Details

Time bar (total: 4.3s)

sample41.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms232×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1259
2299
3329
4339
5339

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
11×add-exp-log add-cbrt-cube
7×fma-def
6×div-sub associate-/r* add-log-exp
5×div-inv
4×pow1 expm1-log1p-u associate-+r- log1p-expm1-u associate-/l*
3×cbrt-undiv acos-neg acos-asin distribute-frac-neg div-exp
2×cos-diff frac-2neg clear-num
1×+-commutative cos-sum distribute-rgt-out flip3-+ frac-add prod-exp sum-log cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 91
Calls
4 calls:
3.0ms
(/ (acos (/ (- g) h)) 3.0)
23.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
17.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
4.0ms
(/ (* 2.0 PI) 3.0)

series148.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(/ (acos (/ (- g) h)) 3.0)
100.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
32.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify112.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0332711
11087659
24512654
35001654

prune280.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×times-frac
14×add-sqr-sqrt add-cube-cbrt fma-def
10×distribute-rgt-out
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×div-inv
4×pow1 expm1-log1p-u log1p-expm1-u
3×associate-/r*
2×cbrt-undiv +-commutative distribute-lft1-in flip3-+ div-exp frac-add sum-log flip-+ distribute-lft-out
1×frac-2neg sin-sum prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 89
Calls
4 calls:
4.0ms
(/ (* 2.0 PI) 3.0)
13.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
13.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
25.0ms
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify100.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0245488
1854447
23943435
35001435

prune403.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u add-log-exp
1×cbrt-undiv acos-neg acos-asin cos-sum frac-2neg distribute-frac-neg div-exp clear-num fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

series218.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
207.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0148450
1335407
2754407
31990407
45001407

prune150.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))
1.0b
(pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)
1.0b
(cbrt (pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
9×times-frac
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cube-mult unpow3 div-sub sqr-pow
1×cbrt-undiv acos-neg acos-asin pow-to-exp cos-sum pow-pow frac-2neg pow1/3 distribute-frac-neg div-exp pow-exp clear-num rem-cbrt-cube fma-udef div-inv rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
3.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))
2.0ms
(pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)
2.0ms
(cbrt (pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))

series696.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (acos (/ (- g) h)) 3.0)
206.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))
264.0ms
(pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)
214.0ms
(cbrt (pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))

simplify152.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
02351390
17451299
239441293
350021293

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441
12441

end0.0ms

sample1.3s

Algorithm
intervals
Results
586.0ms8018×body80nan
464.0ms8000×body80valid