Details

Time bar (total: 1.1s)

sample16.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms274×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2113

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

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)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(sqrt (- 1.0 (* x x)))

simplify78.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0157124
1534121
22617120
35002119

prune44.0ms

Filtered
19 candidates to 16 candidates (84.2%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New18119
Fresh000
Picked101
Done000
Total19120

Merged error: 0b

Counts
20 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
0.1b
(pow (* x x) 3)
0.1b
(* (* x x) (* x x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
37×pow-prod-up
24×pow-prod-down
23×pow-sqr
19×pow-plus
18×add-exp-log add-cbrt-cube
14×pow2
9×prod-exp cbrt-unprod
6×pow-pow
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow-unpow
2×pow-exp rem-cube-cbrt
1×+-commutative cube-mult pow-to-exp unpow-prod-down distribute-rgt-out flip3-+ unpow3 cube-prod swap-sqr associate-*r* associate-*l* sum-log *-commutative flip-+ unswap-sqr sqr-pow
Counts
3 → 101
Calls
3 calls:
10.0ms
(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
4.0ms
(pow (* x x) 3)
13.0ms
(* (* x x) (* x x))

series160.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
46.0ms
(pow (* x x) 3)
30.0ms
(* (* x x) (* x x))

simplify50.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0259239
11169191
25001188

prune182.0ms

Filtered
110 candidates to 45 candidates (40.9%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done000
Total1101111

Merged error: 0b

Counts
111 → 1

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01815
11815

end0.0ms

sample431.0ms

Algorithm
intervals
Results
132.0ms8000×body80valid
124.0ms8018×body80nan