Details

Time bar (total: 4.8s)

sample68.0ms

Algorithm
intervals
Results
35.0ms802×body80nan
15.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 98
Calls
4 calls:
19.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
6.0ms
(sqrt (- 1.0 (* x x)))
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series590.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
132.0ms
(/ (sqrt (- 1.0 (* x x))) x)
62.0ms
(sqrt (- 1.0 (* x x)))
107.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05121016
11816965
25001961

prune238.0ms

Filtered
110 candidates to 88 candidates (80.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1082110
Fresh000
Picked101
Done000
Total1092111

Merged error: 0b

Counts
111 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (sqrt (- 1.0 (* x x))))
0.0b
(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
22×add-sqr-sqrt
18×*-un-lft-identity
13×add-cube-cbrt associate-*l*
11×times-frac
10×pow1
9×add-cbrt-cube
8×prod-exp
6×add-log-exp
5×log-div flip3-+ rem-log-exp flip-+
4×frac-times associate-*r/ div-exp associate-*r* sqrt-prod
3×unswap-sqr
2×rec-exp sqrt-div 1-exp pow-prod-down associate-*l/ log-pow cbrt-unprod distribute-lft-out
1×cbrt-undiv +-commutative distribute-rgt-in rem-sqrt-square log-prod flip3-- distribute-lft-in sqrt-pow1 pow1/2 sum-log *-commutative flip-- div-inv difference-of-squares
Counts
4 → 90
Calls
4 calls:
5.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
9.0ms
(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
2.0ms
(sqrt (- 1.0 (* x x)))
10.0ms
(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

series508.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
293.0ms
(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
57.0ms
(sqrt (- 1.0 (* x x)))
106.0ms
(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0613870
12737789
25001764

prune213.0ms

Filtered
102 candidates to 82 candidates (80.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done000
Total1022104

Merged error: 0b

Counts
104 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series754.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (cbrt x) (cbrt x))
180.0ms
(cbrt x)
187.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune192.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done011
Total85287

Merged error: 0b

Counts
87 → 2

regimes16.0ms

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
0147
1147

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s24105×body80nan
414.0ms8000×body80valid