Details

Time bar (total: 4.0s)

sample43.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
13.0ms270×body80nan

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1259
2289
3299
4299

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

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)

rewrite79.0ms

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:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
24.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
36.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms
(/ (* 2.0 PI) 3.0)

series126.0ms

Counts
4 → 10
Calls
4 calls:
10.0ms
(/ (acos (/ (- g) h)) 3.0)
28.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
88.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify106.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0318666
11047614
24395614
35002614

prune280.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite92.0ms

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:
10.0ms
(/ (* 2.0 PI) 3.0)
21.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
21.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
37.0ms
(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)))

simplify96.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0234454
1822413
23837405
35002405

prune374.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite77.0ms

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:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
23.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
36.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms
(/ (* 2.0 PI) 3.0)

series127.0ms

Counts
4 → 10
Calls
4 calls:
9.0ms
(/ (acos (/ (- g) h)) 3.0)
28.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
89.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify105.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0316666
11041614
24379614
35002614

prune325.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
15×*-un-lft-identity
9×add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
7×div-inv
6×add-log-exp
5×unpow-prod-down cube-prod
4×pow1
3×cube-div cbrt-div distribute-rgt-out times-frac associate-/r* distribute-lft-out
2×cbrt-undiv associate-+r- flip3-+ div-sub div-exp frac-add flip-+
1×acos-neg +-commutative acos-asin cube-mult frac-2neg pow1/3 unpow3 distribute-frac-neg prod-exp clear-num sum-log rem-cbrt-cube cbrt-unprod associate-/l* sqr-pow
Counts
4 → 72
Calls
4 calls:
22.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
32.0ms
(cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3))
70.0ms
(cos (cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3)))
10.0ms
(/ (* 2.0 PI) 3.0)

series147.0ms

Counts
4 → 10
Calls
4 calls:
28.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
28.0ms
(cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3))
91.0ms
(cos (cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342760
11397727
25002727

prune293.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes333.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02622
12622

end0.0ms

sample1.2s

Algorithm
intervals
Results
479.0ms8000×body80valid
387.0ms8057×body80nan