Details

Time bar (total: 2.2s)

sample24.0ms

Algorithm
intervals
Results
6.0ms270×body80nan
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2113

prune3.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
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)))

series70.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(sqrt (- 1.0 (* x x)))

simplify91.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0157124
1534121
22617120
35002119

prune68.0ms

Filtered
19 candidates to 16 candidates (84.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New17219
Fresh000
Picked011
Done000
Total17320

Merged error: 0b

Counts
20 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×sqrt-prod
17×*-un-lft-identity
16×sqrt-div
pow1 add-cube-cbrt associate-*r*
associate-*l*
add-exp-log add-cbrt-cube
frac-times flip3-- sqrt-pow1 flip3-+ pow1/2 flip-- flip-+ difference-of-squares unswap-sqr
pow-prod-down add-log-exp
rem-sqrt-square associate-*r/ associate-*l/ distribute-lft-out distribute-lft-out--
sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
3 → 76
Calls
3 calls:
5.0ms
(sqrt (- (sqrt 1.0) x))
4.0ms
(sqrt (+ (sqrt 1.0) x))
14.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))

series312.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(sqrt (- (sqrt 1.0) x))
84.0ms
(sqrt (+ (sqrt 1.0) x))
143.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0330766
11193745
25002735

prune260.0ms

Filtered
85 candidates to 62 candidates (72.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
0.0b
(pow (sqrt (- 1.0 (* x x))) 3)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod add-sqr-sqrt sqrt-prod
14×add-cube-cbrt unpow-prod-down *-un-lft-identity cube-prod
pow1 sqrt-div
difference-of-squares
add-exp-log cube-div add-cbrt-cube
pow-unpow flip3-- pow-pow flip-- add-log-exp
cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 83
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
5.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
5.0ms
(pow (sqrt (- 1.0 (* x x))) 3)

series295.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sqrt (- 1.0 (* x x)))
65.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
171.0ms
(pow (sqrt (- 1.0 (* x x))) 3)

simplify50.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0339591
11301568
25001552

prune207.0ms

Filtered
92 candidates to 52 candidates (56.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done022
Total92395

Merged error: 0b

Counts
95 → 3

regimes101.0ms

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

sample590.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid
168.0ms7964×body80nan

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