Details

Time bar (total: 3.7s)

sample44.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms263×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1259
2299
3329
4339
5339

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

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)

rewrite75.0ms

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:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
20.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
36.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
9.0ms
(/ (* 2.0 PI) 3.0)

series147.0ms

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

simplify111.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0332711
11087659
24512654
35001654

prune265.0ms

Pruning

3 alts after pruning (3 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)))

rewrite87.0ms

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:
11.0ms
(/ (* 2.0 PI) 3.0)
20.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
19.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
34.0ms
(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

prune391.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod sqrt-prod
11×add-exp-log
10×add-cbrt-cube
9×associate-/r*
7×fma-def associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv div-exp frac-add div-inv
2×frac-2neg clear-num
1×+-commutative frac-times cos-sum flip3-+ associate-*r/ associate-*l/ prod-exp sum-log cbrt-unprod flip-+
Counts
4 → 118
Calls
4 calls:
7.0ms
(/ (sqrt (acos (/ (- g) h))) (cbrt 3.0))
15.0ms
(+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (cbrt 3.0))))
26.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (cbrt 3.0)))))
9.0ms
(/ (* 2.0 PI) 3.0)

series311.0ms

Counts
4 → 10
Calls
4 calls:
62.0ms
(/ (sqrt (acos (/ (- g) h))) (cbrt 3.0))
91.0ms
(+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (cbrt 3.0))))
158.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (cbrt 3.0)))))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04151609
114701449
250011393

prune372.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite28.0ms

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:
9.0ms
(/ (* 2.0 PI) 3.0)
11.0ms
(/ (* 2.0 PI) 3.0)
3.0ms
(sin (/ (* 2.0 PI) 3.0))
3.0ms
(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))

simplify63.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0158426
1579382
22564382
35001382

prune278.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03348
13348

end0.0ms

sample1.2s

Algorithm
intervals
Results
451.0ms8000×body80valid
377.0ms7884×body80nan