Profiling results ----------------- Total cpu time observed: 6188ms (out of 6340ms) Number of samples taken: 29 (once every 213ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= [1] 6188(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [8] 100.0% ----------------------------------------------------------------------- ??? [56] 100.0% [2] 1164(18.8%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [9] 58.9% for-loop [10] 24.6% taylor-quotient [13] 16.5% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [3] 486(7.9%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [56] 100.0% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [4] 482(7.8%) 0(0.0%) f61 (unknown source) eval-const-expr [77] 100.0% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [5] 282(4.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [11] 100.0% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [6] 206(3.3%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [12] 50.0% rewriter [53] 50.0% ----------------------------------------------------------------------- location-do [63] 100.0% [7] 192(3.1%) 0(0.0%) loop ...lies/herbie/findroot/src/programs.rkt:72:4 ??? [56] 100.0% ----------------------------------------------------------------------- ??? [1] 100.0% [8] 6188(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% ----------------------------------------------------------------------- approximate9 [2] 100.0% [9] 686(11.1%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [64] 70.8% ??? [56] 29.2% ----------------------------------------------------------------------- approximate9 [2] 100.0% [10] 286(4.6%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [15] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [11] 282(4.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [64] 100.0% ----------------------------------------------------------------------- matcher [6] 100.0% [12] 206(3.3%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [16] 100.0% ----------------------------------------------------------------------- approximate9 [2] 100.0% [13] 192(3.1%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [17] 100.0% ----------------------------------------------------------------------- profile-thunk16 [8] 100.0% [14] 6188(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% ----------------------------------------------------------------------- taylor [15] 50.0% for-loop [10] 50.0% [15] 286(4.6%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [15] 50.0% map [19] 50.0% ----------------------------------------------------------------------- ??? [12] 100.0% [16] 206(3.3%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [64] 100.0% ----------------------------------------------------------------------- taylor-quotient [13] 100.0% [17] 192(3.1%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [64] 100.0% ----------------------------------------------------------------------- for-loop [65] 6.6% run [14] 93.4% [18] 6188(100.0%) 406(6.6%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [20] 56.0% prepare-points-intervals [21] 29.3% errors [57] 4.9% oracle-error [25] 3.2% ulp-difference [23] 1.6% ??? [24] 1.6% ----------------------------------------------------------------------- taylor [15] 100.0% [19] 286(4.6%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 taylor-invert [22] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [20] 3564(57.6%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [26] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [21] 1814(29.3%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [27] 88.2% temp85_0 [62] 11.8% ----------------------------------------------------------------------- map [19] 100.0% [22] 286(4.6%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [72] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [23] 204(3.3%) 0(0.0%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 ??? [56] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [24] 202(3.3%) 202(3.3%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [25] 200(3.2%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [28] 100.0% ----------------------------------------------------------------------- run-improve47 [20] 100.0% [26] 3564(57.6%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [29] 100.0% ----------------------------------------------------------------------- prepare-points-intervals [21] 100.0% [27] 1600(25.9%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [30] 75.0% ??? [31] 25.0% ----------------------------------------------------------------------- oracle-error [25] 100.0% [28] 200(3.2%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [101] 100.0% ----------------------------------------------------------------------- for-loop [26] 100.0% [29] 3564(57.6%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [32] 34.0% gen-series! [33] 32.7% simplify! [34] 27.6% gen-rewrites! [36] 5.8% ----------------------------------------------------------------------- loop [27] 100.0% [30] 1200(19.4%) 0(0.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [56] 50.7% ??? [35] 33.3% real->precision [38] 16.0% ----------------------------------------------------------------------- loop [27] 100.0% [31] 400(6.5%) 202(3.3%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [37] 49.5% ----------------------------------------------------------------------- run-iter! [29] 100.0% [32] 1212(19.6%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [39] 100.0% ----------------------------------------------------------------------- run-iter! [29] 100.0% [33] 1164(18.8%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [40] 100.0% ----------------------------------------------------------------------- run-iter! [29] 100.0% [34] 982(15.9%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [41] 100.0% ----------------------------------------------------------------------- loop [30] 100.0% [35] 400(6.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [42] 100.0% ----------------------------------------------------------------------- run-iter! [29] 100.0% [36] 206(3.3%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [43] 100.0% ----------------------------------------------------------------------- ??? [31] 100.0% [37] 198(3.2%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [44] 100.0% ----------------------------------------------------------------------- loop [30] 100.0% [38] 192(3.1%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [56] 100.0% ----------------------------------------------------------------------- finalize-iter! [32] 100.0% [39] 1212(19.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [45] 100.0% ----------------------------------------------------------------------- gen-series! [33] 100.0% [40] 1164(18.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [46] 100.0% ----------------------------------------------------------------------- simplify! [34] 100.0% [41] 982(15.9%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [47] 100.0% ----------------------------------------------------------------------- ??? [35] 100.0% [42] 400(6.5%) 198(3.2%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfmul [73] 50.5% ----------------------------------------------------------------------- gen-rewrites! [36] 100.0% [43] 206(3.3%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [48] 100.0% ----------------------------------------------------------------------- sample-multi-bounded [37] 100.0% [44] 198(3.2%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [49] 100.0% ----------------------------------------------------------------------- ??? [39] 100.0% [45] 1212(19.6%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [52] 52.5% errors [57] 31.7% loop [55] 15.8% ----------------------------------------------------------------------- for-loop [40] 100.0% [46] 1164(18.8%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [50] 100.0% ----------------------------------------------------------------------- ??? [41] 100.0% [47] 982(15.9%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [51] 100.0% ----------------------------------------------------------------------- for-loop [43] 100.0% [48] 206(3.3%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [53] 100.0% ----------------------------------------------------------------------- random-ranges [44] 100.0% [49] 198(3.2%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [54] 100.0% ----------------------------------------------------------------------- taylor-alt [46] 100.0% [50] 1164(18.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [56] 100.0% ----------------------------------------------------------------------- egraph-run [47] 100.0% [51] 982(15.9%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [58] 100.0% ----------------------------------------------------------------------- for-loop [45] 100.0% [52] 636(10.3%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [57] 100.0% ----------------------------------------------------------------------- matcher [6] 50.0% rewrite-expression-head24 [48] 50.0% [53] 206(3.3%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [59] 100.0% ----------------------------------------------------------------------- cons/c [49] 100.0% [54] 198(3.2%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [60] 100.0% ----------------------------------------------------------------------- for-loop [45] 100.0% [55] 192(3.1%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [61] 100.0% ----------------------------------------------------------------------- loop [9] 3.1% loop [7] 4.4% ??? [3] 7.5% real->precision [38] 8.9% ulp-difference [23] 9.4% location-do [63] 17.1% for-loop [50] 21.6% loop [30] 28.0% [56] 2168(35.0%) 396(6.4%) ??? ...tract/private/arrow-higher-order.rkt:375:33 ival-mult [67] 28.0% location-do [63] 21.6% approximate9 [2] 21.6% hash-ref! [64] 10.5% ----------------------------------------------------------------------- for-loop [45] 23.6% .../more-scheme.rkt:261:28 [18] 37.4% atab-add-altn [52] 39.0% [57] 1630(26.3%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [65] 49.8% temp85_0 [62] 26.4% loop [101] 23.8% ----------------------------------------------------------------------- egraph-add-exprs [51] 100.0% [58] 982(15.9%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [66] 77.4% egg-run-rules [68] 22.6% ----------------------------------------------------------------------- rewriter [53] 100.0% [59] 206(3.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [64] 100.0% ----------------------------------------------------------------------- coerce-contract [54] 100.0% [60] 198(3.2%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [69] 100.0% ----------------------------------------------------------------------- loop [55] 9.1% loop [61] 90.9% [61] 192(3.1%) 192(3.1%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [61] 90.9% ----------------------------------------------------------------------- prepare-points-intervals [21] 17.7% errors [57] 35.5% eval-const-expr [77] 46.9% [62] 1212(19.6%) 0(0.0%) temp85_0 (unknown source) compile15 [70] 100.0% ----------------------------------------------------------------------- location-do [63] 44.0% ??? [56] 56.0% [63] 1164(18.8%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [56] 50.5% location-do [63] 44.0% loop [7] 5.5% ----------------------------------------------------------------------- ??? [74] 4.3% for-loop [16] 6.3% for-loop [11] 8.7% loop [9] 10.6% for-loop [59] 12.7% first-nonzero-exp [17] 17.7% ??? [71] 19.8% ??? [56] 19.8% [64] 1084(17.5%) 206(3.3%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop74 [72] 24.0% ??? [71] 19.8% f61 [4] 13.6% matcher [6] 12.7% ??? [3] 10.6% ??? [5] 8.7% ??? [74] 4.3% ----------------------------------------------------------------------- errors [57] 100.0% [65] 812(13.1%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [18] 100.0% ----------------------------------------------------------------------- ??? [58] 100.0% [66] 760(12.3%) 760(12.3%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ----------------------------------------------------------------------- ??? [56] 100.0% [67] 608(9.8%) 202(3.3%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [73] 66.8% ----------------------------------------------------------------------- ??? [58] 100.0% [68] 222(3.6%) 0(0.0%) egg-run-rules ...droot/src/core/simplify.rkt:108:0 make-ffi-rules [75] 100.0% ----------------------------------------------------------------------- coerce-contract/f [60] 100.0% [69] 198(3.2%) 198(3.2%) coerce-simple-value ...ract/private/guts.rkt:385:0 ----------------------------------------------------------------------- temp85_0 [62] 100.0% [70] 1212(19.6%) 0(0.0%) compile15 (unknown source) temp91_0 [76] 100.0% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [71] 686(11.1%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [64] 100.0% ----------------------------------------------------------------------- taylor-invert [22] 41.9% hash-ref! [64] 58.1% [72] 682(11.0%) 192(3.1%) parse-loop74 (unknown source) eval-const-expr [77] 71.8% ----------------------------------------------------------------------- ival-add [42] 33.2% ival-mult [67] 66.8% [73] 608(9.8%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [78] 67.1% ??? [80] 32.9% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [74] 282(4.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [64] 100.0% ----------------------------------------------------------------------- egg-run-rules [68] 100.0% [75] 222(3.6%) 0(0.0%) make-ffi-rules ...s/egg-herbie-linux/main.rkt:28:0 for-loop [79] 100.0% ----------------------------------------------------------------------- compile15 [70] 100.0% [76] 1212(19.6%) 0(0.0%) temp91_0 (unknown source) temp118_0 [81] 60.9% compile-top9 [82] 39.1% ----------------------------------------------------------------------- f61 [4] 49.6% parse-loop74 [72] 50.4% [77] 972(15.7%) 200(3.2%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [62] 58.4% eval-prog [84] 21.0% ----------------------------------------------------------------------- bfmul [73] 100.0% [78] 408(6.6%) 408(6.6%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ----------------------------------------------------------------------- make-ffi-rules [75] 100.0% [79] 222(3.6%) 0(0.0%) for-loop ....5/pkgs/egg-herbie-linux/main.rkt:29:2 to-egg-pattern [83] 100.0% ----------------------------------------------------------------------- bfmul [73] 100.0% [80] 200(3.2%) 200(3.2%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ----------------------------------------------------------------------- temp91_0 [76] 100.0% [81] 738(11.9%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [85] 100.0% ----------------------------------------------------------------------- temp91_0 [76] 100.0% [82] 474(7.7%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [86] 100.0% ----------------------------------------------------------------------- for-loop [79] 33.3% to-egg-pattern [83] 66.7% [83] 222(3.6%) 222(3.6%) to-egg-pattern ...ie-linux/to-egg-pattern.rkt:17:0 to-egg-pattern [83] 66.7% ----------------------------------------------------------------------- eval-const-expr [77] 100.0% [84] 204(3.3%) 204(3.3%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 ----------------------------------------------------------------------- loop [101] 34.5% temp118_0 [81] 65.5% [85] 1126(18.2%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [87] 65.5% expand-id-application-form17 [89] 17.4% dispatch-transformer41 [88] 17.1% ----------------------------------------------------------------------- compile-top9 [82] 100.0% [86] 474(7.7%) 0(0.0%) compile-forms33 (unknown source) for-loop [93] 100.0% ----------------------------------------------------------------------- expand-capturing-lifts [85] 100.0% [87] 738(11.9%) 242(3.9%) lambda-clause-expander (unknown source) finish-bodys [90] 67.2% ----------------------------------------------------------------------- expand-capturing-lifts [85] 40.5% for-loop [93] 59.5% [88] 474(7.7%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [91] 100.0% ----------------------------------------------------------------------- expand-capturing-lifts [85] 100.0% [89] 196(3.2%) 0(0.0%) expand-id-application-form17 (unknown source) resolve+shift28 [92] 100.0% ----------------------------------------------------------------------- for-loop [93] 28.4% lambda-clause-expander [87] 71.6% [90] 496(8.0%) 0(0.0%) finish-bodys (unknown source) for-loop [93] 100.0% ----------------------------------------------------------------------- dispatch-transformer41 [88] 100.0% [91] 474(7.7%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [94] 59.5% apply-post-expansion [95] 40.5% ----------------------------------------------------------------------- expand-id-application-form17 [89]100.0% [92] 196(3.2%) 196(3.2%) resolve+shift28 (unknown source) ----------------------------------------------------------------------- for-loop [93] 9.7% finish-bodys [90] 41.4% compile-forms33 [86] 48.9% [93] 970(15.7%) 0(0.0%) for-loop (unknown source) compile-module-linklet57 [97] 48.9% syntax-e [96] 22.1% finish-bodys [90] 9.7% for-loop [93] 9.7% dispatch-transformer41 [88] 9.7% ----------------------------------------------------------------------- apply-transformer52 [91] 100.0% [94] 282(4.6%) 0(0.0%) apply-transformer-in-context (unknown source) ??? [98] 100.0% ----------------------------------------------------------------------- apply-transformer52 [91] 100.0% [95] 192(3.1%) 0(0.0%) apply-post-expansion (unknown source) gf [102] 100.0% ----------------------------------------------------------------------- for-loop [93] 43.1% loop [101] 56.9% [96] 496(8.0%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [99] 100.0% ----------------------------------------------------------------------- for-loop [93] 100.0% [97] 474(7.7%) 474(7.7%) compile-module-linklet57 (unknown source) ----------------------------------------------------------------------- apply-transformer-in-context [94]100.0% [98] 282(4.6%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 syntax->list [100] 100.0% ----------------------------------------------------------------------- syntax-e [96] 100.0% [99] 496(8.0%) 0(0.0%) syntax-e/no-taint (unknown source) loop [101] 100.0% ----------------------------------------------------------------------- ??? [98] 100.0% [100] 282(4.6%) 0(0.0%) syntax->list (unknown source) loop [101] 100.0% ----------------------------------------------------------------------- syntax->list [100] 8.7% gf [102] 8.9% loop [101] 16.3% for-loop [28] 18.5% errors [57] 19.3% syntax-e/no-taint [99] 28.4% [101] 1084(17.5%) 406(6.6%) loop (unknown source) expand-capturing-lifts [85] 19.3% ??? [103] 18.5% loop [101] 16.3% gf [102] 16.3% syntax-e [96] 8.7% ----------------------------------------------------------------------- apply-post-expansion [95] 5.8% loop [101] 94.2% [102] 474(7.7%) 282(4.6%) gf (unknown source) loop [101] 40.5% ----------------------------------------------------------------------- loop [101] 100.0% [103] 200(3.2%) 200(3.2%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 -----------------------------------------------------------------------