Profiling results ----------------- Total cpu time observed: 6316ms (out of 6528ms) Number of samples taken: 28 (once every 226ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 6316(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [7] 100.0% ------------------------------------------------------------------------ matcher [76] 100.0% [2] 674(10.7%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:127:11 for-loop [8] 100.0% ------------------------------------------------------------------------ hash-ref! [77] 100.0% [3] 570(9.0%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [64] 100.0% ------------------------------------------------------------------------ ??? [64] 100.0% [4] 570(9.0%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [9] 100.0% ------------------------------------------------------------------------ hash-ref! [77] 34.0% map [26] 66.0% [5] 570(9.0%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [10] 100.0% ------------------------------------------------------------------------ hash-ref! [77] 100.0% [6] 194(3.1%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [11] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [7] 6316(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% ------------------------------------------------------------------------ ??? [2] 100.0% [8] 674(10.7%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:129:15 matcher [76] 100.0% ------------------------------------------------------------------------ approximate9 [4] 100.0% [9] 570(9.0%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [77] 100.0% ------------------------------------------------------------------------ parse-loop74 [5] 100.0% [10] 570(9.0%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [66] 66.0% loop [102] 34.0% ------------------------------------------------------------------------ ??? [6] 100.0% [11] 194(3.1%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [77] 100.0% ------------------------------------------------------------------------ profile-thunk16 [7] 100.0% [12] 6316(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [13] 100.0% ------------------------------------------------------------------------ for-loop [68] 1.5% run [12] 98.5% [13] 6316(100.0%) 0(0.0%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [14] 55.2% prepare-points-intervals [15] 22.5% get-final-combination [16] 6.6% oracle-error [17] 6.5% errors [57] 4.7% eval-errors [18] 3.0% ??? [64] 1.5% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [13] 100.0% [14] 3486(55.2%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [19] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [13] 100.0% [15] 1424(22.5%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [20] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [13] 100.0% [16] 414(6.6%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [21] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [13] 100.0% [17] 408(6.5%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [22] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [13] 100.0% [18] 192(3.0%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [23] 100.0% ------------------------------------------------------------------------ run-improve47 [14] 100.0% [19] 3486(55.2%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [24] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [15] 100.0% [20] 1424(22.5%) 198(3.1%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [25] 71.6% ??? [28] 14.5% ------------------------------------------------------------------------ get-final-combination [16] 100.0% [21] 414(6.6%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [27] 100.0% ------------------------------------------------------------------------ oracle-error [17] 100.0% [22] 408(6.5%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 map [26] 100.0% ------------------------------------------------------------------------ eval-errors [18] 100.0% [23] 192(3.0%) 192(3.0%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ------------------------------------------------------------------------ for-loop [19] 100.0% [24] 3486(55.2%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 simplify! [29] 34.5% finalize-iter! [30] 24.3% gen-series! [31] 21.9% gen-rewrites! [32] 19.3% ------------------------------------------------------------------------ loop [20] 100.0% [25] 1020(16.1%) 0(0.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [64] 60.0% ??? [39] 21.8% real->precision [37] 18.2% ------------------------------------------------------------------------ for-loop [22] 41.8% f40 [84] 58.2% [26] 976(15.5%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 f40 [84] 38.8% ??? [42] 21.3% loop [35] 20.5% parse-loop74 [5] 12.8% make-multiplication-node [36] 6.6% ------------------------------------------------------------------------ infer-splitpoints [21] 100.0% [27] 414(6.6%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [33] 100.0% ------------------------------------------------------------------------ loop [20] 100.0% [28] 206(3.3%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 ??? [34] 100.0% ------------------------------------------------------------------------ run-iter! [24] 100.0% [29] 1204(19.1%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [38] 100.0% ------------------------------------------------------------------------ run-iter! [24] 100.0% [30] 846(13.4%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [39] 100.0% ------------------------------------------------------------------------ run-iter! [24] 100.0% [31] 762(12.1%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [40] 100.0% ------------------------------------------------------------------------ run-iter! [24] 100.0% [32] 674(10.7%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [41] 100.0% ------------------------------------------------------------------------ for-loop [27] 100.0% [33] 414(6.6%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 err-lsts->split-indices [43] 52.7% sort-context-on-expr [44] 47.3% ------------------------------------------------------------------------ ??? [28] 100.0% [34] 206(3.3%) 206(3.3%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ------------------------------------------------------------------------ map [26] 100.0% [35] 200(3.2%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:40:19 ??? [42] 100.0% ------------------------------------------------------------------------ map [26] 100.0% [36] 192(3.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:232:0 make-multiplication-subnode [45] 100.0% ------------------------------------------------------------------------ loop [25] 100.0% [37] 186(2.9%) 186(2.9%) real->precision ...findroot/src/programs.rkt:94:11 ------------------------------------------------------------------------ simplify! [29] 100.0% [38] 1204(19.1%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [46] 100.0% ------------------------------------------------------------------------ loop [25] 20.8% finalize-iter! [30] 79.2% [39] 1068(16.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [47] 79.2% ??? [50] 20.8% ------------------------------------------------------------------------ gen-series! [31] 100.0% [40] 762(12.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [48] 100.0% ------------------------------------------------------------------------ gen-rewrites! [32] 100.0% [41] 674(10.7%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [49] 100.0% ------------------------------------------------------------------------ loop [35] 49.0% map [26] 51.0% [42] 408(6.5%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [64] 51.0% ??? [52] 49.0% ------------------------------------------------------------------------ option-on-expr [33] 100.0% [43] 218(3.5%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [51] 100.0% ------------------------------------------------------------------------ option-on-expr [33] 100.0% [44] 196(3.1%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 temp85_0 [66] 100.0% ------------------------------------------------------------------------ make-multiplication-node [36] 100.0% [45] 192(3.0%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:242:0 group-by61 [53] 100.0% ------------------------------------------------------------------------ ??? [38] 100.0% [46] 1204(19.1%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [54] 100.0% ------------------------------------------------------------------------ ??? [39] 100.0% [47] 846(13.4%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 loop [58] 49.6% atab-add-altn [61] 25.8% errors [57] 24.6% ------------------------------------------------------------------------ for-loop [40] 100.0% [48] 762(12.1%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [55] 100.0% ------------------------------------------------------------------------ for-loop [41] 100.0% [49] 674(10.7%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [56] 100.0% ------------------------------------------------------------------------ ??? [39] 100.0% [50] 222(3.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:770:8 bigvalue? [59] 100.0% ------------------------------------------------------------------------ err-lsts->split-indices [43] 100.0% [51] 218(3.5%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [60] 100.0% ------------------------------------------------------------------------ ??? [42] 100.0% [52] 200(3.2%) 0(0.0%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [62] 100.0% ------------------------------------------------------------------------ make-multiplication-subnode [45] 100.0% [53] 192(3.0%) 0(0.0%) group-by61 ...t-7.5/collects/racket/list.rkt:771:0 hash-update [63] 100.0% ------------------------------------------------------------------------ egraph-run [46] 100.0% [54] 1204(19.1%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [65] 100.0% ------------------------------------------------------------------------ taylor-alt [48] 100.0% [55] 762(12.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [64] 100.0% ------------------------------------------------------------------------ rewrite-expression-head24 [49] 37.9% matcher [76] 62.1% [56] 674(10.7%) 184(2.9%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [67] 86.4% ------------------------------------------------------------------------ for-loop [47] 34.7% .../more-scheme.rkt:261:28 [13] 65.3% [57] 600(9.5%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [68] 65.3% temp85_0 [66] 34.7% ------------------------------------------------------------------------ for-loop [47] 100.0% [58] 420(6.6%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [102] 50.5% loop [71] 49.5% ------------------------------------------------------------------------ ??? [50] 100.0% [59] 222(3.5%) 222(3.5%) bigvalue? ...ie/findroot/src/syntax/types.rkt:19:0 ------------------------------------------------------------------------ loop [51] 100.0% [60] 218(3.5%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [69] 100.0% ------------------------------------------------------------------------ for-loop [47] 100.0% [61] 218(3.5%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 append-at-pnts [70] 100.0% ------------------------------------------------------------------------ ??? [52] 100.0% [62] 200(3.2%) 0(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 filter [72] 100.0% ------------------------------------------------------------------------ group-by61 [53] 100.0% [63] 192(3.0%) 192(3.0%) hash-update ...acket/private/more-scheme.rkt:358:4 ------------------------------------------------------------------------ ??? [3] 10.7% .../more-scheme.rkt:261:28 [13] 10.8% ??? [42] 11.7% location-do [75] 16.1% for-loop [55] 16.1% loop [25] 34.5% [64] 1774(28.1%) 584(9.2%) ??? ...tract/private/arrow-higher-order.rkt:375:33 ival-mult [78] 24.1% location-do [75] 16.1% approximate9 [4] 10.7% hash-ref! [77] 10.7% f40 [84] 5.4% ------------------------------------------------------------------------ egraph-add-exprs [54] 100.0% [65] 1204(19.1%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [73] 100.0% ------------------------------------------------------------------------ sort-context-on-expr [44] 25.1% errors [57] 26.7% eval-const-expr [10] 48.2% [66] 780(12.3%) 0(0.0%) temp85_0 (unknown source) compile15 [74] 100.0% ------------------------------------------------------------------------ rewriter [56] 100.0% [67] 674(10.7%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 matcher [76] 87.9% for-loop [79] 12.1% ------------------------------------------------------------------------ errors [57] 100.0% [68] 392(6.2%) 200(3.2%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [13] 49.0% ------------------------------------------------------------------------ for-loop [60] 100.0% [69] 218(3.5%) 218(3.5%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 ------------------------------------------------------------------------ atab-add-altn [61] 100.0% [70] 218(3.5%) 0(0.0%) append-at-pnts ...oot/src/core/alt-table.rkt:137:0 loop [80] 100.0% ------------------------------------------------------------------------ loop [58] 100.0% [71] 208(3.3%) 208(3.3%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ------------------------------------------------------------------------ return/no-unsupplied [62] 100.0% [72] 200(3.2%) 200(3.2%) filter ...5/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------ ??? [65] 100.0% [73] 1204(19.1%) 1204(19.1%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ temp85_0 [66] 100.0% [74] 780(12.3%) 0(0.0%) compile15 (unknown source) temp91_0 [81] 100.0% ------------------------------------------------------------------------ ??? [64] 100.0% [75] 762(12.1%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [64] 100.0% ------------------------------------------------------------------------ for-loop [8] 50.0% for-loop [67] 50.0% [76] 674(10.7%) 246(3.9%) matcher ...bie/findroot/src/core/matcher.rkt:115:2 ??? [2] 50.0% rewriter [56] 43.9% ------------------------------------------------------------------------ for-loop [11] 6.8% ??? [82] 23.3% ??? [83] 23.3% ??? [64] 23.3% loop [9] 23.3% [77] 570(9.0%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [3] 23.3% ??? [83] 23.3% ??? [82] 23.3% f40 [84] 16.5% ??? [6] 6.8% parse-loop74 [5] 6.8% ------------------------------------------------------------------------ ??? [64] 100.0% [78] 428(6.8%) 0(0.0%) ival-mult ...ie/findroot/src/biginterval.rkt:120:0 bfmul [85] 100.0% ------------------------------------------------------------------------ for-loop [67] 100.0% [79] 244(3.9%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [86] 100.0% ------------------------------------------------------------------------ append-at-pnts [70] 100.0% [80] 218(3.5%) 218(3.5%) loop ...erbie/findroot/src/core/alt-table.rkt:92:2 ------------------------------------------------------------------------ compile15 [74] 100.0% [81] 780(12.3%) 0(0.0%) temp91_0 (unknown source) temp118_0 [87] 100.0% ------------------------------------------------------------------------ hash-ref! [77] 100.0% [82] 570(9.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [77] 100.0% ------------------------------------------------------------------------ hash-ref! [77] 100.0% [83] 570(9.0%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [77] 100.0% ------------------------------------------------------------------------ ??? [64] 11.3% hash-ref! [77] 22.1% map [26] 66.7% [84] 568(9.0%) 0(0.0%) f40 (unknown source) map [26] 100.0% ------------------------------------------------------------------------ ival-mult [78] 100.0% [85] 428(6.8%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [88] 100.0% ------------------------------------------------------------------------ for-loop [79] 100.0% [86] 244(3.9%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 for-loop [89] 100.0% ------------------------------------------------------------------------ temp91_0 [81] 100.0% [87] 780(12.3%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [90] 100.0% ------------------------------------------------------------------------ bfmul [85] 100.0% [88] 428(6.8%) 428(6.8%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ fix-up-variables [86] 100.0% [89] 244(3.9%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:41:9 for-loop [91] 100.0% ------------------------------------------------------------------------ loop [102] 19.9% temp118_0 [87] 80.1% [90] 974(15.4%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [93] 58.7% dispatch-transformer41 [92] 21.4% loop [102] 19.9% ------------------------------------------------------------------------ for-loop [89] 100.0% [91] 244(3.9%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 fallback-update [94] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [90] 26.7% for-loop [108] 73.3% [92] 780(12.3%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [95] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [90] 100.0% [93] 572(9.1%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [96] 100.0% ------------------------------------------------------------------------ for-loop [91] 100.0% [94] 244(3.9%) 244(3.9%) fallback-update ...s/racket/private/dict.rkt:115:2 ------------------------------------------------------------------------ dispatch-transformer41 [92] 100.0% [95] 780(12.3%) 0(0.0%) apply-transformer52 (unknown source) loop [102] 73.3% apply-transformer-in-context [97] 26.7% ------------------------------------------------------------------------ for-loop [108] 50.0% lambda-clause-expander [93] 50.0% [96] 572(9.1%) 0(0.0%) finish-bodys (unknown source) for-loop [108] 100.0% ------------------------------------------------------------------------ apply-transformer52 [95] 100.0% [97] 208(3.3%) 0(0.0%) apply-transformer-in-context (unknown source) parse-lambda [98] 100.0% ------------------------------------------------------------------------ apply-transformer-in-context [97]100.0% [98] 208(3.3%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:619:2 stx-pair? [99] 100.0% ------------------------------------------------------------------------ parse-lambda [98] 100.0% [99] 208(3.3%) 0(0.0%) stx-pair? .../collects/racket/private/stx.rkt:40:4 syntax-e [100] 100.0% ------------------------------------------------------------------------ stx-pair? [99] 100.0% [100] 208(3.3%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [101] 100.0% ------------------------------------------------------------------------ syntax-e [100] 100.0% [101] 208(3.3%) 0(0.0%) syntax-e/no-taint (unknown source) loop [102] 100.0% ------------------------------------------------------------------------ loop [58] 0.9% expand-capturing-lifts [90] 8.2% eval-const-expr [10] 8.2% syntax-e/no-taint [101] 8.8% loop [102] 25.7% apply-transformer52 [95] 48.2% [102] 1186(18.8%) 406(6.4%) loop (unknown source) core-form-sym [103] 48.2% loop [102] 25.7% gf [104] 8.8% expand-capturing-lifts [90] 8.2% ------------------------------------------------------------------------ loop [102] 100.0% [103] 572(9.1%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [105] 100.0% ------------------------------------------------------------------------ loop [102] 100.0% [104] 208(3.3%) 0(0.0%) gf (unknown source) propagation-merge [106] 100.0% ------------------------------------------------------------------------ core-form-sym [103] 100.0% [105] 572(9.1%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [107] 100.0% ------------------------------------------------------------------------ gf [104] 100.0% [106] 208(3.3%) 208(3.3%) propagation-merge (unknown source) ------------------------------------------------------------------------ resolve+shift28 [105] 100.0% [107] 572(9.1%) 0(0.0%) fallback-loop (unknown source) for-loop [108] 100.0% ------------------------------------------------------------------------ for-loop [108] 8.6% fallback-loop [107] 30.5% finish-bodys [96] 61.0% [108] 572(9.1%) 572(9.1%) for-loop (unknown source) finish-bodys [96] 30.5% dispatch-transformer41 [92] 30.5% for-loop [108] 8.6% ------------------------------------------------------------------------