Profiling results ----------------- Total cpu time observed: 7786ms (out of 7948ms) Number of samples taken: 42 (once every 185ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== [1] 7786(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [8] 100.0% --------------------------------------------------------------------- matcher [63] 100.0% [2] 1266(16.3%) 0(0.0%) ??? ...e-to-egg-herbie/src/core/matcher.rkt:130:11 for-loop [9] 92.8% for-loop [13] 7.2% --------------------------------------------------------------------- ??? [54] 100.0% [3] 1000(12.8%) 0(0.0%) approximate9 ...gg-herbie/src/core/taylor.rkt:12:0 loop [10] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [4] 598(7.7%) 0(0.0%) ??? ...ore-to-egg-herbie/src/core/taylor.rkt:68:15 ??? [54] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [5] 414(5.3%) 0(0.0%) ??? ...re-to-egg-herbie/src/core/taylor.rkt:291:26 for-loop [11] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [6] 210(2.7%) 0(0.0%) f41 (unknown source) map [58] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [7] 210(2.7%) 0(0.0%) ??? ...re-to-egg-herbie/src/core/taylor.rkt:301:23 for-loop [12] 100.0% --------------------------------------------------------------------- ??? [1] 100.0% [8] 7786(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% --------------------------------------------------------------------- ??? [2] 100.0% [9] 1266(16.3%) 0(0.0%) for-loop ...egg-herbie/src/core/matcher.rkt:132:15 matcher [63] 100.0% --------------------------------------------------------------------- approximate9 [3] 100.0% [10] 1000(12.8%) 0(0.0%) loop ...ore-to-egg-herbie/src/core/taylor.rkt:87:4 hash-ref! [64] 59.8% ??? [54] 40.2% --------------------------------------------------------------------- ??? [5] 100.0% [11] 414(5.3%) 0(0.0%) for-loop ...-egg-herbie/src/core/taylor.rkt:291:52 hash-ref! [64] 50.7% ??? [15] 49.3% --------------------------------------------------------------------- ??? [7] 100.0% [12] 210(2.7%) 0(0.0%) for-loop ...-egg-herbie/src/core/taylor.rkt:304:27 hash-ref! [64] 100.0% --------------------------------------------------------------------- ??? [2] 100.0% [13] 182(2.3%) 0(0.0%) for-loop ...-egg-herbie/src/core/matcher.rkt:106:4 foldl [16] 100.0% --------------------------------------------------------------------- profile-thunk16 [8] 100.0% [14] 7786(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [17]100.0% --------------------------------------------------------------------- for-loop [11] 100.0% [15] 204(2.6%) 0(0.0%) ??? ...re-to-egg-herbie/src/core/taylor.rkt:294:19 hash-ref! [64] 100.0% --------------------------------------------------------------------- for-loop [13] 100.0% [16] 182(2.3%) 0(0.0%) foldl ....5/collects/racket/private/list.rkt:229:4 ??? [18] 100.0% --------------------------------------------------------------------- for-loop [62] 5.8% run [14] 94.2% [17] 7786(100.0%) 0(0.0%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [19] 68.6% prepare-points-intervals [20] 18.5% errors [55] 4.3% ??? [31] 3.1% oracle-error [21] 2.9% ulp-difference [84] 2.7% --------------------------------------------------------------------- foldl [16] 100.0% [18] 182(2.3%) 0(0.0%) ??? ...ore-to-egg-herbie/src/core/matcher.rkt:26:7 fallback-update [22] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17]100.0% [19] 5686(73.0%) 0(0.0%) run-improve47 ...egg-herbie/src/mainloop.rkt:346:0 for-loop [23] 96.6% simplify! [34] 3.4% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17]100.0% [20] 1440(18.5%) 0(0.0%) prepare-points-intervals ...e/src/points.rkt:110:0 loop [24] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17]100.0% [21] 222(2.9%) 0(0.0%) oracle-error ...to-egg-herbie/src/points.rkt:188:0 for-loop [25] 100.0% --------------------------------------------------------------------- ??? [18] 100.0% [22] 182(2.3%) 0(0.0%) fallback-update ...s/racket/private/dict.rkt:115:2 assoc-ref [26] 100.0% --------------------------------------------------------------------- run-improve47 [19] 100.0% [23] 5494(70.6%) 0(0.0%) for-loop ...e-to-egg-herbie/src/mainloop.rkt:365:4 run-iter! [27] 100.0% --------------------------------------------------------------------- prepare-points-intervals [20] 100.0% [24] 1440(18.5%) 0(0.0%) loop ...ve-more-to-egg-herbie/src/points.rkt:123:4 loop [28] 75.6% ??? [29] 24.4% --------------------------------------------------------------------- oracle-error [21] 100.0% [25] 222(2.9%) 0(0.0%) for-loop ...ore-to-egg-herbie/src/points.rkt:189:2 map [58] 100.0% --------------------------------------------------------------------- fallback-update [22] 100.0% [26] 182(2.3%) 182(2.3%) assoc-ref ...collects/racket/private/dict.rkt:56:0 --------------------------------------------------------------------- for-loop [23] 100.0% [27] 5494(70.6%) 0(0.0%) run-iter! ...-to-egg-herbie/src/mainloop.rkt:327:0 finalize-iter! [30] 40.6% gen-rewrites! [32] 23.0% gen-series! [33] 18.2% simplify! [34] 14.2% localize! [35] 4.0% --------------------------------------------------------------------- loop [24] 100.0% [28] 1088(14.0%) 0(0.0%) loop ...ove-more-to-egg-herbie/src/points.rkt:81:2 ??? [31] 100.0% --------------------------------------------------------------------- loop [24] 100.0% [29] 352(4.5%) 0(0.0%) ??? ...ove-more-to-egg-herbie/src/points.rkt:106:2 ??? [54] 100.0% --------------------------------------------------------------------- run-iter! [27] 100.0% [30] 2228(28.6%) 0(0.0%) finalize-iter! ...gg-herbie/src/mainloop.rkt:278:0 ??? [36] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [17] 30.5% loop [28] 69.5% [31] 1566(20.1%) 320(4.1%) ??? ...e-more-to-egg-herbie/src/programs.rkt:115:2 ??? [54] 30.8% ??? [40] 29.1% ??? [41] 19.7% --------------------------------------------------------------------- run-iter! [27] 100.0% [32] 1266(16.3%) 0(0.0%) gen-rewrites! ...egg-herbie/src/mainloop.rkt:183:0 for-loop [37] 100.0% --------------------------------------------------------------------- run-iter! [27] 100.0% [33] 1000(12.8%) 0(0.0%) gen-series! ...o-egg-herbie/src/mainloop.rkt:160:0 for-loop [38] 100.0% --------------------------------------------------------------------- run-improve47 [19] 19.8% run-iter! [27] 80.2% [34] 972(12.5%) 0(0.0%) simplify! ...-to-egg-herbie/src/mainloop.rkt:224:0 ??? [39] 100.0% --------------------------------------------------------------------- run-iter! [27] 100.0% [35] 220(2.8%) 0(0.0%) localize! ...-to-egg-herbie/src/mainloop.rkt:127:0 localize-error [42] 100.0% --------------------------------------------------------------------- finalize-iter! [30] 100.0% [36] 2228(28.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [43] 100.0% --------------------------------------------------------------------- gen-rewrites! [32] 100.0% [37] 1266(16.3%) 0(0.0%) for-loop ...-to-egg-herbie/src/mainloop.rkt:191:11 rewrite-expression-head20 [44] 100.0% --------------------------------------------------------------------- gen-series! [33] 100.0% [38] 1000(12.8%) 0(0.0%) for-loop ...e-to-egg-herbie/src/mainloop.rkt:167:7 taylor-alt [45] 100.0% --------------------------------------------------------------------- simplify! [34] 100.0% [39] 972(12.5%) 0(0.0%) ??? ...re-to-egg-herbie/src/core/simplify.rkt:44:0 egraph-run [46] 100.0% --------------------------------------------------------------------- ??? [31] 100.0% [40] 456(5.9%) 152(2.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [47] 33.3% ival-div [48] 33.3% --------------------------------------------------------------------- ??? [31] 100.0% [41] 308(4.0%) 308(4.0%) ??? ...-to-egg-herbie/src/syntax/syntax.rkt:214:17 --------------------------------------------------------------------- localize! [35] 100.0% [42] 220(2.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:65:0 hash-ref! [64] 100.0% --------------------------------------------------------------------- ??? [36] 100.0% [43] 2228(28.6%) 0(0.0%) for-loop ...egg-herbie/src/core/alt-table.rkt:55:2 atab-add-altn [50] 49.3% loop [53] 31.5% errors [55] 19.2% --------------------------------------------------------------------- for-loop [37] 100.0% [44] 1266(16.3%) 0(0.0%) rewrite-expression-head20 ...core/matcher.rkt:87:0 rewriter [49] 100.0% --------------------------------------------------------------------- for-loop [38] 100.0% [45] 1000(12.8%) 0(0.0%) taylor-alt ...to-egg-herbie/src/mainloop.rkt:146:0 for-loop [51] 100.0% --------------------------------------------------------------------- ??? [39] 100.0% [46] 972(12.5%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [52] 100.0% --------------------------------------------------------------------- ??? [40] 100.0% [47] 152(2.0%) 0(0.0%) ival-add ...o-egg-herbie/src/biginterval.rkt:101:0 bfdiv [77] 100.0% --------------------------------------------------------------------- ??? [40] 100.0% [48] 152(2.0%) 0(0.0%) ival-div ...o-egg-herbie/src/biginterval.rkt:155:0 bfdiv [77] 100.0% --------------------------------------------------------------------- rewrite-expression-head20 [44] 33.3% matcher [63] 66.7% [49] 1266(16.3%) 182(2.3%) rewriter ...o-egg-herbie/src/core/matcher.rkt:90:2 for-loop [56] 79.8% *rules* [59] 16.6% --------------------------------------------------------------------- for-loop [43] 100.0% [50] 1098(14.1%) 184(2.4%) atab-add-altn ...rbie/src/core/alt-table.rkt:203:0 errors [55] 62.8% override-at-pnts [60] 20.4% --------------------------------------------------------------------- taylor-alt [45] 100.0% [51] 1000(12.8%) 0(0.0%) for-loop ...e-to-egg-herbie/src/mainloop.rkt:152:6 ??? [54] 100.0% --------------------------------------------------------------------- egraph-run [46] 100.0% [52] 972(12.5%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [57] 100.0% --------------------------------------------------------------------- for-loop [43] 100.0% [53] 702(9.0%) 310(4.0%) loop ...to-egg-herbie/src/core/alt-table.rkt:177:2 map [58] 31.1% loop [61] 24.8% --------------------------------------------------------------------- loop [10] 7.3% ??? [4] 10.9% location-do [65] 18.2% for-loop [51] 18.2% ??? [29] 19.2% ??? [31] 26.3% [54] 1834(23.6%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:375:33 sample-multi-bounded [69] 19.2% location-do [65] 18.2% approximate9 [3] 18.2% hash-ref! [64] 18.2% ival-mult [70] 18.0% mk-ival [73] 8.3% --------------------------------------------------------------------- for-loop [43] 27.5% .../more-scheme.rkt:261:28 [17] 28.1% atab-add-altn [50] 44.3% [55] 1556(20.0%) 0(0.0%) errors ...-more-to-egg-herbie/src/points.rkt:201:0 for-loop [62] 86.4% eval-prog [72] 13.6% --------------------------------------------------------------------- rewriter [49] 100.0% [56] 1266(16.3%) 150(1.9%) for-loop ...o-egg-herbie/src/core/matcher.rkt:92:4 matcher [63] 94.1% --------------------------------------------------------------------- egraph-add-exprs [52] 100.0% [57] 972(12.5%) 0(0.0%) ??? ...e-to-egg-herbie/src/core/simplify.rkt:103:6 for-loop [67] 100.0% --------------------------------------------------------------------- f41 [6] 24.1% loop [53] 25.1% parse-loop30 [79] 25.3% for-loop [25] 25.5% [58] 870(11.2%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 loop [68] 50.6% hash-ref! [64] 25.3% parse-loop75 [66] 24.1% --------------------------------------------------------------------- rewriter [49] 100.0% [59] 752(9.7%) 216(2.8%) *rules* ...o-egg-herbie/src/syntax/rules.rkt:666:0 for-loop [99] 71.3% --------------------------------------------------------------------- atab-add-altn [50] 100.0% [60] 224(2.9%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:138:0 for-loop [71] 100.0% --------------------------------------------------------------------- loop [53] 4.3% loop [61] 95.7% [61] 174(2.2%) 174(2.2%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [61] 95.7% --------------------------------------------------------------------- errors [55] 100.0% [62] 1344(17.3%) 448(5.8%) for-loop ...ore-to-egg-herbie/src/points.rkt:203:2 .../more-scheme.rkt:261:28 [17] 66.7% --------------------------------------------------------------------- for-loop [9] 47.6% for-loop [56] 52.4% [63] 1266(16.3%) 0(0.0%) matcher ...o-egg-herbie/src/core/matcher.rkt:118:2 ??? [2] 52.4% rewriter [49] 47.6% --------------------------------------------------------------------- for-loop [11] 2.9% for-loop [12] 2.9% ??? [15] 5.6% localize-error [42] 6.0% ??? [76] 10.8% loop [10] 10.8% map [58] 12.0% ??? [74] 24.5% ??? [54] 24.5% [64] 1220(15.7%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [74] 24.5% parse-loop75 [66] 21.6% parse-loop30 [79] 18.0% ??? [4] 10.8% ??? [76] 10.8% ??? [5] 8.4% ??? [7] 2.9% f41 [6] 2.9% --------------------------------------------------------------------- location-do [65] 20.9% ??? [54] 79.1% [65] 1000(12.8%) 0(0.0%) location-do ...to-egg-herbie/src/programs.rkt:64:0 ??? [54] 79.1% location-do [65] 20.9% --------------------------------------------------------------------- map [58] 21.0% hash-ref! [64] 79.0% [66] 1000(12.8%) 0(0.0%) parse-loop75 (unknown source) eval-const-expr [75] 100.0% --------------------------------------------------------------------- ??? [57] 100.0% [67] 972(12.5%) 972(12.5%) for-loop ...egg-herbie/src/core/simplify.rkt:122:2 --------------------------------------------------------------------- map [58] 100.0% [68] 440(5.7%) 218(2.8%) loop ...-7.5/collects/racket/private/map.rkt:40:19 ??? [78] 50.5% --------------------------------------------------------------------- ??? [54] 100.0% [69] 352(4.5%) 200(2.6%) sample-multi-bounded ...herbie/src/points.rkt:15:0 random-ranges [82] 43.2% --------------------------------------------------------------------- ??? [54] 100.0% [70] 330(4.2%) 152(2.0%) ival-mult ...-egg-herbie/src/biginterval.rkt:119:0 bfdiv [77] 53.9% --------------------------------------------------------------------- override-at-pnts [60] 100.0% [71] 224(2.9%) 224(2.9%) for-loop ...g-herbie/src/core/alt-table.rkt:139:22 --------------------------------------------------------------------- errors [55] 100.0% [72] 212(2.7%) 0(0.0%) eval-prog ...e-to-egg-herbie/src/programs.rkt:83:0 inductor [80] 100.0% --------------------------------------------------------------------- ??? [54] 100.0% [73] 152(2.0%) 0(0.0%) mk-ival ...-to-egg-herbie/src/biginterval.rkt:65:0 bf [81] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [74] 1000(12.8%) 0(0.0%) ??? ...ore-to-egg-herbie/src/core/taylor.rkt:45:15 hash-ref! [64] 100.0% --------------------------------------------------------------------- parse-loop75 [66] 100.0% [75] 1000(12.8%) 0(0.0%) eval-const-expr ...g-herbie/src/programs.rkt:118:0 temp85_0 [83] 84.0% eval-one-top12 [88] 16.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [76] 598(7.7%) 0(0.0%) ??? ...re-to-egg-herbie/src/core/taylor.rkt:344:33 hash-ref! [64] 100.0% --------------------------------------------------------------------- ival-div [48] 31.5% ival-add [47] 31.5% ival-mult [70] 36.9% [77] 482(6.2%) 152(2.0%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [85] 36.9% ??? [90] 31.5% --------------------------------------------------------------------- loop [68] 100.0% [78] 222(2.9%) 0(0.0%) ??? ...ve-more-to-egg-herbie/src/points.rkt:190:26 ulp-difference [84] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [79] 220(2.8%) 0(0.0%) parse-loop30 (unknown source) map [58] 66.7% for-loop [86] 33.3% --------------------------------------------------------------------- eval-prog [72] 100.0% [80] 212(2.7%) 0(0.0%) inductor ...e-to-egg-herbie/src/programs.rkt:104:4 table-ref [87] 100.0% --------------------------------------------------------------------- mk-ival [73] 100.0% [81] 152(2.0%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [85] 100.0% --------------------------------------------------------------------- sample-multi-bounded [69] 100.0% [82] 152(2.0%) 0(0.0%) random-ranges ...o-egg-herbie/src/common.rkt:171:0 build--> [89] 100.0% --------------------------------------------------------------------- eval-const-expr [75] 100.0% [83] 840(10.8%) 0(0.0%) temp85_0 (unknown source) compile15 [91] 100.0% --------------------------------------------------------------------- ??? [78] 34.7% .../more-scheme.rkt:261:28 [17] 65.3% [84] 640(8.2%) 640(8.2%) ulp-difference ...to-egg-herbie/src/float.rkt:20:0 --------------------------------------------------------------------- bf [81] 46.1% bfdiv [77] 53.9% [85] 330(4.2%) 330(4.2%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 --------------------------------------------------------------------- parse-loop30 [79] 100.0% [86] 220(2.8%) 220(2.8%) for-loop ...egg-herbie/src/core/localize.rkt:52:21 --------------------------------------------------------------------- inductor [80] 100.0% [87] 212(2.7%) 212(2.7%) table-ref ...ore-to-egg-herbie/src/common.rkt:33:0 --------------------------------------------------------------------- eval-const-expr [75] 100.0% [88] 160(2.1%) 0(0.0%) eval-one-top12 (unknown source) for-loop [99] 100.0% --------------------------------------------------------------------- random-ranges [82] 100.0% [89] 152(2.0%) 152(2.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 --------------------------------------------------------------------- bfdiv [77] 100.0% [90] 152(2.0%) 152(2.0%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 --------------------------------------------------------------------- temp85_0 [83] 100.0% [91] 840(10.8%) 0(0.0%) compile15 (unknown source) temp91_0 [92] 100.0% --------------------------------------------------------------------- compile15 [91] 100.0% [92] 840(10.8%) 0(0.0%) temp91_0 (unknown source) temp118_0 [93] 75.0% compile-top9 [94] 25.0% --------------------------------------------------------------------- temp91_0 [92] 100.0% [93] 630(8.1%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [95] 100.0% --------------------------------------------------------------------- temp91_0 [92] 100.0% [94] 210(2.7%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [96] 100.0% --------------------------------------------------------------------- temp118_0 [93] 100.0% [95] 630(8.1%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [97] 68.6% loop [108] 31.4% --------------------------------------------------------------------- compile-top9 [94] 100.0% [96] 210(2.7%) 0(0.0%) compile-forms33 (unknown source) for-loop [99] 100.0% --------------------------------------------------------------------- expand-capturing-lifts [95] 100.0% [97] 432(5.5%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [98] 100.0% --------------------------------------------------------------------- for-loop [99] 39.6% lambda-clause-expander [97] 60.4% [98] 432(5.5%) 0(0.0%) finish-bodys (unknown source) for-loop [99] 100.0% --------------------------------------------------------------------- eval-one-top12 [88] 12.0% for-loop [99] 13.6% compile-forms33 [96] 15.7% finish-bodys [98] 18.7% *rules* [59] 40.1% [99] 1338(17.2%) 160(2.1%) for-loop (unknown source) ormap [100] 24.5% compile-module-linklet57 [102] 15.7% do-curry [103] 15.5% for-loop [99] 13.6% finish-bodys [98] 10.2% add-local-binding!39 [104] 5.1% syntax-e [101] 3.4% --------------------------------------------------------------------- for-loop [99] 100.0% [100] 328(4.2%) 0(0.0%) ormap ....5/collects/racket/private/map.rkt:141:13 flag-set? [106] 54.3% ??? [107] 45.7% --------------------------------------------------------------------- for-loop [99] 100.0% [101] 228(2.9%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [105] 100.0% --------------------------------------------------------------------- for-loop [99] 100.0% [102] 210(2.7%) 210(2.7%) compile-module-linklet57 (unknown source) --------------------------------------------------------------------- for-loop [99] 100.0% [103] 208(2.7%) 208(2.7%) do-curry ...-7.5/collects/racket/function.rkt:71:2 --------------------------------------------------------------------- for-loop [99] 100.0% [104] 204(2.6%) 204(2.6%) add-local-binding!39 (unknown source) --------------------------------------------------------------------- syntax-e [101] 100.0% [105] 228(2.9%) 0(0.0%) syntax-e/no-taint (unknown source) loop [108] 100.0% --------------------------------------------------------------------- ormap [100] 100.0% [106] 178(2.3%) 178(2.3%) flag-set? ...ore-to-egg-herbie/src/config.rkt:28:0 --------------------------------------------------------------------- ormap [100] 100.0% [107] 150(1.9%) 150(1.9%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 --------------------------------------------------------------------- expand-capturing-lifts [95] 46.5% syntax-e/no-taint [105] 53.5% [108] 426(5.5%) 198(2.5%) loop (unknown source) gf [109] 53.5% --------------------------------------------------------------------- loop [108] 100.0% [109] 228(2.9%) 0(0.0%) gf (unknown source) propagation-apply [110] 100.0% --------------------------------------------------------------------- gf [109] 100.0% [110] 228(2.9%) 228(2.9%) propagation-apply (unknown source) ---------------------------------------------------------------------