approximate9 [2] 28.2% hash-ref! [20] 9.6% ---------------------------------------------------------------------- compile15 [79] 100.0% [83] 566(11.1%) 0(0.0%) temp91_0 (unknown source) temp118_0 [86] 100.0% ---------------------------------------------------------------------- constant? [81] 100.0% [84] 162(3.2%) 162(3.2%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 ---------------------------------------------------------------------- location-do [85] 23.0% ??? [82] 77.0% [85] 1178(23.1%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [82] 77.0% location-do [85] 23.0% ---------------------------------------------------------------------- temp91_0 [83] 100.0% [86] 566(11.1%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [87] 100.0% ---------------------------------------------------------------------- loop [74] 21.4% temp118_0 [86] 78.6% [87] 720(14.1%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [88] 78.6% dispatch-transformer41 [91] 21.4% ---------------------------------------------------------------------- expand-capturing-lifts [87] 100.0% [88] 566(11.1%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [89] 100.0% ---------------------------------------------------------------------- lambda-clause-expander [88] 24.7% for-loop [90] 75.3% [89] 566(11.1%) 0(0.0%) finish-bodys (unknown source) for-loop [90] 100.0% ---------------------------------------------------------------------- fallback-loop [17] 2.9% for-loop [90] 13.6% finish-bodys [89] 83.5% [90] 566(11.1%) 210(4.1%) for-loop (unknown source) finish-bodys [89] 60.6% dispatch-transformer41 [91] 17.5% for-loop [90] 13.6% expand-identifier [4] 2.9% syntax-e [7] 2.5% ---------------------------------------------------------------------- expand-capturing-lifts [87] 43.8% for-loop [90] 56.2% [91] 352(6.9%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [92] 100.0% ---------------------------------------------------------------------- dispatch-transformer41 [91] 100.0% [92] 352(6.9%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [93] 56.2% apply-post-expansion [94] 43.8% ---------------------------------------------------------------------- apply-transformer52 [92] 100.0% [93] 198(3.9%) 198(3.9%) apply-transformer-in-context (unknown source) ---------------------------------------------------------------------- apply-transformer52 [92] 100.0% [94] 154(3.0%) 0(0.0%) apply-post-expansion (unknown source) gf [95] 100.0% ---------------------------------------------------------------------- apply-post-expansion [94] 49.4% loop [74] 50.6% [95] 312(6.1%) 154(3.0%) gf (unknown source) propagation-apply [96] 50.6% ---------------------------------------------------------------------- gf [95] 100.0% [96] 158(3.1%) 158(3.1%) propagation-apply (unknown source) ----------------------------------------------------------------------