Profiling results ----------------- Total cpu time observed: 12914ms (out of 13136ms) Number of samples taken: 63 (once every 205ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= [1] 12914(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [9] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [2] 428(3.3%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [10] 100.0% ----------------------------------------------------------------------- hash-ref! [90] 100.0% [3] 428(3.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [11] 100.0% ----------------------------------------------------------------------- hash-ref! [90] 100.0% [4] 240(1.9%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [12] 50.0% rewriter [72] 50.0% ----------------------------------------------------------------------- hash-ref! [90] 100.0% [5] 228(1.8%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [80] 100.0% ----------------------------------------------------------------------- map [30] 50.0% hash-ref! [90] 50.0% [6] 228(1.8%) 0(0.0%) f40 (unknown source) map [30] 100.0% ----------------------------------------------------------------------- hash-ref! [90] 100.0% [7] 200(1.5%) 0(0.0%) f61 (unknown source) eval-const-expr [14] 100.0% ----------------------------------------------------------------------- hash-ref! [90] 100.0% [8] 200(1.5%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [13] 100.0% ----------------------------------------------------------------------- ??? [1] 100.0% [9] 12914(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ----------------------------------------------------------------------- approximate9 [2] 100.0% [10] 428(3.3%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [90] 53.3% ??? [80] 46.7% ----------------------------------------------------------------------- ??? [3] 100.0% [11] 428(3.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [90] 100.0% ----------------------------------------------------------------------- matcher [4] 100.0% [12] 240(1.9%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [16] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [13] 200(1.5%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 ??? [17] 100.0% ----------------------------------------------------------------------- f61 [7] 100.0% [14] 200(1.5%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [18] 100.0% ----------------------------------------------------------------------- profile-thunk16 [9] 100.0% [15] 12914(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% ----------------------------------------------------------------------- ??? [12] 100.0% [16] 240(1.9%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [90] 100.0% ----------------------------------------------------------------------- for-loop [13] 100.0% [17] 200(1.5%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [90] 100.0% ----------------------------------------------------------------------- eval-const-expr [14] 100.0% [18] 200(1.5%) 0(0.0%) temp85_0 (unknown source) compile15 [20] 100.0% ----------------------------------------------------------------------- for-loop [97] 3.0% run [15] 97.0% [19] 12914(100.0%) 364(2.8%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [24] 79.0% run-improve47 [21] 15.2% ??? [46] 1.6% oracle-error [23] 1.4% errors [89] 1.4% ----------------------------------------------------------------------- temp85_0 [18] 100.0% [20] 200(1.5%) 0(0.0%) compile15 (unknown source) temp91_0 [22] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 100.0% [21] 2168(16.8%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [25] 77.8% simplify! [35] 11.2% prepare-points-intervals [24] 11.1% ----------------------------------------------------------------------- compile15 [20] 100.0% [22] 200(1.5%) 0(0.0%) temp91_0 (unknown source) temp118_0 [26] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 100.0% [23] 184(1.4%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [27] 100.0% ----------------------------------------------------------------------- run-improve47 [21] 2.3% .../more-scheme.rkt:261:28 [19] 97.7% [24] 10438(80.8%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [28] 100.0% ----------------------------------------------------------------------- run-improve47 [21] 100.0% [25] 1686(13.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [29] 100.0% ----------------------------------------------------------------------- temp91_0 [22] 100.0% [26] 200(1.5%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [31] 100.0% ----------------------------------------------------------------------- oracle-error [23] 100.0% [27] 184(1.4%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 map [30] 100.0% ----------------------------------------------------------------------- prepare-points-intervals [24] 100.0% [28] 10438(80.8%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [32] 90.3% ??? [33] 9.7% ----------------------------------------------------------------------- for-loop [25] 100.0% [29] 1686(13.1%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [34] 36.5% gen-series! [36] 25.4% gen-rewrites! [37] 14.2% choose-best-alt! [39] 12.0% simplify! [35] 11.9% ----------------------------------------------------------------------- for-loop [27] 44.7% f40 [6] 55.3% [30] 412(3.2%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 ??? [41] 44.7% f40 [6] 27.7% make-multiplication-node [38] 27.7% ----------------------------------------------------------------------- temp118_0 [26] 100.0% [31] 200(1.5%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [40] 100.0% ----------------------------------------------------------------------- loop [28] 100.0% [32] 9422(73.0%) 800(6.2%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [42] 63.3% real->precision [43] 13.1% ??? [80] 12.8% ??? [81] 2.3% ----------------------------------------------------------------------- loop [28] 100.0% [33] 1016(7.9%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [44] 100.0% ----------------------------------------------------------------------- run-iter! [29] 100.0% [34] 616(4.8%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [45] 100.0% ----------------------------------------------------------------------- run-iter! [29] 45.2% run-improve47 [21] 54.8% [35] 442(3.4%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [47] 100.0% ----------------------------------------------------------------------- run-iter! [29] 100.0% [36] 428(3.3%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [48] 100.0% ----------------------------------------------------------------------- run-iter! [29] 100.0% [37] 240(1.9%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [49] 100.0% ----------------------------------------------------------------------- map [30] 100.0% [38] 228(1.8%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:232:0 make-multiplication-subnode [50]100.0% ----------------------------------------------------------------------- run-iter! [29] 100.0% [39] 202(1.6%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [51] 100.0% ----------------------------------------------------------------------- expand-capturing-lifts [31] 100.0% [40] 200(1.5%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [52] 100.0% ----------------------------------------------------------------------- map [30] 100.0% [41] 184(1.4%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [46] 100.0% ----------------------------------------------------------------------- loop [32] 100.0% [42] 5962(46.2%) 1694(13.1%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-cos [53] 43.6% ival-exp [54] 17.6% ival-add [59] 7.1% ival-neg [64] 3.4% ----------------------------------------------------------------------- loop [32] 100.0% [43] 1234(9.6%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [80] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [44] 1016(7.9%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [55] 80.3% for-loop [66] 19.7% ----------------------------------------------------------------------- finalize-iter! [34] 100.0% [45] 616(4.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [56] 100.0% ----------------------------------------------------------------------- ??? [41] 31.0% .../more-scheme.rkt:261:28 [19] 69.0% [46] 594(4.6%) 184(1.4%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [60] 69.0% ----------------------------------------------------------------------- simplify! [35] 100.0% [47] 442(3.4%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [57] 100.0% ----------------------------------------------------------------------- gen-series! [36] 100.0% [48] 428(3.3%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [58] 100.0% ----------------------------------------------------------------------- gen-rewrites! [37] 100.0% [49] 240(1.9%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [61] 100.0% ----------------------------------------------------------------------- make-multiplication-node [38] 100.0% [50] 228(1.8%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:242:0 group-by61 [62] 100.0% ----------------------------------------------------------------------- choose-best-alt! [39] 100.0% [51] 202(1.6%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [63] 100.0% ----------------------------------------------------------------------- lambda-clause-expander [40] 20.0% for-loop [65] 80.0% [52] 200(1.5%) 0(0.0%) finish-bodys (unknown source) for-loop [65] 100.0% ----------------------------------------------------------------------- ??? [42] 100.0% [53] 2598(20.1%) 1342(10.4%) ival-cos ...bie/findroot/src/biginterval.rkt:287:0 bfsub [67] 16.9% bffloor [70] 16.3% pi.bf [75] 7.9% bfeven? [78] 7.3% ----------------------------------------------------------------------- ??? [42] 100.0% [54] 1048(8.1%) 830(6.4%) ival-exp ...bie/findroot/src/biginterval.rkt:179:0 bfneg [71] 20.8% ----------------------------------------------------------------------- sample-multi-bounded [44] 100.0% [55] 816(6.3%) 632(4.9%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [79] 22.5% ----------------------------------------------------------------------- ??? [45] 100.0% [56] 616(4.8%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 loop [74] 33.8% errors [89] 33.8% atab-add-altn [77] 32.5% ----------------------------------------------------------------------- ??? [47] 100.0% [57] 442(3.4%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [68] 100.0% ----------------------------------------------------------------------- for-loop [48] 100.0% [58] 428(3.3%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [69] 100.0% ----------------------------------------------------------------------- ??? [42] 100.0% [59] 422(3.3%) 0(0.0%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfsub [67] 100.0% ----------------------------------------------------------------------- ??? [46] 100.0% [60] 410(3.2%) 410(3.2%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 ----------------------------------------------------------------------- for-loop [49] 100.0% [61] 240(1.9%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [72] 100.0% ----------------------------------------------------------------------- make-multiplication-subnode [50]100.0% [62] 228(1.8%) 0(0.0%) group-by61 ...t-7.5/collects/racket/list.rkt:771:0 hash-update [73] 100.0% ----------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [51] 100.0% [63] 202(1.6%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 argmin [76] 100.0% ----------------------------------------------------------------------- ??? [42] 100.0% [64] 200(1.5%) 0(0.0%) ival-neg ...bie/findroot/src/biginterval.rkt:107:0 bfneg [71] 100.0% ----------------------------------------------------------------------- for-loop [65] 28.6% finish-bodys [52] 71.4% [65] 200(1.5%) 200(1.5%) for-loop (unknown source) finish-bodys [52] 57.1% for-loop [65] 28.6% ----------------------------------------------------------------------- sample-multi-bounded [44] 100.0% [66] 200(1.5%) 0(0.0%) for-loop ...es/herbie/findroot/src/points.rkt:20:4 ??? [80] 100.0% ----------------------------------------------------------------------- ival-add [59] 49.1% ival-cos [53] 50.9% [67] 860(6.7%) 0(0.0%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [81] 76.7% new-mpfr [96] 23.3% ----------------------------------------------------------------------- egraph-run [57] 100.0% [68] 442(3.4%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [82] 100.0% ----------------------------------------------------------------------- taylor-alt [58] 100.0% [69] 428(3.3%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [80] 100.0% ----------------------------------------------------------------------- ival-cos [53] 100.0% [70] 424(3.3%) 0(0.0%) bffloor ...ib/math/private/bigfloat/mpfr.rkt:730:4 new-mpfr [96] 100.0% ----------------------------------------------------------------------- ival-neg [64] 47.8% ival-exp [54] 52.2% [71] 418(3.2%) 218(1.7%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:632:4 ??? [81] 47.8% ----------------------------------------------------------------------- rewrite-expression-head24 [61] 33.3% matcher [4] 66.7% [72] 240(1.9%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [83] 100.0% ----------------------------------------------------------------------- group-by61 [62] 100.0% [73] 228(1.8%) 228(1.8%) hash-update ...acket/private/more-scheme.rkt:358:4 ----------------------------------------------------------------------- for-loop [56] 100.0% [74] 208(1.6%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [84] 100.0% ----------------------------------------------------------------------- ival-cos [53] 100.0% [75] 204(1.6%) 0(0.0%) pi.bf ...lib/math/private/bigfloat/mpfr.rkt:1012:4 ??? [81] 100.0% ----------------------------------------------------------------------- ??? [63] 100.0% [76] 202(1.6%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [85] 100.0% ----------------------------------------------------------------------- for-loop [56] 100.0% [77] 200(1.5%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 for-loop [86] 100.0% ----------------------------------------------------------------------- ival-cos [53] 100.0% [78] 190(1.5%) 0(0.0%) bfeven? ...ib/math/private/bigfloat/mpfr.rkt:814:0 new-mpz [87] 100.0% ----------------------------------------------------------------------- random-ranges [55] 100.0% [79] 184(1.4%) 184(1.4%) build--> ...act/private/arrow-val-first.rkt:1214:0 ----------------------------------------------------------------------- loop [10] 2.2% ??? [5] 2.5% location-do [92] 4.6% for-loop [69] 4.6% for-loop [66] 6.5% loop [32] 39.3% real->precision [43] 40.2% [80] 3070(23.8%) 1034(8.0%) ??? ...tract/private/arrow-higher-order.rkt:375:33 bf [88] 26.4% ival-mult [91] 19.5% ??? [94] 6.5% location-do [92] 4.6% approximate9 [2] 4.6% hash-ref! [90] 4.6% ----------------------------------------------------------------------- bfneg [71] 15.6% pi.bf [75] 15.9% loop [32] 17.0% bfsub [67] 51.5% [81] 1282(9.9%) 1282(9.9%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ----------------------------------------------------------------------- egraph-add-exprs [68] 100.0% [82] 442(3.4%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [93] 54.8% egg-run-rules [95] 45.2% ----------------------------------------------------------------------- rewriter [72] 100.0% [83] 240(1.9%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [90] 100.0% ----------------------------------------------------------------------- loop [74] 100.0% [84] 208(1.6%) 208(1.6%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ----------------------------------------------------------------------- argmin [76] 100.0% [85] 202(1.6%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [89] 100.0% ----------------------------------------------------------------------- atab-add-altn [77] 100.0% [86] 200(1.5%) 200(1.5%) for-loop .../findroot/src/core/alt-table.rkt:110:2 ----------------------------------------------------------------------- bfeven? [78] 100.0% [87] 190(1.5%) 190(1.5%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ----------------------------------------------------------------------- ??? [80] 100.0% [88] 810(6.3%) 200(1.5%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [96] 75.3% ----------------------------------------------------------------------- ??? [85] 26.1% for-loop [56] 26.9% .../more-scheme.rkt:261:28 [19] 47.0% [89] 774(6.0%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [97] 100.0% ----------------------------------------------------------------------- ??? [17] 5.0% ??? [99] 5.0% loop [10] 8.5% ??? [98] 13.5% ??? [80] 13.5% for-loop [16] 14.4% for-loop [11] 18.5% for-loop [83] 21.6% [90] 668(5.2%) 240(1.9%) hash-ref! .../racket/private/more-scheme.rkt:376:2 matcher [4] 28.7% ??? [3] 18.5% ??? [98] 13.5% ??? [5] 8.5% f40 [6] 8.5% ??? [99] 5.0% ??? [8] 5.0% f61 [7] 5.0% ----------------------------------------------------------------------- ??? [80] 100.0% [91] 598(4.6%) 598(4.6%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 ----------------------------------------------------------------------- location-do [92] 23.4% ??? [80] 76.6% [92] 428(3.3%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [80] 76.6% location-do [92] 23.4% ----------------------------------------------------------------------- ??? [82] 100.0% [93] 242(1.9%) 242(1.9%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ----------------------------------------------------------------------- ??? [80] 100.0% [94] 200(1.5%) 200(1.5%) ??? ...ects/racket/contract/private/guts.rkt:770:8 ----------------------------------------------------------------------- ??? [82] 100.0% [95] 200(1.5%) 200(1.5%) egg-run-rules ...droot/src/core/simplify.rkt:108:0 ----------------------------------------------------------------------- bfsub [67] 16.2% bffloor [70] 34.4% bf [88] 49.4% [96] 1234(9.6%) 1234(9.6%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ----------------------------------------------------------------------- errors [89] 100.0% [97] 774(6.0%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [19] 100.0% ----------------------------------------------------------------------- hash-ref! [90] 100.0% [98] 428(3.3%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [90] 100.0% ----------------------------------------------------------------------- hash-ref! [90] 100.0% [99] 200(1.5%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [90] 100.0% -----------------------------------------------------------------------