Details

Time bar (total: 1.8s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms191×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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:
2.0ms
(sqrt (- 1.0 (* x x)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(sqrt (- 1.0 (* x x)))

simplify77.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0157124
1534121
22617120
35002119

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (sqrt (- 1.0 (* x x))))
0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(log (exp (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))))
2.0ms
(sqrt (- 1.0 (* x x)))
5.0ms
(log (exp (sqrt (- 1.0 (* x x)))))

series184.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(exp (sqrt (- 1.0 (* x x))))
56.0ms
(sqrt (- 1.0 (* x x)))
61.0ms
(log (exp (sqrt (- 1.0 (* x x)))))

simplify118.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0239379
1807359
24049349
35002345

prune137.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×associate-*r/
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 12
Calls
1 calls:
12.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

series292.0ms

Counts
1 → 3
Calls
1 calls:
292.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

simplify223.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0137231
1642209
24998201
35001201

prune50.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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
053

end0.0ms

sample448.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid
136.0ms7986×body80nan