Details

Time bar (total: 3.8s)

sample42.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
12.0ms256×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1259
2299
3329
4339
5339

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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)
12.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
20.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms
(/ (* 2.0 PI) 3.0)

series150.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
36.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
103.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify113.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0332711
11087659
24512654
35001654

prune288.0ms

Filtered
101 candidates to 83 candidates (82.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite54.0ms

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:
3.0ms
(/ (* 2.0 PI) 3.0)
12.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
15.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
21.0ms
(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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0245488
1854447
23943435
35001435

prune414.0ms

Filtered
93 candidates to 80 candidates (86.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
38×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×sqrt-prod
21×cbrt-prod
16×add-exp-log
13×add-cbrt-cube associate-/l*
10×associate-/r*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
2×prod-exp cbrt-unprod
1×cos-sum
Counts
4 → 124
Calls
4 calls:
12.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (cbrt 3.0)))))
5.0ms
(/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0)))
4.0ms
(/ (sqrt (acos (/ (- g) h))) (cbrt 3.0))
3.0ms
(/ (* 2.0 PI) 3.0)

series326.0ms

Counts
4 → 10
Calls
4 calls:
161.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (cbrt 3.0)))))
99.0ms
(/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0)))
66.0ms
(/ (sqrt (acos (/ (- g) h))) (cbrt 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify44.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03661515
112861391
250011369

prune416.0ms

Filtered
134 candidates to 95 candidates (70.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(sin (/ (* 2.0 PI) 3.0))
1.6b
(cos (/ (* 2.0 PI) 3.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac associate-/r*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 64
Calls
4 calls:
3.0ms
(/ (* 2.0 PI) 3.0)
3.0ms
(/ (* 2.0 PI) 3.0)
1.0ms
(sin (/ (* 2.0 PI) 3.0))
2.0ms
(cos (/ (* 2.0 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)
0.0ms
(sin (/ (* 2.0 PI) 3.0))
0.0ms
(cos (/ (* 2.0 PI) 3.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0158426
1579382
22564382
35001382

prune291.0ms

Filtered
68 candidates to 54 candidates (79.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02622
12622

end0.0ms

sample1.1s

Algorithm
intervals
Results
467.0ms8000×body80valid
374.0ms8048×body80nan