Profiling results ----------------- Total cpu time observed: 6916ms (out of 7084ms) Number of samples taken: 31 (once every 223ms) =============================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =============================================================================== [1] 6916(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [9] 100.0% ------------------------------------------------------------------------------- ??? [71] 100.0% [2] 1274(18.4%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [10] 100.0% ------------------------------------------------------------------------------- map [28] 15.8% hash-ref! [76] 84.2% [3] 1036(15.0%) 0(0.0%) f40 (unknown source) map [28] 100.0% ------------------------------------------------------------------------------- hash-ref! [76] 100.0% [4] 864(12.5%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:406:23 for-loop [12] 52.8% for-loop [13] 47.2% ------------------------------------------------------------------------------- hash-ref! [76] 100.0% [5] 664(9.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [11] 100.0% ------------------------------------------------------------------------------- hash-ref! [76] 100.0% [6] 446(6.4%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [71] 100.0% ------------------------------------------------------------------------------- hash-ref! [76] 100.0% [7] 206(3.0%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [14] 50.0% rewriter [68] 50.0% ------------------------------------------------------------------------------- loop [95] 100.0% [8] 200(2.9%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [15] 100.0% ------------------------------------------------------------------------------- ??? [1] 100.0% [9] 6916(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% ------------------------------------------------------------------------------- approximate9 [2] 100.0% [10] 1274(18.4%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [71] 65.0% hash-ref! [76] 35.0% ------------------------------------------------------------------------------- ??? [5] 100.0% [11] 664(9.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [76] 100.0% ------------------------------------------------------------------------------- ??? [4] 100.0% [12] 456(6.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:412:39 hash-ref! [76] 100.0% ------------------------------------------------------------------------------- ??? [4] 100.0% [13] 408(5.9%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:410:33 hash-ref! [76] 100.0% ------------------------------------------------------------------------------- matcher [7] 100.0% [14] 206(3.0%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [17] 100.0% ------------------------------------------------------------------------------- expand-id-application-form17 [8] 100.0% [15] 200(2.9%) 0(0.0%) syntax-e/no-taint (unknown source) loop [95] 100.0% ------------------------------------------------------------------------------- profile-thunk16 [9] 100.0% [16] 6916(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% ------------------------------------------------------------------------------- ??? [14] 100.0% [17] 206(3.0%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [76] 100.0% ------------------------------------------------------------------------------- for-loop [80] 7.4% run [16] 92.6% [18] 6916(100.0%) 200(2.9%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [19] 58.4% prepare-points-intervals [20] 17.7% oracle-error [21] 8.8% ??? [100] 4.5% errors [70] 4.5% get-final-combination [22] 3.2% ??? [71] 1.5% ------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [19] 4454(64.4%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [23] 100.0% ------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [20] 1224(17.7%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [24] 82.4% temp85_0 [77] 17.6% ------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [21] 606(8.8%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [25] 100.0% ------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 100.0% [22] 224(3.2%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [26] 100.0% ------------------------------------------------------------------------------- run-improve47 [19] 100.0% [23] 4454(64.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [27] 100.0% ------------------------------------------------------------------------------- prepare-points-intervals [20] 100.0% [24] 1008(14.6%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 ??? [29] 59.7% loop [30] 40.3% ------------------------------------------------------------------------------- oracle-error [21] 100.0% [25] 606(8.8%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [95] 67.0% map [28] 33.0% ------------------------------------------------------------------------------- get-final-combination [22] 100.0% [26] 224(3.2%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [31] 100.0% ------------------------------------------------------------------------------- for-loop [23] 100.0% [27] 4454(64.4%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [32] 37.2% gen-series! [33] 28.6% simplify! [34] 25.1% gen-rewrites! [39] 4.6% localize! [42] 4.5% ------------------------------------------------------------------------------- parse-loop15 [83] 13.9% for-loop [25] 13.9% f40 [3] 72.1% [28] 1436(20.8%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 f61 [35] 32.3% parse-loop74 [36] 28.4% ??? [97] 13.9% f40 [3] 11.4% hash-ref! [76] 7.0% loop [41] 7.0% ------------------------------------------------------------------------------- loop [24] 100.0% [29] 602(8.7%) 400(5.8%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [40] 33.6% ------------------------------------------------------------------------------- loop [24] 100.0% [30] 406(5.9%) 0(0.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [37] 100.0% ------------------------------------------------------------------------------- infer-splitpoints [26] 100.0% [31] 224(3.2%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [38] 100.0% ------------------------------------------------------------------------------- run-iter! [27] 100.0% [32] 1656(23.9%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [43] 100.0% ------------------------------------------------------------------------------- run-iter! [27] 100.0% [33] 1274(18.4%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [44] 100.0% ------------------------------------------------------------------------------- run-iter! [27] 100.0% [34] 1118(16.2%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [45] 100.0% ------------------------------------------------------------------------------- hash-ref! [76] 27.5% map [28] 72.5% [35] 866(12.5%) 0(0.0%) f61 (unknown source) eval-const-expr [46] 72.5% composed [47] 27.5% ------------------------------------------------------------------------------- map [28] 100.0% [36] 408(5.9%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [46] 100.0% ------------------------------------------------------------------------------- loop [30] 100.0% [37] 406(5.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sub [49] 50.7% ival-sqrt [53] 49.3% ------------------------------------------------------------------------------- for-loop [31] 100.0% [38] 224(3.2%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 err-lsts->split-indices [48] 100.0% ------------------------------------------------------------------------------- run-iter! [27] 100.0% [39] 206(3.0%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [50] 100.0% ------------------------------------------------------------------------------- ??? [29] 100.0% [40] 202(2.9%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 for-loop [51] 100.0% ------------------------------------------------------------------------------- map [28] 1.7% loop [41] 98.3% [41] 200(2.9%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [41] 98.3% ??? [52] 1.7% ------------------------------------------------------------------------------- run-iter! [27] 100.0% [42] 200(2.9%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [54] 100.0% ------------------------------------------------------------------------------- finalize-iter! [32] 100.0% [43] 1656(23.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [55] 100.0% ------------------------------------------------------------------------------- gen-series! [33] 100.0% [44] 1274(18.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [56] 100.0% ------------------------------------------------------------------------------- simplify! [34] 100.0% [45] 1118(16.2%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [57] 100.0% ------------------------------------------------------------------------------- parse-loop74 [36] 39.4% f61 [35] 60.6% [46] 1036(15.0%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [77] 79.0% loop [95] 21.0% ------------------------------------------------------------------------------- f61 [35] 100.0% [47] 238(3.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [58] 100.0% ------------------------------------------------------------------------------- option-on-expr [38] 100.0% [48] 224(3.2%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [59] 100.0% ------------------------------------------------------------------------------- ??? [37] 100.0% [49] 206(3.0%) 206(3.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 ------------------------------------------------------------------------------- gen-rewrites! [39] 100.0% [50] 206(3.0%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [60] 100.0% ------------------------------------------------------------------------------- sample-multi-bounded [40] 100.0% [51] 202(2.9%) 202(2.9%) for-loop ...es/herbie/findroot/src/points.rkt:20:4 ------------------------------------------------------------------------------- loop [41] 100.0% [52] 200(2.9%) 200(2.9%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 ------------------------------------------------------------------------------- ??? [37] 100.0% [53] 200(2.9%) 0(0.0%) ival-sqrt ...ie/findroot/src/biginterval.rkt:205:0 bfsqrt [61] 100.0% ------------------------------------------------------------------------------- localize! [42] 100.0% [54] 200(2.9%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [76] 100.0% ------------------------------------------------------------------------------- ??? [43] 100.0% [55] 1656(23.9%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [64] 48.6% loop [65] 26.0% errors [70] 25.5% ------------------------------------------------------------------------------- for-loop [44] 100.0% [56] 1274(18.4%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [62] 100.0% ------------------------------------------------------------------------------- ??? [45] 100.0% [57] 1118(16.2%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [63] 100.0% ------------------------------------------------------------------------------- composed [47] 20.0% append-map [66] 80.0% [58] 238(3.4%) 0(0.0%) free-variables ...e/findroot/src/programs.rkt:56:0 append-map [66] 100.0% ------------------------------------------------------------------------------- err-lsts->split-indices [48] 100.0% [59] 224(3.2%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [67] 100.0% ------------------------------------------------------------------------------- for-loop [50] 100.0% [60] 206(3.0%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [68] 100.0% ------------------------------------------------------------------------------- ival-sqrt [53] 100.0% [61] 200(2.9%) 0(0.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:632:4 ??? [69] 100.0% ------------------------------------------------------------------------------- taylor-alt [56] 100.0% [62] 1274(18.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [71] 100.0% ------------------------------------------------------------------------------- egraph-run [57] 100.0% [63] 1118(16.2%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [72] 100.0% ------------------------------------------------------------------------------- for-loop [55] 100.0% [64] 804(11.6%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [70] 100.0% ------------------------------------------------------------------------------- for-loop [55] 100.0% [65] 430(6.2%) 206(3.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [74] 52.1% ------------------------------------------------------------------------------- free-variables [58] 100.0% [66] 238(3.4%) 238(3.4%) append-map ...t-7.5/collects/racket/list.rkt:586:2 free-variables [58] 80.0% ------------------------------------------------------------------------------- loop [59] 100.0% [67] 224(3.2%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [73] 100.0% ------------------------------------------------------------------------------- rewrite-expression-head24 [60] 33.3% matcher [7] 66.7% [68] 206(3.0%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [75] 100.0% ------------------------------------------------------------------------------- bfsqrt [61] 100.0% [69] 200(2.9%) 200(2.9%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [18] 25.0% for-loop [55] 25.8% atab-add-altn [64] 49.2% [70] 1634(23.6%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [80] 62.8% temp85_0 [77] 24.5% loop [95] 12.7% ------------------------------------------------------------------------------- ??? [6] 10.1% .../more-scheme.rkt:261:28 [18] 13.7% loop [10] 18.7% location-do [78] 28.8% for-loop [62] 28.8% [71] 1476(21.3%) 202(2.9%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [78] 28.8% approximate9 [2] 28.8% hash-ref! [76] 28.8% ------------------------------------------------------------------------------- egraph-add-exprs [63] 100.0% [72] 1118(16.2%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [79] 100.0% ------------------------------------------------------------------------------- for-loop [67] 100.0% [73] 224(3.2%) 224(3.2%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 ------------------------------------------------------------------------------- loop [65] 100.0% [74] 224(3.2%) 224(3.2%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ------------------------------------------------------------------------------- rewriter [68] 100.0% [75] 206(3.0%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [76] 100.0% ------------------------------------------------------------------------------- for-loop [17] 4.9% loop [10] 5.3% map [28] 6.0% localize-error [54] 6.0% for-loop [12] 6.1% for-loop [75] 7.4% for-loop [13] 8.1% for-loop [11] 11.0% ??? [82] 22.7% ??? [71] 22.7% [76] 1680(24.3%) 206(3.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [82] 22.7% f40 [3] 19.8% ??? [4] 14.2% parse-loop15 [83] 11.9% ??? [5] 11.0% matcher [7] 9.8% ??? [6] 5.3% f61 [35] 2.8% ------------------------------------------------------------------------------- prepare-points-intervals [20] 15.1% errors [70] 27.9% eval-const-expr [46] 57.0% [77] 1434(20.7%) 0(0.0%) temp85_0 (unknown source) compile15 [81] 100.0% ------------------------------------------------------------------------------- ??? [71] 45.3% location-do [78] 54.7% [78] 1274(18.4%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [78] 54.7% ??? [71] 45.3% ------------------------------------------------------------------------------- ??? [72] 100.0% [79] 1118(16.2%) 1118(16.2%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------------- errors [70] 100.0% [80] 1026(14.8%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [18] 100.0% ------------------------------------------------------------------------------- temp85_0 [77] 100.0% [81] 1434(20.7%) 0(0.0%) compile15 (unknown source) temp91_0 [84] 100.0% ------------------------------------------------------------------------------- hash-ref! [76] 100.0% [82] 1274(18.4%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [76] 100.0% ------------------------------------------------------------------------------- hash-ref! [76] 100.0% [83] 200(2.9%) 0(0.0%) parse-loop15 (unknown source) map [28] 100.0% ------------------------------------------------------------------------------- compile15 [81] 100.0% [84] 1434(20.7%) 0(0.0%) temp91_0 (unknown source) temp118_0 [85] 57.5% compile-top9 [86] 42.5% ------------------------------------------------------------------------------- temp91_0 [84] 100.0% [85] 824(11.9%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [87] 100.0% ------------------------------------------------------------------------------- temp91_0 [84] 100.0% [86] 610(8.8%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [88] 100.0% ------------------------------------------------------------------------------- loop [95] 34.1% temp118_0 [85] 65.9% [87] 1250(18.1%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [89] 65.9% dispatch-transformer41 [91] 17.4% loop [95] 16.6% ------------------------------------------------------------------------------- compile-top9 [86] 100.0% [88] 610(8.8%) 202(2.9%) compile-forms33 (unknown source) serialize-phase-to-link-module-uses [90] 66.9% ------------------------------------------------------------------------------- expand-capturing-lifts [87] 100.0% [89] 824(11.9%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [92] 100.0% ------------------------------------------------------------------------------- compile-forms33 [88] 100.0% [90] 408(5.9%) 0(0.0%) serialize-phase-to-link-module-uses ...own source) for-loop [94] 100.0% ------------------------------------------------------------------------------- expand-capturing-lifts [87] 100.0% [91] 218(3.2%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [93] 100.0% ------------------------------------------------------------------------------- lambda-clause-expander [89] 25.9% for-loop [94] 74.1% [92] 824(11.9%) 0(0.0%) finish-bodys (unknown source) for-loop [94] 100.0% ------------------------------------------------------------------------------- dispatch-transformer41 [91] 100.0% [93] 218(3.2%) 218(3.2%) apply-transformer52 (unknown source) ------------------------------------------------------------------------------- for-loop [94] 15.3% serialize-phase-to-link-module-uses [90] 33.1% finish-bodys [92] 51.6% [94] 1232(17.8%) 832(12.0%) for-loop (unknown source) finish-bodys [92] 38.8% for-loop [94] 15.3% loop [95] 2.3% expand-identifier [96] 1.2% ------------------------------------------------------------------------------- syntax-e/no-taint [15] 9.7% for-loop [94] 9.7% expand-capturing-lifts [87] 10.1% errors [70] 10.1% eval-const-expr [46] 21.1% for-loop [25] 39.3% [95] 1032(14.9%) 208(3.0%) loop (unknown source) ??? [97] 39.3% expand-capturing-lifts [87] 31.2% expand-id-application-form17 [8] 9.7% gf [98] 9.7% ------------------------------------------------------------------------------- for-loop [94] 100.0% [96] 200(2.9%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [99] 100.0% ------------------------------------------------------------------------------- map [28] 33.0% loop [95] 67.0% [97] 606(8.8%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [100] 100.0% ------------------------------------------------------------------------------- loop [95] 100.0% [98] 200(2.9%) 0(0.0%) gf (unknown source) propagation-apply [101] 100.0% ------------------------------------------------------------------------------- expand-identifier [96] 100.0% [99] 200(2.9%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [102] 100.0% ------------------------------------------------------------------------------- ??? [97] 49.3% .../more-scheme.rkt:261:28 [18] 50.7% [100] 1230(17.8%) 1008(14.6%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [103] 18.0% ------------------------------------------------------------------------------- gf [98] 100.0% [101] 200(2.9%) 200(2.9%) propagation-apply (unknown source) ------------------------------------------------------------------------------- resolve+shift28 [99] 100.0% [102] 200(2.9%) 200(2.9%) fallback-loop (unknown source) ------------------------------------------------------------------------------- ??? [100] 100.0% [103] 222(3.2%) 222(3.2%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 -------------------------------------------------------------------------------