Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms291×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2133
3133

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)))

rewrite4.0ms

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 expm1-log1p-u rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
1 → 18
Calls
1 calls:
4.0ms
(sqrt (- 1.0 (* x x)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(sqrt (- 1.0 (* x x)))

simplify82.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0165131
1568128
22782126
35001123

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
0.0b
(hypot x (sqrt 1.0))
0.0b
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)))
0.1b
(* (* x x) (* x x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
36×pow-prod-up
23×pow-prod-down
22×add-sqr-sqrt pow-sqr
21×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×add-exp-log pow-plus add-cbrt-cube
13×pow2
8×prod-exp cbrt-unprod
7×associate-/l*
5×difference-of-squares
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×associate-/r*
2×hypot-udef flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv unswap-sqr
Counts
4 → 141
Calls
4 calls:
4.0ms
(sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
0.0ms
(hypot x (sqrt 1.0))
8.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)))
13.0ms
(* (* x x) (* x x))

series527.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
99.0ms
(hypot x (sqrt 1.0))
278.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)))
37.0ms
(* (* x x) (* x x))

simplify60.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05161137
120501047
250011034

prune286.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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
0109

end0.0ms

sample420.0ms

Algorithm
intervals
Results
130.0ms8000×body80valid
124.0ms8034×body80nan