Details

Time bar (total: 1.9s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms272×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073
1113
2113

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
3.0ms
(sqrt (- 1.0 (* x x)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(sqrt (- 1.0 (* x x)))

simplify81.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0157124
1534121
22617120
35002119

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (sqrt (- 1.0 (* x x))))
0.0b
(log (exp (sqrt (- 1.0 (* x x)))))
0.0b
(sqrt (- 1.0 (* x x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×exp-prod
13×add-sqr-sqrt
12×sqrt-prod
9×add-cube-cbrt *-un-lft-identity
8×log-pow
5×pow1
4×add-log-exp
3×add-exp-log log-prod add-cbrt-cube difference-of-squares
2×sqrt-div
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp flip-- rem-exp-log
Counts
3 → 50
Calls
3 calls:
5.0ms
(exp (sqrt (- 1.0 (* x x))))
5.0ms
(log (exp (sqrt (- 1.0 (* x x)))))
3.0ms
(sqrt (- 1.0 (* x x)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(exp (sqrt (- 1.0 (* x x))))
59.0ms
(log (exp (sqrt (- 1.0 (* x x)))))
61.0ms
(sqrt (- 1.0 (* x x)))

simplify123.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0239379
1807359
24049349
35002345

prune152.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))
0.0b
(* 1/2 (/ (pow x 2) (sqrt 1.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
54×add-sqr-sqrt
52×associate-*r*
32×add-cube-cbrt *-un-lft-identity
28×sqrt-prod
20×unpow-prod-down
12×add-exp-log
9×unswap-sqr
8×unpow2 sqr-pow
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×associate-*r/ div-exp associate-*l*
2×cbrt-unprod
1×cbrt-undiv +-commutative pow-to-exp flip3-+ pow-prod-down frac-add pow-exp sum-log *-commutative flip-+ div-inv
Counts
2 → 92
Calls
2 calls:
12.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))
22.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))

series361.0ms

Counts
2 → 6
Calls
2 calls:
290.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))
71.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0465718
12264638
25002638

prune254.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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
075

end0.0ms

sample423.0ms

Algorithm
intervals
Results
135.0ms8000×body80valid
122.0ms8067×body80nan