Details

Time bar (total: 1.3s)

sample20.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms246×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2113

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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:
2.0ms
(sqrt (- 1.0 (* x x)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(sqrt (- 1.0 (* x x)))

simplify79.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0157124
1536122
22654120
35001119

prune33.0ms

Filtered
19 candidates to 16 candidates (15.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New17219
Fresh000
Picked011
Done000
Total17320

Merged error: 0b

Counts
20 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
115×pow1
56×sqrt-prod
42×times-frac
36×pow-prod-up
35×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
23×pow-prod-down
22×pow-sqr
18×pow-plus
17×add-exp-log add-cbrt-cube
13×pow2
prod-exp cbrt-unprod difference-of-squares
associate-/l*
sqrt-div associate-/r*
add-log-exp
flip3-- associate-/r/ flip-- associate-/l/
cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 flip3-+ pow1/2 swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative flip-+ div-inv unswap-sqr
Counts
3 → 151
Calls
3 calls:
3.0ms
(sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
8.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))
11.0ms
(* (* x x) (* x x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
7.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))
4.0ms
(* (* x x) (* x x))

simplify67.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04621593
118381488
250011462

prune174.0ms

Filtered
160 candidates to 76 candidates (52.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh011
Picked011
Done011
Total1603163

Merged error: 0b

Counts
163 → 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:
2.0ms
(sqrt (- 1.0 (* x x)))
5.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
5.0ms
(pow (sqrt (- 1.0 (* x x))) 3)

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
8.0ms
(pow (sqrt (- 1.0 (* x x))) 3)

simplify42.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0339591
11305569
25002553

prune104.0ms

Filtered
92 candidates to 52 candidates (43.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done022
Total92395

Merged error: 0b

Counts
95 → 3

regimes91.0ms

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

sample583.0ms

Algorithm
intervals
Results
181.0ms8000×body80valid
170.0ms8045×body80nan

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