Profiling results ----------------- Total cpu time observed: 7950ms (out of 8128ms) Number of samples taken: 33 (once every 241ms) ==================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ==================================================================== [1] 7950(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [8] 100.0% -------------------------------------------------------------------- ??? [66] 100.0% [2] 2384(30.0%) 0(0.0%) approximate9 ...better-rr/src/core/taylor.rkt:11:0 loop [9] 66.0% taylor-quotient [12] 16.9% taylor [27] 8.7% f40 [14] 8.4% -------------------------------------------------------------------- hash-ref! [72] 100.0% [3] 970(12.2%) 0(0.0%) ??? ...herbie/better-rr/src/core/taylor.rkt:290:26 for-loop [10] 100.0% -------------------------------------------------------------------- matcher [82] 100.0% [4] 472(5.9%) 0(0.0%) ??? ...erbie/better-rr/src/core/matcher.rkt:130:11 for-loop [11] 100.0% -------------------------------------------------------------------- for-loop [102] 44.1% loop [93] 55.9% [5] 422(5.3%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [99] 100.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [6] 394(5.0%) 0(0.0%) ??? ...herbie/better-rr/src/core/taylor.rkt:300:23 for-loop [13] 100.0% -------------------------------------------------------------------- for-loop [102] 100.0% [7] 184(2.3%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [98] 100.0% -------------------------------------------------------------------- ??? [1] 100.0% [8] 7950(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% -------------------------------------------------------------------- approximate9 [2] 100.0% [9] 1574(19.8%) 0(0.0%) loop .../herbie/better-rr/src/core/taylor.rkt:86:4 ??? [66] 100.0% -------------------------------------------------------------------- ??? [3] 100.0% [10] 970(12.2%) 0(0.0%) for-loop ...e/better-rr/src/core/taylor.rkt:290:52 hash-ref! [72] 59.4% ??? [18] 21.6% f61 [16] 19.0% -------------------------------------------------------------------- ??? [4] 100.0% [11] 472(5.9%) 0(0.0%) for-loop .../better-rr/src/core/matcher.rkt:132:15 hash-ref! [72] 100.0% -------------------------------------------------------------------- approximate9 [2] 100.0% [12] 402(5.1%) 0(0.0%) taylor-quotient ...er-rr/src/core/taylor.rkt:333:0 first-nonzero-exp [17] 100.0% -------------------------------------------------------------------- ??? [6] 100.0% [13] 394(5.0%) 0(0.0%) for-loop ...e/better-rr/src/core/taylor.rkt:303:27 hash-ref! [72] 100.0% -------------------------------------------------------------------- map [20] 50.0% approximate9 [2] 50.0% [14] 200(2.5%) 0(0.0%) f40 (unknown source) map [20] 100.0% -------------------------------------------------------------------- profile-thunk16 [8] 100.0% [15] 7950(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% -------------------------------------------------------------------- for-loop [10] 15.8% parse-loop74 [24] 15.8% map [20] 17.1% hash-ref! [72] 51.4% [16] 1168(14.7%) 0(0.0%) f61 (unknown source) map [20] 49.5% eval-const-expr [31] 33.4% composed [21] 17.1% -------------------------------------------------------------------- taylor-quotient [12] 100.0% [17] 402(5.1%) 0(0.0%) first-nonzero-exp ...-rr/src/core/taylor.rkt:265:0 hash-ref! [72] 100.0% -------------------------------------------------------------------- for-loop [10] 100.0% [18] 210(2.6%) 0(0.0%) ??? ...herbie/better-rr/src/core/taylor.rkt:293:19 hash-ref! [72] 100.0% -------------------------------------------------------------------- for-loop [75] 5.4% run [15] 94.6% [19] 7950(100.0%) 388(4.9%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [22] 67.4% prepare-points-intervals [23] 20.8% ??? [25] 2.8% oracle-error [28] 2.6% errors [68] 1.4% ulp-difference [26] 1.4% -------------------------------------------------------------------- f40 [14] 20.3% taylor [27] 21.1% f61 [16] 58.6% [20] 986(12.4%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [24] 58.6% taylor [27] 21.1% f40 [14] 10.1% f61 [16] 10.1% -------------------------------------------------------------------- f61 [16] 100.0% [21] 200(2.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [29] 100.0% -------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [22] 5674(71.4%) 0(0.0%) run-improve47 .../better-rr/src/mainloop.rkt:364:0 for-loop [30] 100.0% -------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [23] 1650(20.8%) 0(0.0%) prepare-points-intervals ...r/src/points.rkt:122:0 loop [32] 100.0% -------------------------------------------------------------------- loop [93] 6.6% parse-loop74 [24] 9.7% map [20] 16.3% hash-ref! [72] 67.4% [24] 1586(19.9%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [31] 73.2% parse-loop74 [24] 9.7% loop [93] 6.6% simplify* [34] 6.6% f61 [16] 3.9% -------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [25] 444(5.6%) 0(0.0%) ??? ...rbie/better-rr/src/syntax/syntax.rkt:214:17 return/no-unsupplied [33] 100.0% -------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [26] 222(2.8%) 222(2.8%) ulp-difference ...bie/better-rr/src/float.rkt:19:0 -------------------------------------------------------------------- map [20] 20.0% approximate9 [2] 20.0% taylor [27] 60.0% [27] 208(2.6%) 0(0.0%) taylor ...rbie/better-rr/src/core/taylor.rkt:169:0 taylor [27] 60.0% map [20] 20.0% debug-print [35] 20.0% -------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [28] 204(2.6%) 0(0.0%) oracle-error ...bie/better-rr/src/points.rkt:179:0 for-loop [36] 100.0% -------------------------------------------------------------------- composed [21] 33.3% append-map [38] 66.7% [29] 200(2.5%) 0(0.0%) free-variables .../better-rr/src/programs.rkt:80:0 append-map [38] 66.7% variable? [37] 33.3% -------------------------------------------------------------------- run-improve47 [22] 100.0% [30] 5674(71.4%) 0(0.0%) for-loop ...erbie/better-rr/src/mainloop.rkt:383:4 run-iter! [39] 100.0% -------------------------------------------------------------------- f61 [16] 22.1% parse-loop74 [24] 77.9% [31] 1766(22.2%) 0(0.0%) eval-const-expr ...etter-rr/src/programs.rkt:144:0 temp85_0 [74] 89.6% loop [93] 10.4% -------------------------------------------------------------------- prepare-points-intervals [23] 100.0% [32] 1650(20.8%) 222(2.8%) loop ...lies/herbie/better-rr/src/points.rkt:134:4 loop [40] 74.4% do-curry [42] 12.1% -------------------------------------------------------------------- ??? [25] 100.0% [33] 444(5.6%) 444(5.6%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 -------------------------------------------------------------------- parse-loop74 [24] 100.0% [34] 210(2.6%) 210(2.6%) simplify* ...ie/better-rr/src/core/reduce.rkt:28:0 -------------------------------------------------------------------- taylor [27] 100.0% [35] 208(2.6%) 0(0.0%) debug-print ...erbie/better-rr/src/debug.rkt:110:0 for-loop [41] 100.0% -------------------------------------------------------------------- oracle-error [28] 100.0% [36] 204(2.6%) 0(0.0%) for-loop .../herbie/better-rr/src/points.rkt:180:2 loop [93] 100.0% -------------------------------------------------------------------- free-variables [29] 100.0% [37] 200(2.5%) 0(0.0%) variable? ...better-rr/src/syntax/syntax.rkt:729:0 ??? [49] 100.0% -------------------------------------------------------------------- free-variables [29] 100.0% [38] 200(2.5%) 0(0.0%) append-map ...t-7.5/collects/racket/list.rkt:586:2 free-variables [29] 100.0% -------------------------------------------------------------------- for-loop [30] 100.0% [39] 5674(71.4%) 0(0.0%) run-iter! ...rbie/better-rr/src/mainloop.rkt:345:0 gen-series! [43] 42.0% simplify! [44] 23.3% finalize-iter! [45] 17.9% gen-rewrites! [46] 16.7% -------------------------------------------------------------------- loop [32] 100.0% [40] 1228(15.4%) 218(2.7%) loop ...tlies/herbie/better-rr/src/points.rkt:79:2 ??? [66] 33.1% ??? [47] 32.7% ??? [49] 16.4% -------------------------------------------------------------------- debug-print [35] 100.0% [41] 208(2.6%) 208(2.6%) for-loop ...s/herbie/better-rr/src/debug.rkt:116:2 -------------------------------------------------------------------- loop [32] 100.0% [42] 200(2.5%) 200(2.5%) do-curry ...-7.5/collects/racket/function.rkt:71:2 -------------------------------------------------------------------- run-iter! [39] 100.0% [43] 2384(30.0%) 0(0.0%) gen-series! ...ie/better-rr/src/mainloop.rkt:159:0 for-loop [48] 100.0% -------------------------------------------------------------------- run-iter! [39] 100.0% [44] 1324(16.7%) 0(0.0%) simplify! ...rbie/better-rr/src/mainloop.rkt:223:0 ??? [50] 100.0% -------------------------------------------------------------------- run-iter! [39] 100.0% [45] 1018(12.8%) 0(0.0%) finalize-iter! ...better-rr/src/mainloop.rkt:277:0 ??? [49] 100.0% -------------------------------------------------------------------- run-iter! [39] 100.0% [46] 948(11.9%) 0(0.0%) gen-rewrites! .../better-rr/src/mainloop.rkt:182:0 for-loop [51] 50.2% for-loop [52] 49.8% -------------------------------------------------------------------- loop [40] 100.0% [47] 402(5.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sub [53] 50.2% ival-add [54] 49.8% -------------------------------------------------------------------- gen-series! [43] 100.0% [48] 2384(30.0%) 0(0.0%) for-loop ...erbie/better-rr/src/mainloop.rkt:166:7 taylor-alt [55] 100.0% -------------------------------------------------------------------- variable? [37] 14.1% loop [40] 14.2% finalize-iter! [45] 71.7% [49] 1420(17.9%) 402(5.1%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [57] 71.7% -------------------------------------------------------------------- simplify! [44] 100.0% [50] 1324(16.7%) 0(0.0%) ??? ...herbie/better-rr/src/core/simplify.rkt:42:0 egraph-run [56] 100.0% -------------------------------------------------------------------- gen-rewrites! [46] 100.0% [51] 476(6.0%) 0(0.0%) for-loop ...erbie/better-rr/src/mainloop.rkt:207:4 for-loop [58] 100.0% -------------------------------------------------------------------- gen-rewrites! [46] 100.0% [52] 472(5.9%) 0(0.0%) for-loop ...rbie/better-rr/src/mainloop.rkt:190:11 rewrite-expression-head23 [59] 100.0% -------------------------------------------------------------------- ??? [47] 100.0% [53] 202(2.5%) 0(0.0%) ival-sub ...ie/better-rr/src/biginterval.rkt:117:0 bfdiv [81] 100.0% -------------------------------------------------------------------- ??? [47] 100.0% [54] 200(2.5%) 0(0.0%) ival-add ...ie/better-rr/src/biginterval.rkt:111:0 bfdiv [81] 100.0% -------------------------------------------------------------------- for-loop [48] 100.0% [55] 2384(30.0%) 0(0.0%) taylor-alt ...bie/better-rr/src/mainloop.rkt:145:0 for-loop [60] 100.0% -------------------------------------------------------------------- ??? [50] 100.0% [56] 1324(16.7%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [61] 100.0% -------------------------------------------------------------------- ??? [49] 100.0% [57] 1018(12.8%) 0(0.0%) for-loop ...better-rr/src/core/alt-table.rkt:192:2 atab-add-altn [62] 80.4% loop [65] 19.6% -------------------------------------------------------------------- for-loop [51] 100.0% [58] 476(6.0%) 0(0.0%) for-loop ...erbie/better-rr/src/mainloop.rkt:208:6 change-apply [63] 100.0% -------------------------------------------------------------------- for-loop [52] 100.0% [59] 472(5.9%) 0(0.0%) rewrite-expression-head23 ...core/matcher.rkt:83:0 rewriter [64] 100.0% -------------------------------------------------------------------- taylor-alt [55] 100.0% [60] 2384(30.0%) 0(0.0%) for-loop ...erbie/better-rr/src/mainloop.rkt:151:6 ??? [66] 100.0% -------------------------------------------------------------------- egraph-run [56] 100.0% [61] 1324(16.7%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [67] 100.0% -------------------------------------------------------------------- for-loop [57] 100.0% [62] 818(10.3%) 0(0.0%) atab-add-altn ...r-rr/src/core/alt-table.rkt:195:0 errors [68] 100.0% -------------------------------------------------------------------- for-loop [58] 100.0% [63] 476(6.0%) 0(0.0%) change-apply ...etter-rr/src/core/matcher.rkt:69:0 pattern-substitute [69] 100.0% -------------------------------------------------------------------- rewrite-expression-head23 [59] 25.0% matcher [82] 75.0% [64] 472(5.9%) 472(5.9%) rewriter ...ie/better-rr/src/core/matcher.rkt:85:2 for-loop [70] 75.0% -------------------------------------------------------------------- for-loop [57] 100.0% [65] 200(2.5%) 0(0.0%) loop ...bie/better-rr/src/core/alt-table.rkt:159:2 loop [71] 100.0% -------------------------------------------------------------------- loop [40] 14.6% loop [9] 18.8% location-do [73] 33.3% for-loop [60] 33.3% [66] 2790(35.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [73] 33.3% approximate9 [2] 33.3% hash-ref! [72] 18.8% ival-div [78] 14.6% -------------------------------------------------------------------- egraph-add-exprs [61] 100.0% [67] 1324(16.7%) 0(0.0%) ??? ...erbie/better-rr/src/core/simplify.rkt:102:6 for-loop [76] 58.0% egg-run-rules [77] 42.0% -------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 21.3% atab-add-altn [62] 78.7% [68] 1040(13.1%) 0(0.0%) errors ...es/herbie/better-rr/src/points.rkt:192:0 for-loop [75] 82.1% temp85_0 [74] 17.9% -------------------------------------------------------------------- change-apply [63] 100.0% [69] 476(6.0%) 476(6.0%) pattern-substitute ...rr/src/core/matcher.rkt:45:0 -------------------------------------------------------------------- rewriter [64] 100.0% [70] 472(5.9%) 0(0.0%) for-loop ...ie/better-rr/src/core/matcher.rkt:87:4 hash-ref! [72] 100.0% -------------------------------------------------------------------- loop [65] 33.3% loop [71] 66.7% [71] 200(2.5%) 200(2.5%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [71] 66.7% -------------------------------------------------------------------- ??? [18] 2.1% for-loop [13] 4.0% ??? [83] 4.6% for-loop [10] 6.5% for-loop [11] 9.6% for-loop [70] 9.6% first-nonzero-exp [17] 16.4% ??? [80] 23.5% ??? [66] 23.5% [72] 2448(30.8%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop74 [24] 31.3% ??? [80] 23.5% matcher [82] 19.3% ??? [3] 11.2% f61 [16] 6.1% ??? [83] 4.6% ??? [6] 4.0% -------------------------------------------------------------------- location-do [73] 28.0% ??? [66] 72.0% [73] 2384(30.0%) 0(0.0%) location-do ...bie/better-rr/src/programs.rkt:87:0 ??? [66] 72.0% location-do [73] 28.0% -------------------------------------------------------------------- errors [68] 10.5% eval-const-expr [31] 89.5% [74] 1768(22.2%) 0(0.0%) temp85_0 (unknown source) compile15 [79] 100.0% -------------------------------------------------------------------- errors [68] 100.0% [75] 854(10.7%) 0(0.0%) for-loop .../herbie/better-rr/src/points.rkt:194:2 .../more-scheme.rkt:261:28 [19]100.0% -------------------------------------------------------------------- ??? [67] 100.0% [76] 768(9.7%) 768(9.7%) for-loop .../better-rr/src/core/simplify.rkt:121:2 -------------------------------------------------------------------- ??? [67] 100.0% [77] 556(7.0%) 556(7.0%) egg-run-rules ...er-rr/src/core/simplify.rkt:108:0 -------------------------------------------------------------------- ??? [66] 100.0% [78] 406(5.1%) 0(0.0%) ival-div ...ie/better-rr/src/biginterval.rkt:149:0 bfdiv [81] 100.0% -------------------------------------------------------------------- temp85_0 [74] 100.0% [79] 1768(22.2%) 0(0.0%) compile15 (unknown source) temp91_0 [84] 100.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [80] 1574(19.8%) 0(0.0%) ??? .../herbie/better-rr/src/core/taylor.rkt:44:15 hash-ref! [72] 100.0% -------------------------------------------------------------------- ival-add [54] 24.8% ival-sub [53] 25.0% ival-div [78] 50.2% [81] 808(10.2%) 200(2.5%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [85] 50.2% ??? [86] 25.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [82] 472(5.9%) 0(0.0%) matcher ...ie/better-rr/src/core/matcher.rkt:118:2 ??? [4] 50.0% rewriter [64] 50.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [83] 390(4.9%) 0(0.0%) ??? ...herbie/better-rr/src/core/taylor.rkt:343:33 hash-ref! [72] 100.0% -------------------------------------------------------------------- compile15 [79] 100.0% [84] 1768(22.2%) 0(0.0%) temp91_0 (unknown source) temp118_0 [87] 100.0% -------------------------------------------------------------------- bfdiv [81] 100.0% [85] 406(5.1%) 406(5.1%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 -------------------------------------------------------------------- bfdiv [81] 100.0% [86] 202(2.5%) 202(2.5%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 -------------------------------------------------------------------- temp91_0 [84] 100.0% [87] 1768(22.2%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [88] 100.0% -------------------------------------------------------------------- loop [93] 9.4% temp118_0 [87] 90.6% [88] 1952(24.6%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [89] 70.0% dispatch-transformer41 [90] 30.0% -------------------------------------------------------------------- expand-capturing-lifts [88] 100.0% [89] 1366(17.2%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [92] 69.3% loop [93] 30.7% -------------------------------------------------------------------- for-loop [102] 17.0% loop [93] 34.7% expand-capturing-lifts [88] 48.3% [90] 1212(15.2%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [91] 100.0% -------------------------------------------------------------------- dispatch-transformer41 [90] 100.0% [91] 1212(15.2%) 206(2.6%) apply-transformer52 (unknown source) loop [93] 67.8% apply-post-expansion [94] 15.2% -------------------------------------------------------------------- lambda-clause-expander [89] 17.1% for-loop [102] 82.9% [92] 946(11.9%) 0(0.0%) finish-bodys (unknown source) for-loop [102] 100.0% -------------------------------------------------------------------- parse-loop74 [24] 6.5% lambda-clause-expander [89] 9.4% loop [93] 10.2% eval-const-expr [31] 11.5% for-loop [36] 12.7% syntax-e/no-taint [99] 15.3% apply-transformer52 [91] 34.4% [93] 1606(20.2%) 0(0.0%) loop (unknown source) core-form-sym [96] 30.8% gf [95] 15.3% *bit-width* [97] 12.7% expand-capturing-lifts [88] 11.5% loop [93] 10.2% dispatch-transformer41 [90] 9.4% parse-loop74 [24] 6.5% syntax-e [5] 3.7% -------------------------------------------------------------------- apply-transformer52 [91] 100.0% [94] 184(2.3%) 0(0.0%) apply-post-expansion (unknown source) gf [95] 100.0% -------------------------------------------------------------------- apply-post-expansion [94] 30.4% loop [93] 69.6% [95] 606(7.6%) 236(3.0%) gf (unknown source) propagation-apply-shifted [100] 30.7% syntax-e/no-taint [99] 30.4% -------------------------------------------------------------------- loop [93] 100.0% [96] 586(7.4%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [98] 100.0% -------------------------------------------------------------------- loop [93] 100.0% [97] 204(2.6%) 204(2.6%) *bit-width* ...herbie/better-rr/src/float.rkt:34:0 -------------------------------------------------------------------- expand-implicit [7] 23.9% core-form-sym [96] 76.1% [98] 770(9.7%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [101] 100.0% -------------------------------------------------------------------- gf [95] 30.4% syntax-e [5] 69.6% [99] 606(7.6%) 184(2.3%) syntax-e/no-taint (unknown source) loop [93] 69.6% -------------------------------------------------------------------- gf [95] 100.0% [100] 186(2.3%) 186(2.3%) propagation-apply-shifted (unknown source) -------------------------------------------------------------------- resolve+shift28 [98] 100.0% [101] 770(9.7%) 586(7.4%) fallback-loop (unknown source) for-loop [102] 23.9% -------------------------------------------------------------------- fallback-loop [101] 16.3% for-loop [102] 19.9% finish-bodys [92] 63.8% [102] 1130(14.2%) 184(2.3%) for-loop (unknown source) finish-bodys [92] 53.1% for-loop [102] 19.9% expand-implicit [7] 2.7% datum->syntax6 [104] 2.7% dispatch-transformer41 [90] 2.6% syntax-e [5] 1.5% add-local-binding!39 [103] 1.2% -------------------------------------------------------------------- for-loop [102] 100.0% [103] 186(2.3%) 186(2.3%) add-local-binding!39 (unknown source) -------------------------------------------------------------------- for-loop [102] 100.0% [104] 184(2.3%) 184(2.3%) datum->syntax6 (unknown source) --------------------------------------------------------------------