Herbie run
| Date: | Thursday, September 26th, 2024 |
|---|---|
| Commit: | 029b8eff on dump-egraph |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024270 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
Time bar (total: 1.6hr)
| 7.7min | 3 925 689× | 0 | valid |
| 2.3min | 415 616× | 1 | valid |
| 1.1min | 127 729× | 2 | valid |
| 56.9s | 320 703× | 0 | invalid |
| 50.6s | 26 787× | 5 | exit |
| 13.4s | 13 951× | 3 | valid |
| 8.4s | 50 265× | 0 | exit |
| 7.6s | 26 107× | 1 | invalid |
| 2.7s | 19 691× | 1 | exit |
| 468.0ms | 1 317× | 2 | invalid |
| 306.0ms | 506× | 4 | exit |
| 176.0ms | 36× | 4 | valid |
| 113.0ms | 106× | 3 | exit |
| 4.0ms | 6× | 2 | exit |
ival-mult: 2.0min (20.3% of total)ival-div: 56.2s (9.3% of total)ival-add: 48.2s (8% of total)ival-pow: 45.8s (7.6% of total)ival-sub: 42.7s (7.1% of total)const: 37.4s (6.2% of total)adjust: 27.4s (4.5% of total)ival-sin: 27.3s (4.5% of total)ival-cos: 26.4s (4.4% of total)ival-log: 24.2s (4% of total)ival-exp: 21.4s (3.5% of total)ival-tan: 18.0s (3% of total)ival-sqrt: 17.8s (3% of total)ival-<=: 12.7s (2.1% of total)ival-pow2: 11.4s (1.9% of total)ival-sinu: 6.9s (1.1% of total)ival-cosu: 5.8s (1% of total)ival-hypot: 4.9s (0.8% of total)ival-neg: 4.7s (0.8% of total)ival-fabs: 4.4s (0.7% of total)exact: 3.7s (0.6% of total)ival-<: 3.4s (0.6% of total)ival-true: 3.1s (0.5% of total)ival-and: 2.8s (0.5% of total)ival-expm1: 2.8s (0.5% of total)ival-acos: 2.2s (0.4% of total)ival-assert: 2.0s (0.3% of total)ival-asin: 2.0s (0.3% of total)ival-atan2: 1.9s (0.3% of total)ival-log1p: 1.6s (0.3% of total)ival-pi: 1.4s (0.2% of total)ival-sinh: 1.2s (0.2% of total)ival->: 1.0s (0.2% of total)ival-atan: 958.0ms (0.2% of total)ival-floor: 854.0ms (0.1% of total)ival-fmod: 788.0ms (0.1% of total)ival-fmax: 689.0ms (0.1% of total)ival-fmin: 673.0ms (0.1% of total)ival->=: 615.0ms (0.1% of total)ival-if: 601.0ms (0.1% of total)ival-cbrt: 575.0ms (0.1% of total)ival-==: 558.0ms (0.1% of total)ival-e: 344.0ms (0.1% of total)ival-asinh: 314.0ms (0.1% of total)ival-acosh: 235.0ms (0% of total)ival-cosh: 224.0ms (0% of total)ival-log2: 223.0ms (0% of total)ival-tanu: 181.0ms (0% of total)ival-atanh: 147.0ms (0% of total)ival-tanh: 88.0ms (0% of total)ival-or: 41.0ms (0% of total)| 4 428× | egg-herbie |
| 5 793× | iter limit |
| 2 775× | node limit |
| 1 689× | saturated |
| 5× | unsound |
| 3 329× | iter limit |
| 2 211× | node limit |
| 353× | fuel |
| 189× | done |
| 44× | saturated |
| 12× | unsound |
Compiled 344 584 to 177 477 computations (48.5% saved)
Compiled 107 311 640 to 5 325 232 computations (95% saved)
| 3 993× | iter limit |
| 1 885× | node limit |
| 46× | saturated |
| 36× | unsound |
Compiled 2 395 945 to 1 214 042 computations (49.3% saved)
| 2.9min | 397 096× | 0 | valid |
| 58.9s | 57 565× | 1 | valid |
| 31.6s | 21 223× | 2 | valid |
| 6.9s | 13 224× | 0 | invalid |
| 6.6s | 1 278× | 5 | exit |
| 4.3s | 2 220× | 3 | valid |
| 1.2s | 1 309× | 1 | exit |
| 1.0s | 527× | 1 | invalid |
| 906.0ms | 2 417× | 0 | exit |
| 850.0ms | 117× | 4 | exit |
| 552.0ms | 371× | 2 | exit |
| 131.0ms | 27× | 4 | valid |
| 63.0ms | 20× | 3 | exit |
| 34.0ms | 14× | 2 | invalid |
Compiled 590 818 to 59 615 computations (89.9% saved)
ival-mult: 1.0min (29.7% of total)ival-add: 34.7s (16.6% of total)ival-div: 23.5s (11.2% of total)adjust: 11.7s (5.6% of total)ival-sub: 10.0s (4.7% of total)ival-sin: 9.1s (4.3% of total)ival-pow: 8.2s (3.9% of total)ival-cos: 8.1s (3.9% of total)const: 7.6s (3.6% of total)ival-log: 5.4s (2.6% of total)ival-sqrt: 5.3s (2.6% of total)ival-pow2: 3.6s (1.7% of total)ival-exp: 3.1s (1.5% of total)ival-neg: 2.5s (1.2% of total)ival-tan: 2.5s (1.2% of total)ival-log1p: 2.4s (1.1% of total)ival-sinu: 1.3s (0.6% of total)ival-cosu: 1.0s (0.5% of total)ival-hypot: 830.0ms (0.4% of total)exact: 771.0ms (0.4% of total)ival-asin: 588.0ms (0.3% of total)ival-acos: 515.0ms (0.2% of total)ival-atan2: 507.0ms (0.2% of total)ival-true: 456.0ms (0.2% of total)ival-cosh: 339.0ms (0.2% of total)ival-fabs: 321.0ms (0.2% of total)ival-cbrt: 311.0ms (0.1% of total)ival-expm1: 304.0ms (0.1% of total)ival-pi: 284.0ms (0.1% of total)ival-atan: 281.0ms (0.1% of total)ival-log2: 264.0ms (0.1% of total)ival-sinh: 229.0ms (0.1% of total)ival-assert: 225.0ms (0.1% of total)ival-if: 179.0ms (0.1% of total)ival-floor: 172.0ms (0.1% of total)ival-fmod: 167.0ms (0.1% of total)ival-e: 139.0ms (0.1% of total)ival-fmax: 122.0ms (0.1% of total)ival-tanu: 62.0ms (0% of total)ival->=: 58.0ms (0% of total)ival-copysign: 37.0ms (0% of total)ival-tanh: 28.0ms (0% of total)ival->: 14.0ms (0% of total)ival-<: 6.0ms (0% of total)1 226 calls:
| 19.9s | x |
| 13.1s | y |
| 11.2s | z |
| 7.6s | a |
| 6.8s | t |
Compiled 128 182 to 126 146 computations (1.6% saved)
16035 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.5s | x | @ | 0 | ((* (sqrt (* (sqrt x) 2)) (pow x 3/4)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (sqrt x) (* (* (sqrt x) x) (* (sqrt x) 2)) (sqrt (* (* (sqrt x) x) (* (sqrt x) 2))) (* (sqrt x) x) (* (* (sqrt x) 2) (sqrt x)) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (pow x 3/4)) |
| 992.0ms | z | @ | -inf | ((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z)) |
| 549.0ms | x | @ | 0 | ((+ (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x))) 1) -1) (* (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x))) 1) -1) (pow (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x)) 3))) (* (neg (pow (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x)) 3)) (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x))) 1) -1)) (* (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 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31853699/125000000) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000)) 1) (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (pow (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 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(+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x))) 1) -1) (pow (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x)) 3))) (- (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x))) 1) -2) (pow (* (neg (pow (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x)) 3)) (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x))) 1) -1)) 2)) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (pow (* (neg (pow (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x)) 3)) (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x))) 1) -1)) 2) (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x))) 1) -2) (* 3275911/10000000 (fabs x)) (+ (* (fabs x) 3275911/10000000) 1) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (pow (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000)) 1) (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) -2)) |
| 496.0ms | v | @ | 0 | ((- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (/ (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))))) (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (pow (log (* 2 v)) 2) (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2)) |
| 457.0ms | z | @ | 0 | ((* (pow 1/3 1/4) (* (pow 1/3 1/4) (sqrt (+ (* z z) (* y y))))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (pow 1/3 1/4) (* (pow 1/3 1/4) (sqrt (+ (* z z) (* y y)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* 1/3 z) z) (* 1/3 z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* 1/3 (+ (* y y) (* z z))) (+ (* y y) (* z z)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (* (pow 1/3 1/4) (* (pow 1/3 1/4) z)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/4) z) (sqrt (+ (* z z) (* y y))) (sqrt 3)) |
| 543× | egg-herbie |
| 1 082× | iter limit |
| 745× | saturated |
| 345× | node limit |
Compiled 445 798 to 149 607 computations (66.4% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 8869 | 58 |
sqrt.f64 | #f | oflow-rescue | 5260 | 0 |
log.f64 | #f | sensitivity | 3645 | 10 |
cos.f64 | #f | sensitivity | 3311 | 4 |
+.f64 | #f | cancellation | 3190 | 125 |
sin.f64 | #f | sensitivity | 1972 | 2 |
/.f64 | #f | o/n | 1952 | 0 |
/.f64 | #f | o/o | 1797 | 0 |
-.f64 | #f | nan-rescue | 1578 | 0 |
log.f32 | #f | sensitivity | 1155 | 85 |
*.f64 | #f | n*o | 1112 | 0 |
/.f64 | #f | n/o | 1010 | 0 |
/.f64 | #f | u/u | 992 | 0 |
sqrt.f64 | #f | uflow-rescue | 922 | 0 |
+.f64 | #f | nan-rescue | 882 | 0 |
/.f64 | #f | u/n | 694 | 0 |
sqrt.f32 | #f | oflow-rescue | 542 | 0 |
acos.f64 | #f | sensitivity | 522 | 4 |
*.f64 | #f | n*u | 506 | 0 |
tan.f64 | #f | sensitivity | 422 | 0 |
pow.f64 | #f | sensitivity | 410 | 44 |
-.f32 | #f | cancellation | 398 | 28 |
/.f64 | #f | n/u | 337 | 0 |
-.f64 | (-.f64 (*.f64 #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) t) #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) | oflow-left | 219 | 0 |
exp.f64 | #f | sensitivity | 201 | 32 |
cos.f32 | (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) | sensitivity | 193 | 13 |
tan.f32 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | cancellation | 187 | 20 |
cos.f64 | #f | oflow-rescue | 186 | 0 |
pow.f64 | #f | oflow-rescue | 167 | 0 |
*.f64 | #f | u*o | 158 | 0 |
*.f64 | #f | o*u | 143 | 0 |
asin.f64 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | sensitivity | 133 | 0 |
/.f32 | #f | o/n | 118 | 0 |
log.f64 | #f | oflow-rescue | 109 | 0 |
cbrt.f64 | #f | oflow-rescue | 92 | 0 |
log.f64 | #f | uflow-rescue | 75 | 0 |
pow.f64 | #f | uflow-rescue | 73 | 0 |
exp.f32 | #f | sensitivity | 42 | 26 |
cbrt.f64 | #f | uflow-rescue | 41 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 25 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 25 | |
| ↳ | (*.f64 y #s(literal 2 binary64)) | overflow | 2 | |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 25 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 25 | |
| ↳ | (*.f64 y #s(literal 2 binary64)) | overflow | 2 | |
sqrt.f32 | (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))) | uflow-rescue | 21 | 0 |
| ↳ | (*.f32 sinTheta_O sinTheta_O) | underflow | 306 | |
| ↳ | (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))) | underflow | 21 | |
| ↳ | (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))) | underflow | 153 | |
| ↳ | (*.f32 eta eta) | underflow | 21 | |
/.f32 | #f | u/n | 17 | 0 |
/.f32 | #f | o/o | 14 | 0 |
/.f32 | (/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) | n/o | 7 | 0 |
| ↳ | (/.f32 sin2phi (*.f32 alphay alphay)) | overflow | 15 | |
| ↳ | (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))) | overflow | 15 | |
*.f32 | #f | n*o | 4 | 0 |
log.f32 | #f | oflow-rescue | 4 | 0 |
sin.f32 | #f | cancellation | 2 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*u | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 31128 | 924 |
| - | 6010 | 100946 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 31128 | 255 | 669 |
| - | 6010 | 422 | 100524 |
| number | freq |
|---|---|
| 0 | 101870 |
| 1 | 31330 |
| 2 | 4689 |
| 3 | 560 |
| 4 | 306 |
| 5 | 162 |
| 6 | 57 |
| 7 | 28 |
| 8 | 3 |
| 9 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 349 | 3 | 1 |
| - | 10 | 1 | 179 |
| 32.5s | 235 848× | 0 | valid |
| 11.4s | 30 540× | 1 | valid |
| 6.7s | 10 402× | 2 | valid |
| 971.0ms | 1 112× | 3 | valid |
| 13.0ms | 94× | 1 | exit |
| 9.0ms | 18× | 5 | exit |
| 1.0ms | 2× | 4 | valid |
Compiled 94 020 to 19 705 computations (79% saved)
ival-mult: 7.1s (19.9% of total)ival-sin: 5.9s (16.6% of total)ival-div: 3.1s (8.8% of total)ival-add: 3.1s (8.7% of total)ival-sub: 3.0s (8.4% of total)adjust: 2.0s (5.6% of total)ival-log: 1.9s (5.3% of total)ival-cos: 1.5s (4.1% of total)ival-tan: 1.1s (3.1% of total)ival-exp: 1.1s (3% of total)ival-sqrt: 941.0ms (2.7% of total)const: 679.0ms (1.9% of total)ival-pow2: 634.0ms (1.8% of total)ival-pow: 525.0ms (1.5% of total)ival-sinu: 475.0ms (1.3% of total)ival-cosu: 341.0ms (1% of total)ival-hypot: 285.0ms (0.8% of total)ival-neg: 264.0ms (0.7% of total)ival-true: 261.0ms (0.7% of total)exact: 177.0ms (0.5% of total)ival-atan2: 161.0ms (0.5% of total)ival-assert: 147.0ms (0.4% of total)ival-asin: 128.0ms (0.4% of total)ival-atan: 91.0ms (0.3% of total)ival-acos: 84.0ms (0.2% of total)ival-expm1: 84.0ms (0.2% of total)ival-log1p: 82.0ms (0.2% of total)ival-pi: 77.0ms (0.2% of total)ival-sinh: 73.0ms (0.2% of total)ival-floor: 70.0ms (0.2% of total)ival-fabs: 68.0ms (0.2% of total)ival-cbrt: 53.0ms (0.1% of total)ival-fmod: 35.0ms (0.1% of total)ival-fmax: 31.0ms (0.1% of total)ival-if: 23.0ms (0.1% of total)ival-log2: 18.0ms (0.1% of total)ival-e: 15.0ms (0% of total)ival-copysign: 12.0ms (0% of total)ival-tanu: 11.0ms (0% of total)ival-cosh: 11.0ms (0% of total)ival->=: 6.0ms (0% of total)ival-tanh: 6.0ms (0% of total)ival->: 3.0ms (0% of total)ival-<: 1.0ms (0% of total)| 546× | search |
| 2× | random |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 84.5% | 15.5% | 0% | 0% | 0% | 0 |
| 39.7% | 33.6% | 50.9% | 15.5% | 0% | 0% | 0% | 1 |
| 45.8% | 38.3% | 45.4% | 15.5% | 0% | 0.8% | 0% | 2 |
| 54.4% | 44.4% | 37.3% | 15.5% | 0% | 2.8% | 0% | 3 |
| 61.2% | 49.4% | 31.3% | 15.5% | 0% | 3.8% | 0% | 4 |
| 67.5% | 54.2% | 26% | 15.5% | 0% | 4.3% | 0% | 5 |
| 71.4% | 57% | 22.8% | 15.5% | 0% | 4.7% | 0% | 6 |
| 75.4% | 59.8% | 19.5% | 15.5% | 0% | 5.3% | 0% | 7 |
| 77.4% | 61% | 17.8% | 15.5% | 0% | 5.6% | 0% | 8 |
| 80.1% | 62.9% | 15.7% | 15.5% | 0% | 5.9% | 0% | 9 |
| 81.6% | 63.9% | 14.4% | 15.5% | 0% | 6.2% | 0% | 10 |
| 83.9% | 65.5% | 12.6% | 15.5% | 0% | 6.4% | 0% | 11 |
| 85% | 66.1% | 11.7% | 15.5% | 0% | 6.6% | 0% | 12 |
Compiled 12 532 to 7 808 computations (37.7% saved)
| 2 667× | binary-search |
| 2 038× | left-value |
| 2 588× | narrow-enough |
| 74× | predicate-same |
| 5× | predicate-failed |
| 28.4s | 185 521× | 0 | valid |
| 7.6s | 14 776× | 1 | valid |
| 1.2s | 2 236× | 2 | valid |
| 1.2s | 9 657× | 0 | invalid |
| 214.0ms | 219× | 3 | valid |
| 32.0ms | 308× | 0 | exit |
| 10.0ms | 46× | 1 | invalid |
| 0.0ms | 4× | 1 | exit |
| 0.0ms | 1× | 4 | valid |
Compiled 546 992 to 564 487 computations (-3.2% saved)
ival-mult: 8.9s (32.6% of total)ival-sub: 3.6s (13% of total)ival-add: 2.4s (8.7% of total)ival-div: 2.1s (7.7% of total)ival-cos: 2.0s (7.2% of total)ival-sin: 1.8s (6.6% of total)adjust: 1.1s (3.9% of total)ival-log: 891.0ms (3.2% of total)ival-pow2: 603.0ms (2.2% of total)ival-hypot: 562.0ms (2% of total)ival-pow: 505.0ms (1.8% of total)const: 490.0ms (1.8% of total)ival-sqrt: 443.0ms (1.6% of total)ival-exp: 279.0ms (1% of total)ival-cosu: 267.0ms (1% of total)ival-sinu: 260.0ms (0.9% of total)ival-neg: 212.0ms (0.8% of total)ival-atan2: 184.0ms (0.7% of total)ival-tan: 182.0ms (0.7% of total)ival-true: 171.0ms (0.6% of total)exact: 104.0ms (0.4% of total)ival-assert: 90.0ms (0.3% of total)ival-acos: 82.0ms (0.3% of total)ival-tanh: 56.0ms (0.2% of total)ival-fabs: 52.0ms (0.2% of total)ival-atan: 50.0ms (0.2% of total)ival-cbrt: 26.0ms (0.1% of total)ival-pi: 13.0ms (0% of total)ival-cosh: 11.0ms (0% of total)ival-e: 9.0ms (0% of total)ival-asin: 9.0ms (0% of total)ival-log1p: 6.0ms (0% of total)ival-if: 4.0ms (0% of total)ival->=: 3.0ms (0% of total)ival-fmod: 2.0ms (0% of total)ival-expm1: 2.0ms (0% of total)ival-copysign: 1.0ms (0% of total)Loading profile data...