Profiling results ----------------- Total cpu time observed: 7280ms (out of 8112ms) Number of samples taken: 33 (once every 221ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== [1] 7280(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [6] 100.0% ---------------------------------------------------------------------- ??? [64] 100.0% [2] 718(9.9%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [7] 65.7% for-loop [11] 34.3% ---------------------------------------------------------------------- parse-loop74 [75] 42.8% loop [82] 57.2% [3] 472(6.5%) 0(0.0%) f61 (unknown source) eval-const-expr [8] 57.2% map [12] 42.8% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [4] 270(3.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [9] 100.0% ---------------------------------------------------------------------- for-loop [85] 100.0% [5] 270(3.7%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [10] 100.0% ---------------------------------------------------------------------- ??? [1] 100.0% [6] 7280(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [7] 472(6.5%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [64] 100.0% ---------------------------------------------------------------------- parse-loop74 [75] 42.8% f61 [3] 57.2% [8] 472(6.5%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [14] 57.2% eval [16] 42.8% ---------------------------------------------------------------------- ??? [4] 100.0% [9] 270(3.7%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [71] 100.0% ---------------------------------------------------------------------- syntax-e [5] 100.0% [10] 270(3.7%) 0(0.0%) syntax-e/no-taint (unknown source) loop [82] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [11] 246(3.4%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor-sqrt [15] 100.0% ---------------------------------------------------------------------- f61 [3] 100.0% [12] 202(2.8%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [75] 100.0% ---------------------------------------------------------------------- profile-thunk16 [6] 100.0% [13] 7280(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% ---------------------------------------------------------------------- eval-const-expr [8] 100.0% [14] 270(3.7%) 0(0.0%) temp85_0 (unknown source) compile15 [18] 100.0% ---------------------------------------------------------------------- for-loop [11] 100.0% [15] 246(3.4%) 0(0.0%) taylor-sqrt .../findroot/src/core/taylor.rkt:351:0 first-nonzero-exp [19] 100.0% ---------------------------------------------------------------------- eval-const-expr [8] 100.0% [16] 202(2.8%) 0(0.0%) eval (unknown source) namespace-syntax-introduce3 [20]100.0% ---------------------------------------------------------------------- for-loop [79] 2.7% run [13] 97.3% [17] 7280(100.0%) 396(5.4%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [27] 56.1% run-improve47 [21] 31.3% get-final-combination [23] 3.0% oracle-error [25] 2.7% baseline-error [26] 2.7% errors [73] 1.3% ---------------------------------------------------------------------- temp85_0 [14] 100.0% [18] 270(3.7%) 0(0.0%) compile15 (unknown source) temp91_0 [22] 100.0% ---------------------------------------------------------------------- taylor-sqrt [15] 100.0% [19] 246(3.4%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [71] 100.0% ---------------------------------------------------------------------- eval [16] 100.0% [20] 202(2.8%) 0(0.0%) namespace-syntax-introduce3 (unknown source) free-identifier=? [24] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17] 100.0% [21] 2380(32.7%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [28] 80.8% prepare-points-intervals [27] 9.9% simplify! [39] 9.3% ---------------------------------------------------------------------- compile15 [18] 100.0% [22] 270(3.7%) 0(0.0%) temp91_0 (unknown source) temp118_0 [29] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17] 100.0% [23] 218(3.0%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 ??? [30] 100.0% ---------------------------------------------------------------------- namespace-syntax-introduce3 [20]100.0% [24] 202(2.8%) 0(0.0%) free-identifier=? (unknown source) resolve+shift28 [31] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17] 100.0% [25] 200(2.7%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [32] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17] 100.0% [26] 200(2.7%) 0(0.0%) baseline-error ...ie/findroot/src/points.rkt:181:0 argmin [33] 100.0% ---------------------------------------------------------------------- run-improve47 [21] 5.5% .../more-scheme.rkt:261:28 [17] 94.5% [27] 4322(59.4%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [34] 94.5% loop [82] 5.5% ---------------------------------------------------------------------- run-improve47 [21] 100.0% [28] 1922(26.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [35] 100.0% ---------------------------------------------------------------------- temp91_0 [22] 100.0% [29] 270(3.7%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [36] 100.0% ---------------------------------------------------------------------- get-final-combination [23] 100.0% [30] 218(3.0%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:38:0 ??? [45] 100.0% ---------------------------------------------------------------------- free-identifier=? [24] 100.0% [31] 202(2.8%) 202(2.8%) resolve+shift28 (unknown source) ---------------------------------------------------------------------- oracle-error [25] 100.0% [32] 200(2.7%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [82] 100.0% ---------------------------------------------------------------------- baseline-error [26] 100.0% [33] 200(2.7%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [37] 100.0% ---------------------------------------------------------------------- prepare-points-intervals [27] 100.0% [34] 4086(56.1%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [38] 74.9% ??? [40] 25.1% ---------------------------------------------------------------------- for-loop [28] 100.0% [35] 1922(26.4%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 simplify! [39] 52.2% gen-series! [41] 37.4% finalize-iter! [44] 10.4% ---------------------------------------------------------------------- loop [82] 46.6% temp118_0 [29] 53.4% [36] 506(7.0%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [42] 53.4% loop [82] 46.6% ---------------------------------------------------------------------- argmin [33] 100.0% [37] 200(2.7%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:182:27 eval-errors [43] 100.0% ---------------------------------------------------------------------- loop [34] 100.0% [38] 3062(42.1%) 404(5.5%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [64] 66.4% ??? [48] 13.1% real->precision [50] 7.3% ---------------------------------------------------------------------- run-improve47 [21] 18.1% run-iter! [35] 81.9% [39] 1226(16.8%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [45] 100.0% ---------------------------------------------------------------------- loop [34] 100.0% [40] 1024(14.1%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [46] 100.0% ---------------------------------------------------------------------- run-iter! [35] 100.0% [41] 718(9.9%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [47] 100.0% ---------------------------------------------------------------------- expand-capturing-lifts [36] 100.0% [42] 270(3.7%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [49] 100.0% ---------------------------------------------------------------------- ??? [37] 100.0% [43] 200(2.7%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [51] 100.0% ---------------------------------------------------------------------- run-iter! [35] 100.0% [44] 200(2.7%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [60] 100.0% ---------------------------------------------------------------------- ??? [30] 15.1% simplify! [39] 84.9% [45] 1444(19.8%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [52] 84.9% debug5 [56] 15.1% ---------------------------------------------------------------------- ??? [40] 100.0% [46] 1024(14.1%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [53] 80.5% for-loop [57] 19.5% ---------------------------------------------------------------------- gen-series! [41] 100.0% [47] 718(9.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [54] 100.0% ---------------------------------------------------------------------- loop [38] 100.0% [48] 402(5.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sqrt [55] 100.0% ---------------------------------------------------------------------- lambda-clause-expander [42] 16.7% for-loop [85] 83.3% [49] 270(3.7%) 0(0.0%) finish-bodys (unknown source) for-loop [85] 100.0% ---------------------------------------------------------------------- loop [38] 100.0% [50] 222(3.0%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [64] 100.0% ---------------------------------------------------------------------- eval-errors [43] 100.0% [51] 200(2.7%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ??? [64] 100.0% ---------------------------------------------------------------------- ??? [45] 100.0% [52] 1226(16.8%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [58] 100.0% ---------------------------------------------------------------------- sample-multi-bounded [46] 100.0% [53] 824(11.3%) 206(2.8%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [61] 50.5% cons/c [63] 24.5% ---------------------------------------------------------------------- for-loop [47] 100.0% [54] 718(9.9%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [59] 100.0% ---------------------------------------------------------------------- ??? [48] 100.0% [55] 402(5.5%) 0(0.0%) ival-sqrt ...ie/findroot/src/biginterval.rkt:212:0 bfsqrt [62] 100.0% ---------------------------------------------------------------------- ??? [45] 100.0% [56] 218(3.0%) 0(0.0%) debug5 ...lies/herbie/findroot/src/debug.rkt:102:0 ??? [60] 100.0% ---------------------------------------------------------------------- sample-multi-bounded [46] 100.0% [57] 200(2.7%) 200(2.7%) for-loop ...es/herbie/findroot/src/points.rkt:20:4 ---------------------------------------------------------------------- egraph-run [52] 100.0% [58] 1226(16.8%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [65] 100.0% ---------------------------------------------------------------------- taylor-alt [54] 100.0% [59] 718(9.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [64] 100.0% ---------------------------------------------------------------------- finalize-iter! [44] 47.8% debug5 [56] 52.2% [60] 418(5.7%) 218(3.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [67] 47.8% ---------------------------------------------------------------------- random-ranges [53] 100.0% [61] 416(5.7%) 218(3.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [66] 47.6% ---------------------------------------------------------------------- ival-sqrt [55] 100.0% [62] 402(5.5%) 0(0.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [83] 100.0% ---------------------------------------------------------------------- random-ranges [53] 100.0% [63] 202(2.8%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [66] 100.0% ---------------------------------------------------------------------- loop [7] 5.0% for-loop [51] 6.3% real->precision [50] 7.0% location-do [70] 8.8% for-loop [59] 8.8% loop [38] 64.1% [64] 3174(43.6%) 200(2.7%) ??? ...tract/private/arrow-higher-order.rkt:375:33 ival-mult [68] 64.1% location-do [70] 8.8% approximate9 [2] 8.8% bf [74] 7.0% hash-ref! [71] 5.0% ---------------------------------------------------------------------- egraph-add-exprs [58] 100.0% [65] 1226(16.8%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [69] 100.0% ---------------------------------------------------------------------- build--> [61] 49.5% cons/c [63] 50.5% [66] 400(5.5%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [72] 100.0% ---------------------------------------------------------------------- ??? [60] 100.0% [67] 200(2.7%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 errors [73] 100.0% ---------------------------------------------------------------------- ??? [64] 100.0% [68] 2034(27.9%) 202(2.8%) ival-mult ...ie/findroot/src/biginterval.rkt:120:0 bfmax2 [81] 49.5% bfmax* [76] 30.7% bfmin* [80] 9.9% ---------------------------------------------------------------------- ??? [65] 100.0% [69] 1226(16.8%) 1226(16.8%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ---------------------------------------------------------------------- ??? [64] 100.0% [70] 718(9.9%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [64] 100.0% ---------------------------------------------------------------------- for-loop [9] 12.5% ??? [77] 26.6% ??? [64] 26.6% first-nonzero-exp [19] 34.3% [71] 718(9.9%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop74 [75] 60.9% ??? [77] 26.6% ??? [4] 12.5% ---------------------------------------------------------------------- coerce-contract [66] 100.0% [72] 400(5.5%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [78] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17] 49.5% for-loop [67] 50.5% [73] 396(5.4%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [79] 100.0% ---------------------------------------------------------------------- ??? [64] 100.0% [74] 222(3.0%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [83] 100.0% ---------------------------------------------------------------------- map [12] 7.0% hash-ref! [71] 43.0% parse-loop74 [75] 50.0% [75] 718(9.9%) 246(3.4%) parse-loop74 (unknown source) parse-loop74 [75] 50.0% loop [82] 18.8% f61 [3] 7.0% eval-const-expr [8] 7.0% ---------------------------------------------------------------------- ival-mult [68] 100.0% [76] 624(8.6%) 0(0.0%) bfmax* ...erbie/findroot/src/biginterval.rkt:117:0 bfmax2 [81] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 472(6.5%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [71] 100.0% ---------------------------------------------------------------------- coerce-contract/f [72] 100.0% [78] 400(5.5%) 400(5.5%) coerce-simple-value ...ract/private/guts.rkt:385:0 ---------------------------------------------------------------------- errors [73] 100.0% [79] 396(5.4%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [17] 100.0% ---------------------------------------------------------------------- ival-mult [68] 100.0% [80] 202(2.8%) 0(0.0%) bfmin* ...erbie/findroot/src/biginterval.rkt:114:0 bfmax2 [81] 100.0% ---------------------------------------------------------------------- bfmin* [80] 11.0% bfmax* [76] 34.1% ival-mult [68] 54.9% [81] 1832(25.2%) 0(0.0%) bfmax2 ...lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [84] 55.9% new-mpfr [83] 44.1% ---------------------------------------------------------------------- expand-capturing-lifts [36] 11.1% prepare-points-intervals [27] 11.1% syntax-e/no-taint [10] 12.7% parse-loop74 [75] 12.7% loop [82] 23.9% for-loop [32] 28.3% [82] 706(9.7%) 0(0.0%) loop (unknown source) ??? [87] 28.3% loop [82] 23.9% f61 [3] 12.7% gf [86] 12.7% expand-capturing-lifts [36] 11.1% for-loop [85] 11.1% ---------------------------------------------------------------------- bf [74] 15.5% bfsqrt [62] 28.1% bfmax2 [81] 56.4% [83] 1432(19.7%) 1432(19.7%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ---------------------------------------------------------------------- bfmax2 [81] 100.0% [84] 1024(14.1%) 1024(14.1%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ---------------------------------------------------------------------- for-loop [85] 13.3% run-module-instance!125 [90] 23.3% loop [82] 23.3% finish-bodys [49] 40.0% [85] 506(7.0%) 0(0.0%) for-loop (unknown source) finish-bodys [49] 33.3% run-module-instance!125 [90] 23.3% temp37_0 [89] 23.3% for-loop [85] 13.3% syntax-e [5] 6.7% ---------------------------------------------------------------------- loop [82] 100.0% [86] 270(3.7%) 0(0.0%) gf (unknown source) propagation-merge [88] 100.0% ---------------------------------------------------------------------- loop [82] 100.0% [87] 200(2.7%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [91] 100.0% ---------------------------------------------------------------------- gf [86] 100.0% [88] 270(3.7%) 270(3.7%) propagation-merge (unknown source) ---------------------------------------------------------------------- for-loop [85] 100.0% [89] 236(3.2%) 0(0.0%) temp37_0 (unknown source) [running body] [92] 100.0% ---------------------------------------------------------------------- for-loop [85] 100.0% [90] 236(3.2%) 0(0.0%) run-module-instance!125 (unknown source) for-loop [85] 100.0% ---------------------------------------------------------------------- ??? [87] 100.0% [91] 200(2.7%) 200(2.7%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ---------------------------------------------------------------------- temp37_0 [89] 100.0% [92] 236(3.2%) 0(0.0%) [running body] .../collects/racket/format.rkt":##f .get-syntax-literal! [93] 100.0% ---------------------------------------------------------------------- [running body] [92] 100.0% [93] 236(3.2%) 0(0.0%) .get-syntax-literal! (unknown source) .deserialize-syntax [94] 100.0% ---------------------------------------------------------------------- .get-syntax-literal! [93] 100.0% [94] 236(3.2%) 236(3.2%) .deserialize-syntax (unknown source) ----------------------------------------------------------------------