Profiling results ----------------- Total cpu time observed: 4826ms (out of 5036ms) Number of samples taken: 23 (once every 210ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== [1] 4826(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [8] 100.0% ---------------------------------------------------------------------- ??? [54] 100.0% [2] 898(18.6%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [9] 77.5% taylor-quotient [13] 22.5% ---------------------------------------------------------------------- hash-ref! [41] 100.0% [3] 424(8.8%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 ??? [17] 53.3% hash-ref! [41] 46.7% ---------------------------------------------------------------------- hash-ref! [41] 100.0% [4] 424(8.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [41] 100.0% [5] 272(5.6%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [10] 100.0% ---------------------------------------------------------------------- matcher [67] 100.0% [6] 202(4.2%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:127:11 for-loop [12] 100.0% ---------------------------------------------------------------------- for-loop [83] 100.0% [7] 198(4.1%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [14] 100.0% ---------------------------------------------------------------------- ??? [1] 100.0% [8] 4826(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [9] 696(14.4%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [41] 100.0% ---------------------------------------------------------------------- hash-ref! [41] 42.6% taylor-invert [5] 57.4% [10] 474(9.8%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [20] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [11] 424(8.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 ??? [17] 53.3% f61 [16] 46.7% ---------------------------------------------------------------------- ??? [6] 100.0% [12] 202(4.2%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:129:15 matcher [67] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [13] 202(4.2%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [18] 100.0% ---------------------------------------------------------------------- syntax-e [7] 100.0% [14] 198(4.1%) 0(0.0%) syntax-e/no-taint (unknown source) loop [90] 100.0% ---------------------------------------------------------------------- profile-thunk16 [8] 100.0% [15] 4826(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 [11] 46.7% hash-ref! [41] 53.3% [16] 424(8.8%) 0(0.0%) f61 (unknown source) eval-const-expr [20] 100.0% ---------------------------------------------------------------------- for-loop [11] 50.0% ??? [3] 50.0% [17] 226(4.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [41] 100.0% ---------------------------------------------------------------------- taylor-quotient [13] 100.0% [18] 202(4.2%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [41] 100.0% ---------------------------------------------------------------------- for-loop [64] 2.1% run [15] 97.9% [19] 4826(100.0%) 204(4.2%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [21] 57.9% prepare-points-intervals [22] 33.7% errors [55] 6.3% ---------------------------------------------------------------------- f61 [16] 47.2% parse-loop74 [10] 52.8% [20] 898(18.6%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [60] 69.7% loop [90] 30.3% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 100.0% [21] 2796(57.9%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [23] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 100.0% [22] 1626(33.7%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [24] 100.0% ---------------------------------------------------------------------- run-improve47 [21] 100.0% [23] 2796(57.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [25] 100.0% ---------------------------------------------------------------------- prepare-points-intervals [22] 100.0% [24] 1626(33.7%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [26] 62.6% ??? [27] 37.4% ---------------------------------------------------------------------- for-loop [23] 100.0% [25] 2796(57.9%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [28] 36.7% gen-series! [29] 32.1% simplify! [31] 16.6% localize! [32] 7.4% gen-rewrites! [33] 7.2% ---------------------------------------------------------------------- loop [24] 100.0% [26] 1018(21.1%) 0(0.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 real->precision [30] 80.6% ??? [34] 19.4% ---------------------------------------------------------------------- loop [24] 100.0% [27] 608(12.6%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 loop [90] 66.8% sample-multi-bounded [91] 33.2% ---------------------------------------------------------------------- run-iter! [25] 100.0% [28] 1026(21.3%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [35] 100.0% ---------------------------------------------------------------------- run-iter! [25] 100.0% [29] 898(18.6%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [36] 100.0% ---------------------------------------------------------------------- loop [26] 100.0% [30] 820(17.0%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [54] 100.0% ---------------------------------------------------------------------- run-iter! [25] 100.0% [31] 464(9.6%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [37] 100.0% ---------------------------------------------------------------------- run-iter! [25] 100.0% [32] 206(4.3%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [38] 100.0% ---------------------------------------------------------------------- run-iter! [25] 100.0% [33] 202(4.2%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [39] 100.0% ---------------------------------------------------------------------- loop [26] 100.0% [34] 198(4.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-div [40] 100.0% ---------------------------------------------------------------------- finalize-iter! [28] 100.0% [35] 1026(21.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [42] 100.0% ---------------------------------------------------------------------- gen-series! [29] 100.0% [36] 898(18.6%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [43] 100.0% ---------------------------------------------------------------------- simplify! [31] 100.0% [37] 464(9.6%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [44] 100.0% ---------------------------------------------------------------------- localize! [32] 100.0% [38] 206(4.3%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [41] 100.0% ---------------------------------------------------------------------- gen-rewrites! [33] 100.0% [39] 202(4.2%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [45] 100.0% ---------------------------------------------------------------------- ??? [34] 100.0% [40] 198(4.1%) 198(4.1%) ival-div ...bie/findroot/src/biginterval.rkt:156:0 ---------------------------------------------------------------------- ??? [3] 4.5% ??? [17] 8.2% ??? [51] 8.6% map [57] 9.3% localize-error [38] 9.3% first-nonzero-exp [18] 18.3% ??? [54] 20.9% loop [9] 20.9% [41] 1104(22.9%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [47] 20.9% parse-loop15 [52] 18.7% parse-loop74 [10] 18.3% taylor-invert [5] 12.3% ??? [3] 8.6% ??? [51] 8.6% ??? [4] 8.6% f61 [16] 4.1% ---------------------------------------------------------------------- ??? [35] 100.0% [42] 1026(21.3%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 loop [48] 58.3% atab-add-altn [50] 41.7% ---------------------------------------------------------------------- for-loop [36] 100.0% [43] 898(18.6%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [46] 100.0% ---------------------------------------------------------------------- ??? [37] 100.0% [44] 464(9.6%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [49] 100.0% ---------------------------------------------------------------------- for-loop [39] 100.0% [45] 202(4.2%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [53] 100.0% ---------------------------------------------------------------------- taylor-alt [43] 100.0% [46] 898(18.6%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [54] 100.0% ---------------------------------------------------------------------- hash-ref! [41] 100.0% [47] 696(14.4%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [54] 100.0% ---------------------------------------------------------------------- for-loop [42] 100.0% [48] 598(12.4%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [58] 66.6% map [57] 33.4% ---------------------------------------------------------------------- egraph-run [44] 100.0% [49] 464(9.6%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [56] 100.0% ---------------------------------------------------------------------- for-loop [42] 100.0% [50] 428(8.9%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [55] 100.0% ---------------------------------------------------------------------- hash-ref! [41] 100.0% [51] 424(8.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:327:33 hash-ref! [41] 100.0% ---------------------------------------------------------------------- hash-ref! [41] 100.0% [52] 206(4.3%) 0(0.0%) parse-loop15 (unknown source) map [57] 100.0% ---------------------------------------------------------------------- matcher [67] 50.0% rewrite-expression-head24 [45] 50.0% [53] 202(4.2%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [59] 100.0% ---------------------------------------------------------------------- ??? [47] 13.5% location-do [61] 19.4% for-loop [46] 19.4% real->precision [30] 47.7% [54] 1718(35.6%) 418(8.7%) ??? ...tract/private/arrow-higher-order.rkt:375:33 bf [65] 23.4% location-do [61] 19.4% approximate9 [2] 19.4% hash-ref! [41] 13.5% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19] 48.6% atab-add-altn [50] 51.4% [55] 832(17.2%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 temp85_0 [60] 51.4% for-loop [64] 48.6% ---------------------------------------------------------------------- egraph-add-exprs [49] 100.0% [56] 464(9.6%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [62] 100.0% ---------------------------------------------------------------------- loop [48] 49.3% parse-loop15 [52] 50.7% [57] 406(8.4%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 loop [63] 74.6% hash-ref! [41] 25.4% ---------------------------------------------------------------------- loop [58] 48.9% loop [48] 51.1% [58] 398(8.2%) 398(8.2%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [58] 48.9% ---------------------------------------------------------------------- rewriter [53] 100.0% [59] 202(4.2%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 matcher [67] 50.0% for-loop [66] 50.0% ---------------------------------------------------------------------- errors [55] 40.6% eval-const-expr [20] 59.4% [60] 1054(21.8%) 0(0.0%) temp85_0 (unknown source) compile15 [68] 100.0% ---------------------------------------------------------------------- location-do [61] 11.2% ??? [54] 88.8% [61] 898(18.6%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [54] 88.8% location-do [61] 11.2% ---------------------------------------------------------------------- ??? [56] 100.0% [62] 464(9.6%) 464(9.6%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ---------------------------------------------------------------------- map [57] 4.2% loop [63] 95.8% [63] 406(8.4%) 200(4.1%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [63] 95.8% step [69] 2.0% ---------------------------------------------------------------------- errors [55] 100.0% [64] 404(8.4%) 200(4.1%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [19] 50.5% ---------------------------------------------------------------------- ??? [54] 100.0% [65] 402(8.3%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 ??? [70] 50.2% new-mpfr [72] 49.8% ---------------------------------------------------------------------- for-loop [59] 100.0% [66] 202(4.2%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [71] 100.0% ---------------------------------------------------------------------- for-loop [12] 50.0% for-loop [59] 50.0% [67] 202(4.2%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:115:2 ??? [6] 50.0% rewriter [53] 50.0% ---------------------------------------------------------------------- temp85_0 [60] 100.0% [68] 1054(21.8%) 0(0.0%) compile15 (unknown source) temp91_0 [73] 80.8% loop [90] 19.2% ---------------------------------------------------------------------- loop [63] 100.0% [69] 206(4.3%) 206(4.3%) step ...ket-7.5/collects/racket/function.rkt:145:9 ---------------------------------------------------------------------- bf [65] 100.0% [70] 202(4.2%) 202(4.2%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ---------------------------------------------------------------------- for-loop [66] 100.0% [71] 202(4.2%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-match [74] 100.0% ---------------------------------------------------------------------- bf [65] 100.0% [72] 200(4.1%) 200(4.1%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ---------------------------------------------------------------------- compile15 [68] 100.0% [73] 852(17.7%) 0(0.0%) temp91_0 (unknown source) temp118_0 [75] 100.0% ---------------------------------------------------------------------- fix-up-variables [71] 100.0% [74] 202(4.2%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 for-loop [76] 100.0% ---------------------------------------------------------------------- temp91_0 [73] 100.0% [75] 852(17.7%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [77] 100.0% ---------------------------------------------------------------------- pattern-match [74] 100.0% [76] 202(4.2%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 core457 [78] 100.0% ---------------------------------------------------------------------- loop [90] 35.7% temp118_0 [75] 64.3% [77] 1326(27.5%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [79] 47.5% dispatch-transformer41 [85] 37.3% loop [90] 15.2% ---------------------------------------------------------------------- for-loop [76] 100.0% [78] 202(4.2%) 0(0.0%) core457 ...acket/contract/private/arr-i.rkt:976:19 or/c [80] 100.0% ---------------------------------------------------------------------- expand-capturing-lifts [77] 100.0% [79] 630(13.1%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [81] 100.0% ---------------------------------------------------------------------- core457 [78] 100.0% [80] 202(4.2%) 0(0.0%) or/c ...lects/racket/contract/private/orc.rkt:16:2 build-compound-type-name [82] 100.0% ---------------------------------------------------------------------- lambda-clause-expander [79] 44.8% for-loop [83] 55.2% [81] 630(13.1%) 0(0.0%) finish-bodys (unknown source) for-loop [83] 100.0% ---------------------------------------------------------------------- or/c [80] 100.0% [82] 202(4.2%) 0(0.0%) build-compound-type-name ...private/guts.rkt:537:0 contract-struct-name [84] 100.0% ---------------------------------------------------------------------- for-loop [83] 35.4% finish-bodys [81] 64.6% [83] 630(13.1%) 0(0.0%) for-loop (unknown source) finish-bodys [81] 35.4% for-loop [83] 35.4% dispatch-transformer41 [85] 22.9% syntax-e [7] 6.3% ---------------------------------------------------------------------- build-compound-type-name [82] 100.0% [84] 202(4.2%) 0(0.0%) contract-struct-name ...ract/private/prop.rkt:98:0 ??? [86] 100.0% ---------------------------------------------------------------------- for-loop [83] 46.7% expand-capturing-lifts [77] 53.3% [85] 926(19.2%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [87] 100.0% ---------------------------------------------------------------------- contract-struct-name [84] 100.0% [86] 202(4.2%) 202(4.2%) ??? ...contract/private/arrow-val-first.rkt:1556:0 ---------------------------------------------------------------------- dispatch-transformer41 [85] 100.0% [87] 926(19.2%) 448(9.3%) apply-transformer52 (unknown source) loop [90] 29.4% apply-transformer-in-context [88] 22.2% ---------------------------------------------------------------------- apply-transformer52 [87] 100.0% [88] 206(4.3%) 0(0.0%) apply-transformer-in-context (unknown source) datum->syntax6 [89] 100.0% ---------------------------------------------------------------------- apply-transformer-in-context [88]100.0% [89] 206(4.3%) 0(0.0%) datum->syntax6 (unknown source) loop [90] 100.0% ---------------------------------------------------------------------- datum->syntax6 [89] 0.4% expand-capturing-lifts [77] 7.9% compile15 [68] 7.9% apply-transformer52 [87] 10.6% eval-const-expr [20] 10.6% syntax-e/no-taint [14] 15.4% loop [90] 15.6% ??? [27] 31.6% [90] 1284(26.6%) 408(8.5%) loop (unknown source) sample-multi-bounded [91] 31.6% expand-capturing-lifts [77] 18.5% loop [90] 15.6% gf [93] 15.4% core-form-sym [92] 10.6% ---------------------------------------------------------------------- ??? [27] 33.2% loop [90] 66.8% [91] 608(12.6%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [94] 100.0% ---------------------------------------------------------------------- loop [90] 100.0% [92] 272(5.6%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [95] 100.0% ---------------------------------------------------------------------- loop [90] 100.0% [93] 198(4.1%) 0(0.0%) gf (unknown source) propagation-apply [96] 100.0% ---------------------------------------------------------------------- sample-multi-bounded [91] 100.0% [94] 608(12.6%) 202(4.2%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [98] 33.6% build--> [99] 33.2% ---------------------------------------------------------------------- core-form-sym [92] 100.0% [95] 272(5.6%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [97] 100.0% ---------------------------------------------------------------------- gf [93] 100.0% [96] 198(4.1%) 198(4.1%) propagation-apply (unknown source) ---------------------------------------------------------------------- resolve+shift28 [95] 100.0% [97] 272(5.6%) 272(5.6%) fallback-loop (unknown source) ---------------------------------------------------------------------- random-ranges [94] 100.0% [98] 204(4.2%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [100] 100.0% ---------------------------------------------------------------------- random-ranges [94] 100.0% [99] 202(4.2%) 0(0.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [100] 100.0% ---------------------------------------------------------------------- build--> [99] 49.8% cons/c [98] 50.2% [100] 406(8.4%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [101] 100.0% ---------------------------------------------------------------------- coerce-contract [100] 100.0% [101] 406(8.4%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [102] 100.0% ---------------------------------------------------------------------- coerce-contract/f [101] 100.0% [102] 406(8.4%) 406(8.4%) coerce-simple-value ...ract/private/guts.rkt:385:0 ----------------------------------------------------------------------