Details

Time bar (total: 3.6s)

sample51.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
17.0ms280×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1259
2289
3299
4299

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (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)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×times-frac
11×add-exp-log add-cbrt-cube
6×div-sub associate-/r* add-log-exp
4×pow1 associate-+r- div-inv 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 → 76
Calls
4 calls:
8.0ms
(/ (acos (/ (- g) h)) 3.0)
11.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
5.0ms
(/ (* 2.0 PI) 3.0)

series147.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
103.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
33.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify109.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318666
11047614
24395614
35002614

prune213.0ms

Filtered
86 candidates to 66 candidates (76.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New83386
Fresh000
Picked101
Done000
Total84387

Merged error: 0.0b

Counts
87 → 3

localize29.0ms

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)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×times-frac
10×add-sqr-sqrt add-cube-cbrt distribute-rgt-out
9×add-exp-log add-cbrt-cube
8×add-log-exp
5×div-inv
4×pow1
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 → 67
Calls
4 calls:
5.0ms
(/ (* 2.0 PI) 3.0)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
12.0ms
(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)))

simplify99.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0234454
1822413
23837405
35002405

prune260.0ms

Filtered
71 candidates to 56 candidates (78.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done000
Total71374

Merged error: 0.0b

Counts
74 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×times-frac
16×add-sqr-sqrt add-cube-cbrt
11×add-exp-log add-cbrt-cube
6×associate-/r* add-log-exp
5×distribute-rgt-out
4×pow1 cos-sum div-inv associate-/l*
3×cbrt-undiv div-exp
2×frac-2neg clear-num
1×+-commutative acos-asin cos-diff sub-neg distribute-lft1-in flip3-+ div-sub frac-add prod-exp associate--l+ sum-log cbrt-unprod flip-+ distribute-lft-out associate--r-
Counts
4 → 79
Calls
4 calls:
25.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
10.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
3.0ms
(/ PI 3.0)
5.0ms
(/ (* 2.0 PI) 3.0)

series106.0ms

Counts
4 → 6
Calls
4 calls:
106.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(/ PI 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)

simplify115.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0322516
11082474
24447470
35001470

prune202.0ms

Filtered
85 candidates to 65 candidates (76.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh101
Picked011
Done011
Total85388

Merged error: 0.0b

Counts
88 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
34×times-frac
24×add-sqr-sqrt add-cube-cbrt
10×distribute-rgt-out
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/r* div-inv associate-/l*
4×pow1
2×cbrt-undiv +-commutative frac-2neg distribute-lft1-in flip3-+ div-exp frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 92
Calls
4 calls:
3.0ms
(/ PI 3.0)
4.0ms
(/ PI 3.0)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))

series0.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0202512
1586486
21915484
35001484

prune388.0ms

Filtered
96 candidates to 76 candidates (79.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh000
Picked011
Done022
Total95499

Merged error: 0.0b

Counts
99 → 4

regimes53.0ms

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

sample1.6s

Algorithm
intervals
Results
770.0ms8000×body80valid
484.0ms7903×body80nan