Details

Time bar (total: 4.0s)

sample317.0ms

Algorithm
intervals
Results
17.0ms47×body10240exit
15.0ms295×body80nan
14.0ms256×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1225
2445
31145
43155
516095
650015

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×add-cube-cbrt unpow-prod-down sqrt-prod
5×pow1 pow-unpow
3×add-exp-log pow-pow
2×unpow-prod-up sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
1×pow-to-exp sub-neg rem-sqrt-square pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
2 → 41
Calls
2 calls:
3.0ms
(pow (sqrt (atan2 b b)) (- b a))
3.0ms
(sqrt (atan2 b b))

series54.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(pow (sqrt (atan2 b b)) (- b a))
16.0ms
(sqrt (atan2 b b))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0120239
1357224
21225224
35001222

prune101.0ms

Filtered
47 candidates to 28 candidates (59.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
87×unpow-prod-down
82×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
25×unswap-sqr
23×swap-sqr
17×add-exp-log
15×associate-*r* associate-*l* sqr-pow
14×unpow-prod-up
9×pow1 prod-exp
7×pow-to-exp sub-neg pow-exp
6×sqrt-pow1 add-cbrt-cube
5×pow-unpow pow-pow pow-sub
4×pow1/2 add-log-exp
2×rem-sqrt-square
1×pow2 frac-times associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up sqrt-pow2 cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 162
Calls
4 calls:
4.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
24.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
1.0ms
(sqrt (atan2 b b))
1.0ms
(sqrt (atan2 b b))

series82.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
36.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
9.0ms
(sqrt (atan2 b b))
10.0ms
(sqrt (atan2 b b))

simplify54.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
02921754
113191646
250021602

prune341.0ms

Filtered
174 candidates to 84 candidates (48.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a)))))
1.0b
(sqrt (atan2 b b))
1.0b
(sqrt (atan2 b b))
3.6b
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
66×sqrt-prod
60×unpow-prod-down
55×log-prod
40×exp-sum
30×unswap-sqr
19×add-cube-cbrt *-un-lft-identity
18×associate-*r*
15×associate-*l*
14×sqr-pow
8×add-exp-log
6×pow1 unpow-prod-up add-cbrt-cube
5×pow-sub
4×add-log-exp
3×sub-neg log-div rem-log-exp prod-exp
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 exp-diff pow-exp
1×frac-times associate-*r/ associate-*l/ log-pow *-commutative cbrt-unprod
Counts
4 → 131
Calls
4 calls:
33.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a)))))
1.0ms
(sqrt (atan2 b b))
1.0ms
(sqrt (atan2 b b))
4.0ms
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

series140.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a)))))
9.0ms
(sqrt (atan2 b b))
10.0ms
(sqrt (atan2 b b))
81.0ms
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

simplify44.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03161765
110691488
250011409

prune342.0ms

Filtered
143 candidates to 76 candidates (53.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))
1.0b
(sqrt (atan2 b b))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×sqrt-prod
9×unpow-prod-down
7×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity
5×pow-pow sqrt-pow1
4×unpow-prod-up
3×add-exp-log pow1/2
2×distribute-rgt-in sub-neg distribute-lft-in add-cbrt-cube add-log-exp
1×pow-to-exp rem-sqrt-square pow-unpow pow-exp sqrt-pow2 sqr-pow
Counts
2 → 43
Calls
2 calls:
3.0ms
(pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))
1.0ms
(sqrt (atan2 b b))

series38.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))
10.0ms
(sqrt (atan2 b b))

simplify115.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0182348
1637321
23255301
35002281

prune98.0ms

Filtered
49 candidates to 26 candidates (53.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11214

end0.0ms

sample2.0s

Algorithm
intervals
Results
744.0ms1767×body10240exit
454.0ms9759×body80nan
433.0ms7992×body80valid
4.0ms3×body2560valid
3.0ms1×body5120valid
1.0ms2×body1280valid
0.0ms2×body320valid