Details

Time bar (total: 4.6s)

sample393.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
20.0ms54×body10240exit
18.0ms346×body80nan

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1225
2445
31145
43215
516275
650015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sin (pow (sqrt (atan2 b b)) (- b a)))
0.0b
(pow (sqrt (atan2 b b)) (- b a))
1.0b
(sqrt (atan2 b b))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
11×unpow-prod-up
9×prod-diff
6×pow1 unpow-prod-down sqrt-prod
5×pow-unpow
4×add-exp-log
3×expm1-log1p-u pow-pow add-cbrt-cube log1p-expm1-u add-log-exp
2×sqrt-pow1 pow1/2
1×pow-to-exp sub-neg rem-sqrt-square pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
3 → 63
Calls
3 calls:
12.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
8.0ms
(pow (sqrt (atan2 b b)) (- b a))
4.0ms
(sqrt (atan2 b b))

series118.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
33.0ms
(pow (sqrt (atan2 b b)) (- b a))
20.0ms
(sqrt (atan2 b b))

simplify74.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0255514
1714433
22702425
35002408

prune149.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(sin (pow (atan2 b b) (* 1/2 (- b a))))
0.0b
(pow (atan2 b b) (* 1/2 (- b a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×unpow-prod-up
18×prod-diff
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×distribute-rgt-in distribute-lft-in
3×pow1 add-exp-log unpow-prod-down
2×expm1-log1p-u sub-neg add-cbrt-cube log1p-expm1-u add-log-exp
1×pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 48
Calls
2 calls:
18.0ms
(sin (pow (atan2 b b) (* 1/2 (- b a))))
10.0ms
(pow (atan2 b b) (* 1/2 (- b a)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(sin (pow (atan2 b b) (* 1/2 (- b a))))
22.0ms
(pow (atan2 b b) (* 1/2 (- b a)))

simplify100.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0324582
1913448
23678428
35001425

prune93.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sin (pow (atan2 b b) (* 1/2 (- b a))))
0.0b
(exp (log (sin (pow (atan2 b b) (* 1/2 (- b a))))))
0.0b
(pow (atan2 b b) (* 1/2 (- b a)))
0.3b
(log (sin (pow (atan2 b b) (* 1/2 (- b a)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
22×unpow-prod-up
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×prod-diff
11×distribute-rgt-in distribute-lft-in
7×pow1
6×add-exp-log log-prod
4×expm1-log1p-u exp-prod add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down exp-sum
2×sub-neg log-pow
1×pow-to-exp pow-unpow pow-pow rem-log-exp pow-exp rem-exp-log sqr-pow
Counts
4 → 79
Calls
4 calls:
31.0ms
(sin (pow (atan2 b b) (* 1/2 (- b a))))
14.0ms
(exp (log (sin (pow (atan2 b b) (* 1/2 (- b a))))))
8.0ms
(pow (atan2 b b) (* 1/2 (- b a)))
13.0ms
(log (sin (pow (atan2 b b) (* 1/2 (- b a)))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sin (pow (atan2 b b) (* 1/2 (- b a))))
64.0ms
(exp (log (sin (pow (atan2 b b) (* 1/2 (- b a))))))
22.0ms
(pow (atan2 b b) (* 1/2 (- b a)))
94.0ms
(log (sin (pow (atan2 b b) (* 1/2 (- b a)))))

simplify118.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0383909
11067734
24282697
35001693

prune198.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sin (pow (atan2 b b) (* 1/2 (- b a))))
0.0b
(pow E (log (sin (pow (atan2 b b) (* 1/2 (- b a))))))
0.0b
(pow (atan2 b b) (* 1/2 (- b a)))
0.3b
(log (sin (pow (atan2 b b) (* 1/2 (- b a)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×unpow-prod-up
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×prod-diff
11×distribute-rgt-in distribute-lft-in
8×pow1
7×add-exp-log
6×unpow-prod-down log-prod
5×pow-unpow
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-exp
2×pow-to-exp sub-neg pow-pow log-pow sqr-pow
1×e-exp-1 rem-log-exp
Counts
4 → 86
Calls
4 calls:
18.0ms
(sin (pow (atan2 b b) (* 1/2 (- b a))))
15.0ms
(pow E (log (sin (pow (atan2 b b) (* 1/2 (- b a))))))
10.0ms
(pow (atan2 b b) (* 1/2 (- b a)))
12.0ms
(log (sin (pow (atan2 b b) (* 1/2 (- b a)))))

series286.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sin (pow (atan2 b b) (* 1/2 (- b a))))
107.0ms
(pow E (log (sin (pow (atan2 b b) (* 1/2 (- b a))))))
22.0ms
(pow (atan2 b b) (* 1/2 (- b a)))
92.0ms
(log (sin (pow (atan2 b b) (* 1/2 (- b a)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
04291023
11356851
25001830

prune227.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample2.2s

Algorithm
intervals
Results
729.0ms1741×body10240exit
495.0ms9997×body80nan
461.0ms7991×body80valid
1.0ms1×body2560valid
1.0ms3×body320valid
1.0ms1×body1280valid
1.0ms3×body160valid
0.0ms1×body640valid