Profiling results ----------------- Total cpu time observed: 6852ms (out of 6736ms) Number of samples taken: 31 (once every 221ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 108 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 6852(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [9] 100.0% ------------------------------------------------------------------------ ??? [82] 100.0% [2] 1506(22.0%) 0(0.0%) approximate9 ...faster-rr/src/core/taylor.rkt:11:0 loop [10] 86.1% taylor [15] 13.9% ------------------------------------------------------------------------ loop [34] 33.9% for-loop [107] 66.1% [3] 660(9.6%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [11] 100.0% ------------------------------------------------------------------------ hash-ref! [74] 100.0% [4] 464(6.8%) 0(0.0%) ??? ...herbie/faster-rr/src/core/taylor.rkt:290:26 for-loop [12] 100.0% ------------------------------------------------------------------------ for-loop [107] 100.0% [5] 434(6.3%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [13] 100.0% ------------------------------------------------------------------------ hash-ref! [74] 100.0% [6] 428(6.2%) 0(0.0%) ??? ...herbie/faster-rr/src/core/taylor.rkt:300:23 for-loop [14] 100.0% ------------------------------------------------------------------------ for-loop [107] 100.0% [7] 396(5.8%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [51] 100.0% ------------------------------------------------------------------------ map [83] 100.0% [8] 234(3.4%) 0(0.0%) f61 (unknown source) eval-const-expr [91] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [9] 6852(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [10] 1296(18.9%) 0(0.0%) loop .../herbie/faster-rr/src/core/taylor.rkt:86:4 ??? [82] 50.3% hash-ref! [74] 49.7% ------------------------------------------------------------------------ expand-id-application-form17 [45] 23.4% syntax-e [3] 76.6% [11] 862(12.6%) 0(0.0%) syntax-e/no-taint (unknown source) loop [34] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [12] 464(6.8%) 0(0.0%) for-loop ...e/faster-rr/src/core/taylor.rkt:290:52 hash-ref! [74] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [5] 100.0% [13] 434(6.3%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [17] 51.6% loop [34] 48.4% ------------------------------------------------------------------------ ??? [6] 100.0% [14] 428(6.2%) 0(0.0%) for-loop ...e/faster-rr/src/core/taylor.rkt:303:27 hash-ref! [74] 82.1% ??? [24] 17.9% ------------------------------------------------------------------------ approximate9 [2] 100.0% [15] 210(3.1%) 0(0.0%) taylor ...rbie/faster-rr/src/core/taylor.rkt:169:0 taylor-invert [18] 100.0% ------------------------------------------------------------------------ profile-thunk16 [9] 100.0% [16] 6852(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% ------------------------------------------------------------------------ apply-transformer52 [13] 100.0% [17] 224(3.3%) 0(0.0%) apply-transformer-in-context (unknown source) ??? [20] 100.0% ------------------------------------------------------------------------ taylor [15] 100.0% [18] 210(3.1%) 0(0.0%) taylor-invert ...ster-rr/src/core/taylor.rkt:317:0 first-nonzero-exp [21] 100.0% ------------------------------------------------------------------------ for-loop [75] 4.2% run [16] 95.8% [19] 6852(100.0%) 192(2.8%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [22] 69.8% prepare-points-intervals [23] 16.2% oracle-error [25] 5.8% get-final-combination [27] 2.7% errors [70] 1.4% ??? [82] 1.4% ??? [24] 1.3% ------------------------------------------------------------------------ apply-transformer-in-context [17]100.0% [20] 224(3.3%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [26] 100.0% ------------------------------------------------------------------------ taylor-invert [18] 100.0% [21] 210(3.1%) 0(0.0%) first-nonzero-exp ...-rr/src/core/taylor.rkt:265:0 hash-ref! [74] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [19] 100.0% [22] 4968(72.5%) 0(0.0%) run-improve47 .../faster-rr/src/mainloop.rkt:346:0 for-loop [28] 79.3% simplify! [38] 20.7% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [19] 100.0% [23] 1108(16.2%) 0(0.0%) prepare-points-intervals ...r/src/points.rkt:120:0 loop [29] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [19] 44.2% for-loop [14] 55.8% [24] 412(6.0%) 412(6.0%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [19] 100.0% [25] 396(5.8%) 0(0.0%) oracle-error ...bie/faster-rr/src/points.rkt:177:0 for-loop [30] 100.0% ------------------------------------------------------------------------ ??? [20] 100.0% [26] 224(3.3%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [31] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [19] 100.0% [27] 184(2.7%) 0(0.0%) get-final-combination ...rr/src/mainloop.rkt:371:0 infer-splitpoints [32] 100.0% ------------------------------------------------------------------------ run-improve47 [22] 100.0% [28] 3938(57.5%) 0(0.0%) for-loop ...erbie/faster-rr/src/mainloop.rkt:365:4 run-iter! [33] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [23] 100.0% [29] 1108(16.2%) 184(2.7%) loop ...lies/herbie/faster-rr/src/points.rkt:132:4 ??? [35] 50.2% loop [36] 33.2% ------------------------------------------------------------------------ oracle-error [25] 100.0% [30] 396(5.8%) 0(0.0%) for-loop .../herbie/faster-rr/src/points.rkt:178:2 loop [34] 100.0% ------------------------------------------------------------------------ ??? [26] 100.0% [31] 224(3.3%) 0(0.0%) syntax->list (unknown source) loop [34] 100.0% ------------------------------------------------------------------------ get-final-combination [27] 100.0% [32] 184(2.7%) 0(0.0%) infer-splitpoints ...-rr/src/core/regimes.rkt:33:0 for-loop [37] 100.0% ------------------------------------------------------------------------ for-loop [28] 100.0% [33] 3938(57.5%) 0(0.0%) run-iter! ...rbie/faster-rr/src/mainloop.rkt:327:0 gen-series! [39] 42.9% finalize-iter! [40] 29.9% simplify! [38] 22.5% gen-rewrites! [46] 4.7% ------------------------------------------------------------------------ for-loop [107] 6.9% syntax->list [31] 7.6% loop [34] 13.6% apply-transformer52 [13] 14.3% for-loop [30] 20.3% syntax-e/no-taint [11] 37.3% [34] 1468(21.4%) 404(5.9%) loop (unknown source) gf [42] 23.6% ??? [43] 20.3% core-form-sym [44] 14.3% loop [34] 13.6% syntax-e [3] 7.6% expand-id-application-form17 [45] 6.9% ------------------------------------------------------------------------ loop [29] 100.0% [35] 556(8.1%) 0(0.0%) ??? ...tlies/herbie/faster-rr/src/points.rkt:113:6 sample-multi-bounded [41] 100.0% ------------------------------------------------------------------------ loop [29] 100.0% [36] 368(5.4%) 0(0.0%) loop ...tlies/herbie/faster-rr/src/points.rkt:79:2 ??? [82] 100.0% ------------------------------------------------------------------------ infer-splitpoints [32] 100.0% [37] 184(2.7%) 0(0.0%) for-loop ...ie/faster-rr/src/core/regimes.rkt:45:6 option-on-expr [47] 100.0% ------------------------------------------------------------------------ run-iter! [33] 46.2% run-improve47 [22] 53.8% [38] 1916(28.0%) 0(0.0%) simplify! ...rbie/faster-rr/src/mainloop.rkt:224:0 ??? [48] 100.0% ------------------------------------------------------------------------ run-iter! [33] 100.0% [39] 1690(24.7%) 0(0.0%) gen-series! ...ie/faster-rr/src/mainloop.rkt:160:0 for-loop [49] 100.0% ------------------------------------------------------------------------ run-iter! [33] 100.0% [40] 1176(17.2%) 0(0.0%) finalize-iter! ...faster-rr/src/mainloop.rkt:278:0 ??? [50] 100.0% ------------------------------------------------------------------------ ??? [35] 100.0% [41] 556(8.1%) 188(2.7%) sample-multi-bounded ...ter-rr/src/points.rkt:14:0 random-ranges [55] 33.1% for-loop [56] 33.1% ------------------------------------------------------------------------ loop [34] 100.0% [42] 458(6.7%) 234(3.4%) gf (unknown source) propagation-apply [52] 48.9% ------------------------------------------------------------------------ loop [34] 100.0% [43] 396(5.8%) 0(0.0%) ??? ...lies/herbie/faster-rr/src/points.rkt:179:26 ??? [82] 50.5% ??? [53] 49.5% ------------------------------------------------------------------------ loop [34] 100.0% [44] 210(3.1%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [51] 100.0% ------------------------------------------------------------------------ loop [34] 100.0% [45] 202(2.9%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [11] 100.0% ------------------------------------------------------------------------ run-iter! [33] 100.0% [46] 186(2.7%) 0(0.0%) gen-rewrites! .../faster-rr/src/mainloop.rkt:183:0 for-loop [54] 100.0% ------------------------------------------------------------------------ for-loop [37] 100.0% [47] 184(2.7%) 0(0.0%) option-on-expr ...er-rr/src/core/regimes.rkt:124:0 sort-context-on-expr [57] 100.0% ------------------------------------------------------------------------ simplify! [38] 100.0% [48] 1916(28.0%) 0(0.0%) ??? ...herbie/faster-rr/src/core/simplify.rkt:42:0 egraph-run [58] 100.0% ------------------------------------------------------------------------ gen-series! [39] 100.0% [49] 1690(24.7%) 0(0.0%) for-loop ...erbie/faster-rr/src/mainloop.rkt:167:7 taylor-alt [59] 100.0% ------------------------------------------------------------------------ finalize-iter! [40] 100.0% [50] 1176(17.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [60] 100.0% ------------------------------------------------------------------------ core-form-sym [44] 34.7% expand-implicit [7] 65.3% [51] 606(8.8%) 210(3.1%) resolve+shift28 (unknown source) fallback-loop [61] 65.3% ------------------------------------------------------------------------ gf [42] 100.0% [52] 224(3.3%) 224(3.3%) propagation-apply (unknown source) ------------------------------------------------------------------------ ??? [43] 100.0% [53] 196(2.9%) 196(2.9%) ??? ...rbie/faster-rr/src/syntax/syntax.rkt:214:17 ------------------------------------------------------------------------ gen-rewrites! [46] 100.0% [54] 186(2.7%) 0(0.0%) for-loop ...rbie/faster-rr/src/mainloop.rkt:191:11 rewrite-expression-head24 [62] 100.0% ------------------------------------------------------------------------ sample-multi-bounded [41] 100.0% [55] 184(2.7%) 184(2.7%) random-ranges ...ie/faster-rr/src/common.rkt:164:0 ------------------------------------------------------------------------ sample-multi-bounded [41] 100.0% [56] 184(2.7%) 184(2.7%) for-loop ...s/herbie/faster-rr/src/points.rkt:20:4 ------------------------------------------------------------------------ option-on-expr [47] 100.0% [57] 184(2.7%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [63] 100.0% ------------------------------------------------------------------------ ??? [48] 100.0% [58] 1916(28.0%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [64] 100.0% ------------------------------------------------------------------------ for-loop [49] 100.0% [59] 1690(24.7%) 0(0.0%) taylor-alt ...bie/faster-rr/src/mainloop.rkt:146:0 for-loop [65] 100.0% ------------------------------------------------------------------------ ??? [50] 100.0% [60] 1176(17.2%) 0(0.0%) for-loop .../faster-rr/src/core/alt-table.rkt:46:2 atab-add-altn [66] 68.7% errors [70] 31.3% ------------------------------------------------------------------------ resolve+shift28 [51] 100.0% [61] 396(5.8%) 0(0.0%) fallback-loop (unknown source) for-loop [107] 100.0% ------------------------------------------------------------------------ for-loop [54] 100.0% [62] 186(2.7%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [67] 100.0% ------------------------------------------------------------------------ sort-context-on-expr [57] 100.0% [63] 184(2.7%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [68] 100.0% ------------------------------------------------------------------------ egraph-run [58] 100.0% [64] 1916(28.0%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [69] 100.0% ------------------------------------------------------------------------ taylor-alt [59] 100.0% [65] 1690(24.7%) 0(0.0%) for-loop ...erbie/faster-rr/src/mainloop.rkt:152:6 ??? [82] 100.0% ------------------------------------------------------------------------ for-loop [60] 100.0% [66] 808(11.8%) 0(0.0%) atab-add-altn ...r-rr/src/core/alt-table.rkt:194:0 errors [70] 100.0% ------------------------------------------------------------------------ rewrite-expression-head24 [62] 100.0% [67] 186(2.7%) 0(0.0%) rewriter ...ie/faster-rr/src/core/matcher.rkt:87:2 for-loop [71] 100.0% ------------------------------------------------------------------------ ??? [63] 100.0% [68] 184(2.7%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [72] 100.0% ------------------------------------------------------------------------ egraph-add-exprs [64] 100.0% [69] 1916(28.0%) 0(0.0%) ??? ...erbie/faster-rr/src/core/simplify.rkt:102:6 for-loop [73] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [19] 14.3% for-loop [60] 26.8% atab-add-altn [66] 58.9% [70] 1372(20.0%) 0(0.0%) errors ...es/herbie/faster-rr/src/points.rkt:190:0 temp85_0 [94] 58.5% for-loop [75] 41.5% ------------------------------------------------------------------------ rewriter [67] 100.0% [71] 186(2.7%) 0(0.0%) for-loop ...ie/faster-rr/src/core/matcher.rkt:89:4 hash-ref! [74] 100.0% ------------------------------------------------------------------------ copying-mergesort [72] 50.0% generic-sort/key [68] 50.0% [72] 184(2.7%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [72] 50.0% loop [76] 50.0% ------------------------------------------------------------------------ ??? [69] 100.0% [73] 1916(28.0%) 1916(28.0%) for-loop .../faster-rr/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ ??? [80] 2.3% ??? [84] 2.3% for-loop [12] 5.7% for-loop [14] 8.4% for-loop [71] 11.0% loop [10] 11.5% first-nonzero-exp [21] 12.4% ??? [77] 22.1% ??? [82] 24.3% [74] 1692(24.7%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [77] 24.3% f40 [78] 20.0% parse-loop74 [87] 14.5% ??? [79] 11.5% matcher [81] 11.0% ??? [6] 10.7% ??? [4] 5.7% ??? [80] 2.3% ------------------------------------------------------------------------ errors [70] 100.0% [75] 570(8.3%) 0(0.0%) for-loop .../herbie/faster-rr/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [19] 100.0% ------------------------------------------------------------------------ copying-mergesort [72] 100.0% [76] 184(2.7%) 184(2.7%) loop ...7.5/collects/racket/private/sort.rkt:96:12 ------------------------------------------------------------------------ hash-ref! [74] 100.0% [77] 1296(18.9%) 0(0.0%) ??? .../herbie/faster-rr/src/core/taylor.rkt:44:15 hash-ref! [74] 82.3% ??? [84] 17.7% ------------------------------------------------------------------------ map [83] 17.9% hash-ref! [74] 82.1% [78] 652(9.5%) 0(0.0%) f40 (unknown source) map [83] 100.0% ------------------------------------------------------------------------ hash-ref! [74] 100.0% [79] 644(9.4%) 0(0.0%) ??? .../herbie/faster-rr/src/core/taylor.rkt:67:15 ??? [82] 100.0% ------------------------------------------------------------------------ hash-ref! [74] 100.0% [80] 230(3.4%) 0(0.0%) ??? ...herbie/faster-rr/src/core/taylor.rkt:327:33 hash-ref! [74] 100.0% ------------------------------------------------------------------------ hash-ref! [74] 100.0% [81] 186(2.7%) 0(0.0%) matcher ...ie/faster-rr/src/core/matcher.rkt:119:2 ??? [85] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [19] 8.0% ??? [43] 8.1% ??? [79] 8.7% loop [10] 8.9% loop [36] 15.0% location-do [86] 25.6% for-loop [65] 25.6% [82] 2454(35.8%) 396(5.8%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [86] 25.6% approximate9 [2] 21.9% hash-ref! [74] 17.6% ival-mult [88] 15.0% simplify [90] 3.7% ------------------------------------------------------------------------ f40 [78] 100.0% [83] 652(9.5%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [87] 64.1% f40 [78] 17.9% f61 [8] 17.9% ------------------------------------------------------------------------ ??? [77] 100.0% [84] 230(3.4%) 0(0.0%) ??? ...herbie/faster-rr/src/core/taylor.rkt:293:19 hash-ref! [74] 100.0% ------------------------------------------------------------------------ matcher [81] 100.0% [85] 186(2.7%) 0(0.0%) ??? ...erbie/faster-rr/src/core/matcher.rkt:131:11 foldl [89] 100.0% ------------------------------------------------------------------------ location-do [86] 42.3% ??? [82] 57.7% [86] 1690(24.7%) 0(0.0%) location-do ...bie/faster-rr/src/programs.rkt:63:0 ??? [82] 57.7% location-do [86] 42.3% ------------------------------------------------------------------------ map [83] 40.1% hash-ref! [74] 59.9% [87] 1042(15.2%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [91] 100.0% ------------------------------------------------------------------------ ??? [82] 100.0% [88] 368(5.4%) 182(2.7%) ival-mult ...e/faster-rr/src/biginterval.rkt:120:0 bfmul [92] 50.5% ------------------------------------------------------------------------ ??? [85] 100.0% [89] 186(2.7%) 186(2.7%) foldl ....5/collects/racket/private/list.rkt:229:4 ------------------------------------------------------------------------ ??? [82] 100.0% [90] 184(2.7%) 0(0.0%) simplify ...bie/faster-rr/src/core/reduce.rkt:16:0 f16 [93] 100.0% ------------------------------------------------------------------------ f61 [8] 18.3% parse-loop74 [87] 81.7% [91] 1276(18.6%) 0(0.0%) eval-const-expr ...aster-rr/src/programs.rkt:120:0 temp85_0 [94] 100.0% ------------------------------------------------------------------------ ival-mult [88] 100.0% [92] 186(2.7%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [95] 100.0% ------------------------------------------------------------------------ simplify [90] 25.0% f16 [93] 75.0% [93] 184(2.7%) 0(0.0%) f16 (unknown source) f16 [93] 75.0% loop [96] 25.0% ------------------------------------------------------------------------ errors [70] 38.6% eval-const-expr [91] 61.4% [94] 2078(30.3%) 0(0.0%) temp85_0 (unknown source) compile15 [97] 100.0% ------------------------------------------------------------------------ bfmul [92] 100.0% [95] 186(2.7%) 186(2.7%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ f16 [93] 100.0% [96] 184(2.7%) 0(0.0%) loop .../herbie/faster-rr/src/core/reduce.rkt:18:2 type-of [98] 100.0% ------------------------------------------------------------------------ temp85_0 [94] 100.0% [97] 2078(30.3%) 0(0.0%) compile15 (unknown source) temp91_0 [99] 100.0% ------------------------------------------------------------------------ loop [96] 100.0% [98] 184(2.7%) 0(0.0%) type-of ...erbie/faster-rr/src/type-check.rkt:36:0 variable? [100] 100.0% ------------------------------------------------------------------------ compile15 [97] 100.0% [99] 2078(30.3%) 0(0.0%) temp91_0 (unknown source) temp118_0 [101] 100.0% ------------------------------------------------------------------------ type-of [98] 100.0% [100] 184(2.7%) 0(0.0%) variable? ...faster-rr/src/syntax/syntax.rkt:729:0 value? [102] 100.0% ------------------------------------------------------------------------ temp91_0 [99] 100.0% [101] 2078(30.3%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [103] 100.0% ------------------------------------------------------------------------ variable? [100] 100.0% [102] 184(2.7%) 184(2.7%) value? ...rbie/faster-rr/src/syntax/types.rkt:18:0 ------------------------------------------------------------------------ temp118_0 [101] 100.0% [103] 2078(30.3%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [104] 90.0% datum->syntax6 [105] 10.0% ------------------------------------------------------------------------ expand-capturing-lifts [103] 100.0% [104] 1870(27.3%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [106] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [103] 100.0% [105] 208(3.0%) 208(3.0%) datum->syntax6 (unknown source) ------------------------------------------------------------------------ lambda-clause-expander [104] 45.7% for-loop [107] 54.3% [106] 1870(27.3%) 0(0.0%) finish-bodys (unknown source) for-loop [107] 100.0% ------------------------------------------------------------------------ fallback-loop [61] 4.2% for-loop [107] 34.6% finish-bodys [106] 59.4% [107] 1870(27.3%) 798(11.6%) for-loop (unknown source) for-loop [107] 34.6% finish-bodys [106] 32.2% dispatch-transformer41 [5] 9.6% syntax-e [3] 5.3% expand-implicit [7] 4.2% loop [34] 3.6% ------------------------------------------------------------------------