Profiling results ----------------- Total cpu time observed: 6940ms (out of 7052ms) Number of samples taken: 49 (once every 142ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 6940(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [8] 100.0% ------------------------------------------------------------------------ ??? [64] 100.0% [2] 1704(24.6%) 0(0.0%) approximate9 ...faster-rr/src/core/taylor.rkt:11:0 loop [9] 81.1% taylor [15] 11.9% for-loop [16] 7.0% ------------------------------------------------------------------------ parse-loop74 [3] 22.9% map [80] 25.3% hash-ref! [68] 51.9% [3] 1602(23.1%) 0(0.0%) parse-loop74 (unknown source) f61 [10] 40.4% eval-const-expr [18] 36.7% parse-loop74 [3] 22.9% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [4] 892(12.9%) 0(0.0%) ??? ...herbie/faster-rr/src/core/taylor.rkt:300:23 for-loop [11] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [5] 792(11.4%) 0(0.0%) ??? ...herbie/faster-rr/src/core/taylor.rkt:406:23 for-loop [13] 58.6% for-loop [14] 41.4% ------------------------------------------------------------------------ expand-capturing-lifts [84] 12.8% loop [91] 25.8% for-loop [90] 61.5% [6] 784(11.3%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [12] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [7] 386(5.6%) 0(0.0%) f40 (unknown source) map [80] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [8] 6940(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [9] 1382(19.9%) 0(0.0%) loop .../herbie/faster-rr/src/core/taylor.rkt:86:4 ??? [64] 100.0% ------------------------------------------------------------------------ map [80] 9.2% parse-loop74 [3] 90.8% [10] 1110(16.0%) 0(0.0%) f61 (unknown source) eval-const-expr [18] 67.4% map [80] 32.6% ------------------------------------------------------------------------ ??? [4] 100.0% [11] 892(12.9%) 0(0.0%) for-loop ...e/faster-rr/src/core/taylor.rkt:303:27 hash-ref! [68] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [6] 100.0% [12] 784(11.3%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [19] 74.2% loop [91] 13.0% apply-post-expansion [22] 12.8% ------------------------------------------------------------------------ ??? [5] 100.0% [13] 464(6.7%) 0(0.0%) for-loop ...e/faster-rr/src/core/taylor.rkt:412:39 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [14] 328(4.7%) 0(0.0%) for-loop ...e/faster-rr/src/core/taylor.rkt:410:33 hash-ref! [68] 100.0% ------------------------------------------------------------------------ taylor [15] 33.7% approximate9 [2] 66.3% [15] 202(2.9%) 0(0.0%) taylor ...rbie/faster-rr/src/core/taylor.rkt:169:0 loop [20] 66.3% taylor [15] 33.7% ------------------------------------------------------------------------ approximate9 [2] 100.0% [16] 120(1.7%) 0(0.0%) for-loop ...ie/faster-rr/src/core/taylor.rkt:29:18 taylor-sqrt [21] 100.0% ------------------------------------------------------------------------ profile-thunk16 [8] 100.0% [17] 6940(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [23] 100.0% ------------------------------------------------------------------------ f61 [10] 43.9% parse-loop74 [3] 56.1% [18] 1704(24.6%) 0(0.0%) eval-const-expr ...aster-rr/src/programs.rkt:120:0 temp85_0 [70] 94.0% loop [91] 6.0% ------------------------------------------------------------------------ apply-transformer52 [12] 100.0% [19] 582(8.4%) 160(2.3%) apply-transformer-in-context (unknown source) ??? [24] 37.8% go [25] 34.7% ------------------------------------------------------------------------ taylor [15] 100.0% [20] 202(2.9%) 0(0.0%) loop ...herbie/faster-rr/src/core/taylor.rkt:267:2 hash-ref! [68] 100.0% ------------------------------------------------------------------------ for-loop [16] 100.0% [21] 120(1.7%) 0(0.0%) taylor-sqrt ...faster-rr/src/core/taylor.rkt:351:0 hash-ref! [68] 100.0% ------------------------------------------------------------------------ apply-transformer52 [12] 100.0% [22] 100(1.4%) 0(0.0%) apply-post-expansion (unknown source) gf [98] 100.0% ------------------------------------------------------------------------ for-loop [72] 5.7% run [17] 94.3% [23] 6940(100.0%) 300(4.3%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [26] 58.3% prepare-points-intervals [27] 20.3% oracle-error [28] 8.7% get-final-combination [29] 4.1% ??? [101] 3.5% errors [65] 2.9% ------------------------------------------------------------------------ apply-transformer-in-context [19]100.0% [24] 220(3.2%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [30] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [19]100.0% [25] 202(2.9%) 202(2.9%) go .../collects/racket/private/qq-and-or.rkt:50:20 ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 100.0% [26] 4338(62.5%) 0(0.0%) run-improve47 .../faster-rr/src/mainloop.rkt:346:0 for-loop [31] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 100.0% [27] 1410(20.3%) 0(0.0%) prepare-points-intervals ...r/src/points.rkt:120:0 loop [32] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 100.0% [28] 604(8.7%) 0(0.0%) oracle-error ...bie/faster-rr/src/points.rkt:177:0 for-loop [33] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 100.0% [29] 286(4.1%) 0(0.0%) get-final-combination ...rr/src/mainloop.rkt:371:0 infer-splitpoints [34] 100.0% ------------------------------------------------------------------------ ??? [24] 100.0% [30] 220(3.2%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [35] 100.0% ------------------------------------------------------------------------ run-improve47 [26] 100.0% [31] 4338(62.5%) 0(0.0%) for-loop ...erbie/faster-rr/src/mainloop.rkt:365:4 run-iter! [36] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [27] 100.0% [32] 1410(20.3%) 0(0.0%) loop ...lies/herbie/faster-rr/src/points.rkt:132:4 loop [37] 100.0% ------------------------------------------------------------------------ oracle-error [28] 100.0% [33] 604(8.7%) 100(1.4%) for-loop .../herbie/faster-rr/src/points.rkt:178:2 loop [91] 49.7% map [80] 33.8% ------------------------------------------------------------------------ get-final-combination [29] 100.0% [34] 286(4.1%) 0(0.0%) infer-splitpoints ...-rr/src/core/regimes.rkt:33:0 for-loop [38] 100.0% ------------------------------------------------------------------------ ??? [30] 100.0% [35] 220(3.2%) 0(0.0%) syntax->list (unknown source) loop [91] 100.0% ------------------------------------------------------------------------ for-loop [31] 100.0% [36] 4338(62.5%) 0(0.0%) run-iter! ...rbie/faster-rr/src/mainloop.rkt:327:0 gen-series! [39] 39.3% simplify! [40] 30.2% finalize-iter! [41] 25.5% localize! [44] 5.1% ------------------------------------------------------------------------ loop [32] 100.0% [37] 1410(20.3%) 100(1.4%) loop ...tlies/herbie/faster-rr/src/points.rkt:79:2 ??? [42] 71.6% real->precision [45] 14.2% ??? [48] 7.1% ------------------------------------------------------------------------ infer-splitpoints [34] 100.0% [38] 286(4.1%) 0(0.0%) for-loop ...ie/faster-rr/src/core/regimes.rkt:45:6 option-on-expr [43] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [39] 1704(24.6%) 0(0.0%) gen-series! ...ie/faster-rr/src/mainloop.rkt:160:0 for-loop [46] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [40] 1308(18.8%) 0(0.0%) simplify! ...rbie/faster-rr/src/mainloop.rkt:224:0 ??? [47] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [41] 1106(15.9%) 0(0.0%) finalize-iter! ...faster-rr/src/mainloop.rkt:278:0 ??? [48] 100.0% ------------------------------------------------------------------------ loop [37] 100.0% [42] 1010(14.6%) 408(5.9%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-atan [49] 29.7% ival-sub [52] 20.0% ival-add [53] 9.9% ------------------------------------------------------------------------ for-loop [38] 100.0% [43] 286(4.1%) 0(0.0%) option-on-expr ...er-rr/src/core/regimes.rkt:124:0 for-loop [50] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [44] 220(3.2%) 0(0.0%) localize! ...rbie/faster-rr/src/mainloop.rkt:127:0 localize-error [51] 100.0% ------------------------------------------------------------------------ loop [37] 100.0% [45] 200(2.9%) 0(0.0%) real->precision ...aster-rr/src/programs.rkt:94:11 ??? [64] 100.0% ------------------------------------------------------------------------ gen-series! [39] 100.0% [46] 1704(24.6%) 0(0.0%) for-loop ...erbie/faster-rr/src/mainloop.rkt:167:7 taylor-alt [54] 100.0% ------------------------------------------------------------------------ simplify! [40] 100.0% [47] 1308(18.8%) 0(0.0%) ??? ...herbie/faster-rr/src/core/simplify.rkt:42:0 egraph-run [55] 100.0% ------------------------------------------------------------------------ loop [37] 8.3% finalize-iter! [41] 91.7% [48] 1206(17.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [56] 91.7% ??? [58] 8.3% ------------------------------------------------------------------------ ??? [42] 100.0% [49] 300(4.3%) 200(2.9%) ival-atan ...e/faster-rr/src/biginterval.rkt:326:0 bfatan [59] 33.3% ------------------------------------------------------------------------ option-on-expr [43] 100.0% [50] 286(4.1%) 0(0.0%) for-loop ...e/faster-rr/src/core/regimes.rkt:135:4 errors [65] 100.0% ------------------------------------------------------------------------ localize! [44] 100.0% [51] 220(3.2%) 0(0.0%) localize-error ...er-rr/src/core/localize.rkt:58:0 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [42] 100.0% [52] 202(2.9%) 102(1.5%) ival-sub ...ie/faster-rr/src/biginterval.rkt:108:0 bfsub [57] 49.5% ------------------------------------------------------------------------ ??? [42] 100.0% [53] 100(1.4%) 0(0.0%) ival-add ...ie/faster-rr/src/biginterval.rkt:102:0 bfsub [57] 100.0% ------------------------------------------------------------------------ for-loop [46] 100.0% [54] 1704(24.6%) 0(0.0%) taylor-alt ...bie/faster-rr/src/mainloop.rkt:146:0 for-loop [60] 100.0% ------------------------------------------------------------------------ ??? [47] 100.0% [55] 1308(18.8%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [61] 100.0% ------------------------------------------------------------------------ ??? [48] 100.0% [56] 1106(15.9%) 0(0.0%) for-loop .../faster-rr/src/core/alt-table.rkt:46:2 atab-add-altn [62] 100.0% ------------------------------------------------------------------------ ival-sub [52] 50.0% ival-add [53] 50.0% [57] 200(2.9%) 0(0.0%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [77] 50.0% ??? [63] 50.0% ------------------------------------------------------------------------ ??? [48] 100.0% [58] 100(1.4%) 100(1.4%) ??? ...ects/racket/contract/private/guts.rkt:770:8 ------------------------------------------------------------------------ ival-atan [49] 100.0% [59] 100(1.4%) 0(0.0%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [77] 100.0% ------------------------------------------------------------------------ taylor-alt [54] 100.0% [60] 1704(24.6%) 0(0.0%) for-loop ...erbie/faster-rr/src/mainloop.rkt:152:6 ??? [64] 100.0% ------------------------------------------------------------------------ egraph-run [55] 100.0% [61] 1308(18.8%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [66] 100.0% ------------------------------------------------------------------------ for-loop [56] 100.0% [62] 1106(15.9%) 0(0.0%) atab-add-altn ...r-rr/src/core/alt-table.rkt:194:0 errors [65] 80.7% for-loop [67] 19.3% ------------------------------------------------------------------------ bfsub [57] 100.0% [63] 100(1.4%) 100(1.4%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ real->precision [45] 10.5% loop [9] 24.2% location-do [69] 32.7% for-loop [60] 32.7% [64] 1904(27.4%) 100(1.4%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [69] 32.7% approximate9 [2] 32.7% hash-ref! [68] 24.2% bf [74] 5.3% ------------------------------------------------------------------------ for-loop [50] 19.3% .../more-scheme.rkt:261:28 [23] 20.4% atab-add-altn [62] 60.3% [65] 1480(21.3%) 0(0.0%) errors ...es/herbie/faster-rr/src/points.rkt:190:0 for-loop [72] 86.4% temp85_0 [70] 6.9% loop [91] 6.8% ------------------------------------------------------------------------ egraph-add-exprs [61] 100.0% [66] 1308(18.8%) 0(0.0%) ??? ...erbie/faster-rr/src/core/simplify.rkt:102:6 for-loop [71] 100.0% ------------------------------------------------------------------------ atab-add-altn [62] 100.0% [67] 214(3.1%) 0(0.0%) for-loop ...faster-rr/src/core/alt-table.rkt:110:2 ??? [73] 100.0% ------------------------------------------------------------------------ localize-error [51] 1.9% for-loop [14] 4.3% for-loop [13] 6.0% taylor-sqrt [21] 6.2% loop [20] 7.9% map [80] 9.5% for-loop [11] 12.9% ??? [76] 25.6% ??? [64] 25.6% [68] 1924(27.7%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop74 [3] 29.7% ??? [76] 25.6% ??? [4] 12.9% parse-loop15 [78] 11.4% ??? [5] 10.3% f40 [7] 10.0% ------------------------------------------------------------------------ ??? [64] 36.3% location-do [69] 63.7% [69] 1704(24.6%) 0(0.0%) location-do ...bie/faster-rr/src/programs.rkt:63:0 location-do [69] 63.7% ??? [64] 36.3% ------------------------------------------------------------------------ errors [65] 6.0% eval-const-expr [18] 94.0% [70] 1704(24.6%) 0(0.0%) temp85_0 (unknown source) compile15 [75] 100.0% ------------------------------------------------------------------------ ??? [66] 100.0% [71] 1308(18.8%) 1308(18.8%) for-loop .../faster-rr/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ errors [65] 100.0% [72] 1278(18.4%) 488(7.0%) for-loop .../herbie/faster-rr/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [23] 61.8% ------------------------------------------------------------------------ for-loop [67] 100.0% [73] 214(3.1%) 214(3.1%) ??? ...7.5/collects/racket/private/for.rkt:1236:14 ------------------------------------------------------------------------ ??? [64] 100.0% [74] 100(1.4%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [77] 100.0% ------------------------------------------------------------------------ temp85_0 [70] 100.0% [75] 1704(24.6%) 0(0.0%) compile15 (unknown source) temp91_0 [79] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [76] 1382(19.9%) 0(0.0%) ??? .../herbie/faster-rr/src/core/taylor.rkt:44:15 hash-ref! [68] 100.0% ------------------------------------------------------------------------ bf [74] 33.3% bfsub [57] 33.3% bfatan [59] 33.3% [77] 300(4.3%) 300(4.3%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------ hash-ref! [68] 100.0% [78] 220(3.2%) 0(0.0%) parse-loop15 (unknown source) map [80] 100.0% ------------------------------------------------------------------------ compile15 [75] 100.0% [79] 1704(24.6%) 0(0.0%) temp91_0 (unknown source) temp118_0 [81] 78.2% compile-top9 [82] 21.8% ------------------------------------------------------------------------ for-loop [33] 17.4% parse-loop15 [78] 18.8% f61 [10] 30.9% f40 [7] 32.9% [80] 1172(16.9%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [3] 55.1% hash-ref! [68] 15.6% loop [83] 12.0% f61 [10] 8.7% ??? [95] 8.5% ------------------------------------------------------------------------ temp91_0 [79] 100.0% [81] 1332(19.2%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [84] 100.0% ------------------------------------------------------------------------ temp91_0 [79] 100.0% [82] 372(5.4%) 0(0.0%) compile-top9 (unknown source) hash->linklet-bundle [85] 54.8% compile-forms33 [86] 45.2% ------------------------------------------------------------------------ map [80] 43.4% loop [83] 56.6% [83] 324(4.7%) 220(3.2%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [83] 56.6% ??? [95] 32.1% ------------------------------------------------------------------------ loop [91] 13.2% temp118_0 [81] 86.8% [84] 1534(22.1%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [87] 86.8% expand-id-application-form17 [88] 6.6% dispatch-transformer41 [6] 6.5% ------------------------------------------------------------------------ compile-top9 [82] 100.0% [85] 204(2.9%) 204(2.9%) hash->linklet-bundle (unknown source) ------------------------------------------------------------------------ compile-top9 [82] 100.0% [86] 168(2.4%) 0(0.0%) compile-forms33 (unknown source) for-loop [90] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [84] 100.0% [87] 1332(19.2%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [89] 84.8% loop [91] 15.2% ------------------------------------------------------------------------ expand-capturing-lifts [84] 100.0% [88] 102(1.5%) 0(0.0%) expand-id-application-form17 (unknown source) binding-lookup52 [96] 100.0% ------------------------------------------------------------------------ lambda-clause-expander [87] 32.8% for-loop [90] 67.2% [89] 1130(16.3%) 0(0.0%) finish-bodys (unknown source) for-loop [90] 100.0% ------------------------------------------------------------------------ compile-forms33 [86] 12.9% for-loop [90] 23.4% finish-bodys [89] 63.6% [90] 1298(18.7%) 0(0.0%) for-loop (unknown source) finish-bodys [89] 43.9% for-loop [90] 23.4% compile-module-linklet57 [93] 12.9% dispatch-transformer41 [6] 10.5% loop [91] 5.8% expand-implicit [92] 2.9% dispatch-variable [94] 0.5% ------------------------------------------------------------------------ errors [65] 3.8% apply-transformer52 [12] 7.8% eval-const-expr [18] 7.8% syntax-e/no-taint [103] 8.4% loop [91] 11.5% for-loop [33] 11.5% syntax->list [35] 12.2% lambda-clause-expander [87] 15.4% for-loop [90] 21.7% [91] 1310(18.9%) 100(1.4%) loop (unknown source) core-form-sym [97] 21.8% dispatch-transformer41 [6] 15.4% syntax-e [99] 12.2% expand-capturing-lifts [84] 11.6% loop [91] 11.5% gf [98] 8.4% ??? [95] 7.6% ??? [101] 3.8% ------------------------------------------------------------------------ for-loop [90] 100.0% [92] 262(3.8%) 0(0.0%) expand-implicit (unknown source) binding-lookup52 [96] 100.0% ------------------------------------------------------------------------ for-loop [90] 100.0% [93] 168(2.4%) 168(2.4%) compile-module-linklet57 (unknown source) ------------------------------------------------------------------------ for-loop [90] 100.0% [94] 102(1.5%) 0(0.0%) dispatch-variable (unknown source) substitute-variable6 [100] 100.0% ------------------------------------------------------------------------ map [80] 24.8% loop [83] 25.7% loop [91] 49.5% [95] 404(5.8%) 200(2.9%) ??? ...lies/herbie/faster-rr/src/points.rkt:179:26 ??? [101] 50.5% ------------------------------------------------------------------------ expand-id-application-form17 [88] 28.0% expand-implicit [92] 72.0% [96] 364(5.2%) 364(5.2%) binding-lookup52 (unknown source) ------------------------------------------------------------------------ loop [91] 100.0% [97] 286(4.1%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [102] 100.0% ------------------------------------------------------------------------ apply-post-expansion [22] 22.7% loop [91] 77.3% [98] 220(3.2%) 100(1.4%) gf (unknown source) propagation-apply [104] 54.5% syntax-e/no-taint [103] 22.7% ------------------------------------------------------------------------ loop [91] 100.0% [99] 220(3.2%) 100(1.4%) syntax-e (unknown source) syntax-e/no-taint [103] 54.5% ------------------------------------------------------------------------ dispatch-variable [94] 100.0% [100] 102(1.5%) 102(1.5%) substitute-variable6 (unknown source) ------------------------------------------------------------------------ loop [91] 12.6% ??? [95] 25.7% .../more-scheme.rkt:261:28 [23] 61.7% [101] 794(11.4%) 690(9.9%) ??? ...rbie/faster-rr/src/syntax/syntax.rkt:214:17 ??? [105] 13.1% ------------------------------------------------------------------------ core-form-sym [97] 100.0% [102] 286(4.1%) 286(4.1%) resolve+shift28 (unknown source) ------------------------------------------------------------------------ gf [98] 45.5% syntax-e [99] 54.5% [103] 220(3.2%) 0(0.0%) syntax-e/no-taint (unknown source) loop [91] 100.0% ------------------------------------------------------------------------ gf [98] 100.0% [104] 120(1.7%) 120(1.7%) propagation-apply (unknown source) ------------------------------------------------------------------------ ??? [101] 100.0% [105] 104(1.5%) 104(1.5%) ??? ...ects/racket/contract/private/prop.rkt:301:4 ------------------------------------------------------------------------