Profiling results ----------------- Total cpu time observed: 20706ms (out of 21324ms) Number of samples taken: 55 (once every 376ms) =========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =========================================================================== run [13] 50.0% [1] 20706(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [6] 50.0% loop [17] 19.8% prepare-points [7] 18.7% run-improve39 [8] 11.5% --------------------------------------------------------------------------- hash-ref! [51] 100.0% [2] 344(1.7%) 0(0.0%) ??? .../herbie/no-costs/src/core/taylor.rkt:295:23 for-loop [11] 100.0% --------------------------------------------------------------------------- hash-ref! [51] 100.0% [3] 344(1.7%) 0(0.0%) ??? .../herbie/no-costs/src/core/taylor.rkt:285:26 for-loop [10] 100.0% --------------------------------------------------------------------------- ??? [44] 100.0% [4] 344(1.7%) 0(0.0%) approximate9 .../no-costs/src/core/taylor.rkt:12:0 loop [9] 100.0% --------------------------------------------------------------------------- loop [106] 100.0% [5] 322(1.6%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [12] 100.0% --------------------------------------------------------------------------- ??? [1] 100.0% [6] 20706(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% --------------------------------------------------------------------------- ??? [1] 100.0% [7] 7730(37.3%) 0(0.0%) prepare-points ...ie/no-costs/src/points.rkt:156:0 loop [27] 43.1% loop [20] 30.2% make-exacts* [28] 22.8% for-loop [23] 3.9% --------------------------------------------------------------------------- ??? [1] 100.0% [8] 4772(23.0%) 0(0.0%) run-improve39 ...e/no-costs/src/mainloop.rkt:284:0 for-loop [14] 86.4% setup-prog!32 [16] 7.0% ??? [29] 6.7% --------------------------------------------------------------------------- approximate9 [4] 100.0% [9] 344(1.7%) 0(0.0%) loop ...s/herbie/no-costs/src/core/taylor.rkt:86:4 ??? [44] 100.0% --------------------------------------------------------------------------- ??? [3] 100.0% [10] 344(1.7%) 0(0.0%) for-loop ...ie/no-costs/src/core/taylor.rkt:285:52 hash-ref! [51] 100.0% --------------------------------------------------------------------------- ??? [2] 100.0% [11] 344(1.7%) 0(0.0%) for-loop ...ie/no-costs/src/core/taylor.rkt:298:27 simplify [15] 100.0% --------------------------------------------------------------------------- expand-id-application-form17 [5] 100.0% [12] 322(1.6%) 0(0.0%) syntax-e/no-taint (unknown source) loop [106] 100.0% --------------------------------------------------------------------------- profile-thunk16 [6] 100.0% [13] 20706(100.0%) 0(0.0%) run ...racket/share/pkgs/profile-lib/main.rkt:39:2 ??? [1] 100.0% --------------------------------------------------------------------------- run-improve39 [8] 100.0% [14] 4122(19.9%) 0(0.0%) for-loop ...herbie/no-costs/src/mainloop.rkt:301:8 run-iter! [18] 100.0% --------------------------------------------------------------------------- for-loop [11] 100.0% [15] 344(1.7%) 0(0.0%) simplify ...rbie/no-costs/src/core/reduce.rkt:16:0 f67 [19] 100.0% --------------------------------------------------------------------------- run-improve39 [8] 100.0% [16] 332(1.6%) 0(0.0%) setup-prog!32 ...ie/no-costs/src/mainloop.rkt:63:0 loop [17] 100.0% --------------------------------------------------------------------------- setup-prog!32 [16] 3.9% ??? [1] 96.1% [17] 8536(41.2%) 304(1.5%) loop ...tlies/herbie/no-costs/src/points.rkt:180:2 loop [27] 35.8% ??? [30] 21.3% loop [20] 18.4% make-exacts* [28] 16.9% for-loop [23] 4.1% --------------------------------------------------------------------------- for-loop [14] 100.0% [18] 4122(19.9%) 0(0.0%) run-iter! ...erbie/no-costs/src/mainloop.rkt:265:0 finalize-iter! [21] 52.7% simplify! [22] 23.6% gen-series! [24] 8.3% localize-error [25] 8.1% gen-rewrites! [26] 7.2% --------------------------------------------------------------------------- simplify [15] 100.0% [19] 344(1.7%) 0(0.0%) f67 ...t/collects/racket/match/compiler.rkt:507:40 temp68_2 [67] 100.0% --------------------------------------------------------------------------- loop [17] 40.3% prepare-points [7] 59.7% [20] 3904(18.9%) 0(0.0%) loop ...tlies/herbie/no-costs/src/points.rkt:124:2 make-exacts* [28] 64.8% loop [27] 35.2% --------------------------------------------------------------------------- run-iter! [18] 100.0% [21] 2174(10.5%) 0(0.0%) finalize-iter! .../no-costs/src/mainloop.rkt:219:0 ??? [29] 100.0% --------------------------------------------------------------------------- run-iter! [18] 100.0% [22] 974(4.7%) 0(0.0%) simplify! ...erbie/no-costs/src/mainloop.rkt:179:0 for-loop [31] 100.0% --------------------------------------------------------------------------- prepare-points [7] 46.6% loop [17] 53.4% [23] 648(3.1%) 0(0.0%) for-loop .../herbie/no-costs/src/points.rkt:195:19 ??? [30] 100.0% --------------------------------------------------------------------------- run-iter! [18] 100.0% [24] 344(1.7%) 0(0.0%) gen-series! ...bie/no-costs/src/mainloop.rkt:149:0 for-loop [32] 100.0% --------------------------------------------------------------------------- run-iter! [18] 100.0% [25] 334(1.6%) 0(0.0%) localize-error ...costs/src/core/localize.rkt:47:0 hash-ref! [51] 100.0% --------------------------------------------------------------------------- run-iter! [18] 100.0% [26] 296(1.4%) 0(0.0%) gen-rewrites! ...e/no-costs/src/mainloop.rkt:162:0 for-loop [33] 100.0% --------------------------------------------------------------------------- loop [20] 17.7% loop [17] 39.4% prepare-points [7] 42.9% [27] 7762(37.5%) 0(0.0%) loop ...tlies/herbie/no-costs/src/points.rkt:107:4 loop [34] 95.7% ??? [44] 4.3% --------------------------------------------------------------------------- loop [17] 25.2% prepare-points [7] 30.7% loop [20] 44.1% [28] 5738(27.7%) 0(0.0%) make-exacts* ...rbie/no-costs/src/points.rkt:104:0 loop [34] 100.0% --------------------------------------------------------------------------- run-improve39 [8] 12.8% finalize-iter! [21] 87.2% [29] 2492(12.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [35] 100.0% --------------------------------------------------------------------------- for-loop [23] 26.3% loop [17] 73.7% [30] 2462(11.9%) 0(0.0%) ??? ...htlies/herbie/no-costs/src/points.rkt:172:7 for-loop [36] 100.0% --------------------------------------------------------------------------- simplify! [22] 100.0% [31] 974(4.7%) 0(0.0%) for-loop ...herbie/no-costs/src/mainloop.rkt:183:6 for-loop [37] 64.7% debug-print [38] 35.3% --------------------------------------------------------------------------- gen-series! [24] 100.0% [32] 344(1.7%) 0(0.0%) for-loop ...herbie/no-costs/src/mainloop.rkt:155:7 taylor-alt [39] 100.0% --------------------------------------------------------------------------- gen-rewrites! [26] 100.0% [33] 296(1.4%) 0(0.0%) for-loop ...erbie/no-costs/src/mainloop.rkt:167:11 ??? [40] 100.0% --------------------------------------------------------------------------- loop [27] 0.5% make-exacts* [28] 0.6% loop [34] 98.9% [34] 13168(63.6%) 324(1.6%) loop ...cket/collects/racket/private/map.rkt:40:19 loop [34] 98.9% ??? [65] 0.8% ??? [44] 0.2% --------------------------------------------------------------------------- ??? [29] 100.0% [35] 2492(12.0%) 0(0.0%) for-loop ...e/no-costs/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% --------------------------------------------------------------------------- ??? [30] 100.0% [36] 2462(11.9%) 0(0.0%) for-loop ...s/herbie/no-costs/src/points.rkt:173:9 ??? [44] 100.0% --------------------------------------------------------------------------- for-loop [31] 100.0% [37] 630(3.0%) 0(0.0%) for-loop ...herbie/no-costs/src/mainloop.rkt:207:8 ??? [44] 100.0% --------------------------------------------------------------------------- for-loop [31] 100.0% [38] 344(1.7%) 344(1.7%) debug-print ...herbie/no-costs/src/debug.rkt:107:0 --------------------------------------------------------------------------- for-loop [32] 100.0% [39] 344(1.7%) 0(0.0%) taylor-alt ...rbie/no-costs/src/mainloop.rkt:134:0 for-loop [42] 100.0% --------------------------------------------------------------------------- for-loop [33] 100.0% [40] 296(1.4%) 0(0.0%) ??? ...es/herbie/no-costs/src/alternative.rkt:57:0 rewriter [43] 100.0% --------------------------------------------------------------------------- for-loop [35] 100.0% [41] 2492(12.0%) 0(0.0%) atab-add-altn ...osts/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% --------------------------------------------------------------------------- taylor-alt [39] 100.0% [42] 344(1.7%) 0(0.0%) for-loop ...herbie/no-costs/src/mainloop.rkt:140:6 ??? [44] 100.0% --------------------------------------------------------------------------- matcher [54] 50.0% ??? [40] 50.0% [43] 296(1.4%) 0(0.0%) rewriter ...ie/no-costs/src/core/matcher.rkt:131:2 for-loop [46] 100.0% --------------------------------------------------------------------------- loop [9] 2.3% for-loop [42] 2.3% for-loop [37] 6.3% loop [27] 6.6% location-do [50] 8.5% loop [34] 25.1% for-loop [36] 48.9% [44] 5030(24.3%) 344(1.7%) ??? ...tract/private/arrow-higher-order.rkt:357:33 sample-multi-bounded [48] 42.1% ->flonum [49] 31.7% location-do [50] 8.5% ??? [52] 6.3% approximate9 [4] 2.3% hash-ref! [51] 2.3% --------------------------------------------------------------------------- atab-add-altn [41] 100.0% [45] 2492(12.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [47] 100.0% --------------------------------------------------------------------------- rewriter [43] 100.0% [46] 296(1.4%) 0(0.0%) for-loop ...e/no-costs/src/core/matcher.rkt:134:10 matcher [54] 50.0% type-of [53] 50.0% --------------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [47] 2492(12.0%) 0(0.0%) errors ...ies/herbie/no-costs/src/points.rkt:203:0 eval-prog [56] 51.6% for-loop [57] 48.4% --------------------------------------------------------------------------- ??? [44] 100.0% [48] 2118(10.2%) 302(1.5%) sample-multi-bounded ...-costs/src/points.rkt:43:0 loop [55] 69.4% for-loop [60] 16.3% --------------------------------------------------------------------------- ??? [44] 100.0% [49] 1594(7.7%) 632(3.1%) ->flonum .../herbie/no-costs/src/programs.rkt:36:0 ??? [58] 60.4% --------------------------------------------------------------------------- location-do [50] 50.0% ??? [44] 50.0% [50] 974(4.7%) 0(0.0%) location-do ...rbie/no-costs/src/programs.rkt:90:0 location-do [50] 50.0% ??? [44] 50.0% --------------------------------------------------------------------------- for-loop [10] 16.9% ??? [61] 16.9% ??? [44] 16.9% localize-error [25] 49.3% [51] 678(3.3%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop14 [62] 49.3% ??? [61] 16.9% ??? [3] 16.9% ??? [2] 16.9% --------------------------------------------------------------------------- ??? [44] 100.0% [52] 630(3.0%) 0(0.0%) ??? .../herbie/no-costs/src/core/simplify.rkt:31:0 iterate-egraph!7 [59] 100.0% --------------------------------------------------------------------------- for-loop [46] 100.0% [53] 296(1.4%) 0(0.0%) type-of ...herbie/no-costs/src/type-check.rkt:34:0 ??? [63] 100.0% --------------------------------------------------------------------------- for-loop [64] 50.0% for-loop [46] 50.0% [54] 296(1.4%) 0(0.0%) matcher ...bie/no-costs/src/core/matcher.rkt:168:2 for-loop [64] 50.0% rewriter [43] 50.0% --------------------------------------------------------------------------- sample-multi-bounded [48] 100.0% [55] 1470(7.1%) 0(0.0%) loop ...htlies/herbie/no-costs/src/points.rkt:65:6 random-exp [66] 100.0% --------------------------------------------------------------------------- errors [47] 100.0% [56] 1286(6.2%) 0(0.0%) eval-prog ...erbie/no-costs/src/programs.rkt:109:0 temp68_2 [67] 76.7% eval [70] 23.3% --------------------------------------------------------------------------- errors [47] 100.0% [57] 1206(5.8%) 298(1.4%) for-loop ...s/herbie/no-costs/src/points.rkt:206:4 ??? [65] 75.3% --------------------------------------------------------------------------- ->flonum [49] 100.0% [58] 962(4.6%) 962(4.6%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 --------------------------------------------------------------------------- ??? [52] 100.0% [59] 630(3.0%) 0(0.0%) iterate-egraph!7 ...sts/src/core/simplify.rkt:55:0 one-iter [68] 100.0% --------------------------------------------------------------------------- sample-multi-bounded [48] 100.0% [60] 346(1.7%) 346(1.7%) for-loop ...es/herbie/no-costs/src/points.rkt:46:4 --------------------------------------------------------------------------- hash-ref! [51] 100.0% [61] 344(1.7%) 0(0.0%) ??? ...s/herbie/no-costs/src/core/taylor.rkt:44:15 hash-ref! [51] 100.0% --------------------------------------------------------------------------- hash-ref! [51] 100.0% [62] 334(1.6%) 0(0.0%) parse-loop14 ...s/racket/match/compiler.rkt:418:15 loop [69] 100.0% --------------------------------------------------------------------------- type-of [53] 100.0% [63] 296(1.4%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:227:4 contract-pos/neg-doubling/proc [71]100.0% --------------------------------------------------------------------------- matcher [54] 100.0% [64] 296(1.4%) 0(0.0%) for-loop ...e/no-costs/src/core/matcher.rkt:184:21 matcher [54] 100.0% --------------------------------------------------------------------------- for-loop [57] 7.3% loop [34] 92.7% [65] 12490(60.3%) 1240(6.0%) ??? ...lies/herbie/no-costs/src/programs.rkt:129:2 bf [72] 47.1% ??? [73] 43.0% --------------------------------------------------------------------------- loop [55] 100.0% [66] 1470(7.1%) 1470(7.1%) random-exp ...herbie/no-costs/src/common.rkt:243:0 --------------------------------------------------------------------------- f67 [19] 25.9% eval-prog [56] 74.1% [67] 1330(6.4%) 0(0.0%) temp68_2 (unknown source) compile16 [74] 100.0% --------------------------------------------------------------------------- iterate-egraph!7 [59] 100.0% [68] 630(3.0%) 0(0.0%) one-iter ...ie/no-costs/src/core/simplify.rkt:66:0 for-loop [76] 50.8% for-loop [77] 49.2% --------------------------------------------------------------------------- parse-loop14 [62] 1.7% loop [69] 98.3% [69] 334(1.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:54:19 loop [69] 98.3% ulp-difference [75] 1.7% --------------------------------------------------------------------------- eval-prog [56] 100.0% [70] 300(1.4%) 0(0.0%) eval (unknown source) namespace-syntax-introduce3 [78] 100.0% --------------------------------------------------------------------------- ??? [63] 100.0% [71] 296(1.4%) 296(1.4%) contract-pos/neg-doubling/proc ...e/guts.rkt:956:0 --------------------------------------------------------------------------- ??? [65] 100.0% [72] 5882(28.4%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [94] 73.7% ??? [95] 26.3% --------------------------------------------------------------------------- ??? [65] 100.0% [73] 5368(25.9%) 1392(6.7%) ??? ...acket/collects/racket/private/kw.rkt:592:14 bf* [79] 61.0% ??? [85] 7.4% ??? [83] 5.6% --------------------------------------------------------------------------- temp68_2 [67] 100.0% [74] 1330(6.4%) 0(0.0%) compile16 (unknown source) temp74_0 [80] 100.0% --------------------------------------------------------------------------- loop [69] 100.0% [75] 334(1.6%) 0(0.0%) ulp-difference ...rbie/no-costs/src/float.rkt:19:0 return/no-unsupplied [87] 100.0% --------------------------------------------------------------------------- one-iter [68] 100.0% [76] 320(1.5%) 0(0.0%) for-loop ...e/no-costs/src/core/simplify.rkt:113:2 for-loop [81] 100.0% --------------------------------------------------------------------------- for-loop [77] 50.0% one-iter [68] 50.0% [77] 310(1.5%) 0(0.0%) for-loop ...e/no-costs/src/core/simplify.rkt:76:12 for-loop [77] 50.0% match-e [82] 50.0% --------------------------------------------------------------------------- eval [70] 100.0% [78] 300(1.4%) 0(0.0%) namespace-syntax-introduce3 (unknown source) add-ns-scopes [84] 100.0% --------------------------------------------------------------------------- ??? [73] 100.0% [79] 3276(15.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [85] 100.0% --------------------------------------------------------------------------- compile16 [74] 100.0% [80] 1330(6.4%) 0(0.0%) temp74_0 (unknown source) expand-single [86] 100.0% --------------------------------------------------------------------------- for-loop [76] 100.0% [81] 320(1.5%) 0(0.0%) for-loop ...ie/no-costs/src/core/simplify.rkt:98:4 merge-egraph-nodes! [88] 100.0% --------------------------------------------------------------------------- for-loop [77] 100.0% [82] 310(1.5%) 0(0.0%) match-e ...erbie/no-costs/src/core/ematch.rkt:46:0 for-loop [89] 100.0% --------------------------------------------------------------------------- ??? [73] 100.0% [83] 302(1.5%) 0(0.0%) ??? ...erbie/no-costs/src/syntax/syntax.rkt:193:17 return/no-unsupplied [87] 100.0% --------------------------------------------------------------------------- namespace-syntax-introduce3 [78] 100.0% [84] 300(1.4%) 0(0.0%) add-ns-scopes (unknown source) gf [104] 100.0% --------------------------------------------------------------------------- ??? [73] 10.8% bf* [79] 89.2% [85] 3674(17.7%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [90] 100.0% --------------------------------------------------------------------------- temp74_0 [80] 100.0% [86] 1330(6.4%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [91] 100.0% --------------------------------------------------------------------------- ??? [83] 47.5% ulp-difference [75] 52.5% [87] 636(3.1%) 302(1.5%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [92] 52.5% --------------------------------------------------------------------------- for-loop [81] 100.0% [88] 320(1.5%) 0(0.0%) merge-egraph-nodes! ...s/src/core/egraph.rkt:153:0 enode-merge! [93] 100.0% --------------------------------------------------------------------------- match-e [82] 100.0% [89] 310(1.5%) 310(1.5%) for-loop ...bie/no-costs/src/core/ematch.rkt:59:11 --------------------------------------------------------------------------- ??? [85] 100.0% [90] 3674(17.7%) 794(3.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 ??? [95] 58.3% new-mpfr [94] 20.1% --------------------------------------------------------------------------- expand-single [86] 100.0% [91] 1330(6.4%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [97] 74.1% dispatch-transformer41 [96] 25.9% --------------------------------------------------------------------------- return/no-unsupplied [87] 100.0% [92] 334(1.6%) 334(1.6%) filter ...t/collects/racket/private/list.rkt:256:2 --------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [93] 320(1.5%) 0(0.0%) enode-merge! .../no-costs/src/core/enode.rkt:127:0 custom-set-intersect! [98] 100.0% --------------------------------------------------------------------------- bfmul [90] 14.5% bf [72] 85.5% [94] 5074(24.5%) 5074(24.5%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 --------------------------------------------------------------------------- bf [72] 41.9% bfmul [90] 58.1% [95] 3688(17.8%) 3688(17.8%) ??? /home/p92/racket/collects/ffi/unsafe.rkt:898:4 --------------------------------------------------------------------------- for-loop [102] 31.5% expand-capturing-lifts [91] 34.1% loop [106] 34.3% [96] 1008(4.9%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [99] 100.0% --------------------------------------------------------------------------- expand-capturing-lifts [91] 100.0% [97] 986(4.8%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [100] 64.9% loop [106] 35.1% --------------------------------------------------------------------------- enode-merge! [93] 100.0% [98] 320(1.5%) 320(1.5%) custom-set-intersect! ...ivate/set-types.rkt:269:0 --------------------------------------------------------------------------- dispatch-transformer41 [96] 100.0% [99] 1008(4.9%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [101] 65.9% apply-post-expansion [103] 34.1% --------------------------------------------------------------------------- lambda-clause-expander [97] 17.5% for-loop [102] 82.5% [100] 640(3.1%) 0(0.0%) finish-bodys (unknown source) for-loop [102] 100.0% --------------------------------------------------------------------------- apply-transformer52 [99] 100.0% [101] 664(3.2%) 318(1.5%) apply-transformer-in-context (unknown source) ??? [105] 52.1% --------------------------------------------------------------------------- for-loop [102] 9.9% finish-bodys [100] 90.1% [102] 640(3.1%) 0(0.0%) for-loop (unknown source) finish-bodys [100] 75.1% for-loop [102] 9.9% dispatch-transformer41 [96] 9.9% loop [106] 5.0% --------------------------------------------------------------------------- apply-transformer52 [99] 100.0% [103] 344(1.7%) 0(0.0%) apply-post-expansion (unknown source) gf [104] 100.0% --------------------------------------------------------------------------- add-ns-scopes [84] 31.1% loop [106] 33.3% apply-post-expansion [103] 35.6% [104] 966(4.7%) 300(1.4%) gf (unknown source) loop [106] 35.6% propagation-apply-shifted [108] 33.3% --------------------------------------------------------------------------- apply-transformer-in-context [101] 100.0% [105] 346(1.7%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [107] 100.0% --------------------------------------------------------------------------- syntax-e/no-taint [12] 15.9% for-loop [102] 15.9% gf [104] 34.0% lambda-clause-expander [97] 34.2% [106] 1012(4.9%) 344(1.7%) loop (unknown source) dispatch-transformer41 [96] 34.2% expand-id-application-form17 [5] 15.9% gf [104] 15.9% --------------------------------------------------------------------------- ??? [105] 100.0% [107] 346(1.7%) 346(1.7%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 --------------------------------------------------------------------------- gf [104] 100.0% [108] 322(1.6%) 322(1.6%) propagation-apply-shifted (unknown source) ---------------------------------------------------------------------------