Herbie run
| Date: | Wednesday, May 7th, 2025 |
|---|---|
| Commit: | d1b9a729 on mega-taylor-deduplication |
| Seed: | 2025127 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs default |
| Memory: | 128 637.1 MB |
Time bar (total: 2.2min)
| 26.7s | 44 583× | 2 | valid |
| 15.5s | 97 146× | 1 | valid |
| 15.2s | 144 874× | 0 | invalid |
| 12.1s | 6 051× | 5 | exit |
| 6.4s | 85 831× | 0 | valid |
| 2.3s | 3 600× | 3 | valid |
| 360.0ms | 4 152× | 0 | exit |
| 170.0ms | 1 064× | 1 | exit |
| 142.0ms | 170× | 4 | exit |
| 9.0ms | 8× | 4 | valid |
ival-tan: 12.6s (19.4% of total)ival-pow: 12.2s (18.8% of total)adjust: 6.9s (10.7% of total)ival-cos: 4.6s (7% of total)ival-mult!: 4.2s (6.5% of total)ival-log: 3.5s (5.4% of total)ival-div!: 3.2s (4.9% of total)ival-sin: 3.2s (4.9% of total)ival-exp: 2.4s (3.6% of total)ival-sub!: 2.3s (3.5% of total)ival-add!: 1.9s (2.9% of total)ival-expm1: 1.7s (2.6% of total)ival-fabs: 1.4s (2.1% of total)ival-sqrt: 1.2s (1.8% of total)ival-log1p: 1.2s (1.8% of total)ival-<=: 683.0ms (1.1% of total)ival-<: 440.0ms (0.7% of total)ival-cbrt: 366.0ms (0.6% of total)ival-atan: 347.0ms (0.5% of total)ival-and: 337.0ms (0.5% of total)ival-neg: 240.0ms (0.4% of total)ival-assert: 67.0ms (0.1% of total)ival-fmin: 66.0ms (0.1% of total)ival->: 2.0ms (0% of total)exact: 0.0ms (0% of total)| 267× | iter-limit |
| 101× | node-limit |
| 2× | unsound |
| 28× | node-limit |
| 1× | iter-limit |
Compiled 5 559 to 4 023 computations (27.6% saved)
| 22× | fuel |
| 6× | done |
Compiled 2 809 to 1 680 computations (40.2% saved)
Compiled 404 249 to 136 460 computations (66.2% saved)
489 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 102.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) (log (+ 1 x)) (+ 1 x) 1 x 3 (pow (log x) 3) (log x) n (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n))) |
| 89.0ms | x | @ | 0 | ((tan (/ x 2)) (tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6) |
| 78.0ms | x | @ | inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 69.0ms | x | @ | -inf | ((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/27 x (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 -1/9) |
| 67.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) (log (+ 1 x)) (+ 1 x) 1 x 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (- 1 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n)))) (- 1 (exp (* 2 (/ (log x) n)))) (exp (* 2 (/ (log x) n))) (* 2 (/ (log x) n)) 2 (/ (log x) n) (+ 1 (exp (/ (log x) n))) (exp (/ (log x) n))) |
43 calls:
| 556.0ms | x |
| 268.0ms | eps |
| 107.0ms | (/.f64 #s(literal 1 binary64) n) |
| 84.0ms | b_2 |
| 81.0ms | b |
Compiled 1 508 to 1 645 computations (-9.1% saved)
Compiled 48 544 to 40 155 computations (17.3% saved)
| 28× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 61.1% | 38.9% | 0% | 0% | 0% | 0 |
| 7.4% | 4.5% | 56.6% | 38.9% | 0% | 0% | 0% | 1 |
| 22.3% | 13.6% | 47.5% | 38.9% | 0% | 0% | 0% | 2 |
| 40.2% | 23.5% | 34.9% | 38.9% | 0% | 2.7% | 0% | 3 |
| 53.4% | 31.1% | 27.2% | 38.9% | 0% | 2.8% | 0% | 4 |
| 63% | 36.3% | 21.3% | 38.9% | 0% | 3.6% | 0% | 5 |
| 65.9% | 37.5% | 19.4% | 38.9% | 0% | 4.2% | 0% | 6 |
| 70.4% | 38.8% | 16.3% | 38.9% | 0% | 6% | 0% | 7 |
| 73.6% | 40.2% | 14.4% | 38.9% | 0% | 6.5% | 0% | 8 |
| 76.3% | 40.9% | 12.7% | 38.9% | 0% | 7.5% | 0% | 9 |
| 78.4% | 41.4% | 11.4% | 38.9% | 0% | 8.3% | 0% | 10 |
| 81.1% | 42.4% | 9.9% | 38.9% | 0% | 8.8% | 0% | 11 |
| 82.3% | 42.7% | 9.2% | 38.9% | 0% | 9.3% | 0% | 12 |
Compiled 483 to 337 computations (30.2% saved)
| 92× | binary-search |
| 34× | left-value |
| 89× | narrow-enough |
| 3× | predicate-same |
| 365.0ms | 5 022× | 0 | valid |
| 114.0ms | 802× | 1 | valid |
| 79.0ms | 1 240× | 0 | invalid |
| 66.0ms | 334× | 2 | valid |
| 5.0ms | 78× | 0 | exit |
| 3.0ms | 18× | 3 | valid |
Compiled 22 822 to 23 855 computations (-4.5% saved)
ival-mult!: 153.0ms (34.2% of total)ival-pow: 49.0ms (11% of total)ival-sqrt: 46.0ms (10.3% of total)ival-div!: 45.0ms (10.1% of total)ival-sub!: 40.0ms (9% of total)adjust: 34.0ms (7.6% of total)ival-neg: 31.0ms (6.9% of total)ival-cbrt: 14.0ms (3.1% of total)ival-add!: 12.0ms (2.7% of total)ival-cos: 10.0ms (2.2% of total)ival-expm1: 6.0ms (1.3% of total)ival-exp: 5.0ms (1.1% of total)ival-log1p: 1.0ms (0.2% of total)ival-log: 1.0ms (0.2% of total)Loading profile data...