Details

Time bar (total: 4.9s)

sample66.0ms

Algorithm
intervals
Results
36.0ms802×body80nan
13.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

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
49×*-un-lft-identity
42×times-frac
39×add-sqr-sqrt
33×add-cube-cbrt
20×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube div-inv add-log-exp
5×difference-of-squares
4×expm1-log1p-u sqrt-div log1p-expm1-u
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 → 119
Calls
4 calls:
18.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
8.0ms
(/ (sqrt (- 1.0 (* x x))) x)
3.0ms
(sqrt (- 1.0 (* x x)))
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series575.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
123.0ms
(/ (sqrt (- 1.0 (* x x))) x)
59.0ms
(sqrt (- 1.0 (* x x)))
101.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify53.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05371057
119231003
25001992

prune288.0ms

Filtered
131 candidates to 109 candidates (83.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1292131
Fresh000
Picked101
Done000
Total1302132

Merged error: 0b

Counts
132 → 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)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-sqr-sqrt
19×*-un-lft-identity
14×add-cube-cbrt
13×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×expm1-log1p-u frac-times associate-*r/ div-exp associate-*r* sqrt-prod log1p-expm1-u
3×fma-def 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 → 101
Calls
4 calls:
5.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
8.0ms
(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
3.0ms
(sqrt (- 1.0 (* x x)))
10.0ms
(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

series674.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
465.0ms
(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
61.0ms
(sqrt (- 1.0 (* x x)))
98.0ms
(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0638923
12849826
25002796

prune236.0ms

Filtered
113 candidates to 93 candidates (82.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done000
Total1132115

Merged error: 0b

Counts
115 → 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)

rewrite11.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series718.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt x) (cbrt x))
175.0ms
(cbrt x)
171.0ms
(cbrt x)
172.0ms
(cbrt x)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune219.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done011
Total93295

Merged error: 0b

Counts
95 → 2

regimes14.0ms

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

sample1.8s

Algorithm
intervals
Results
1.0s24105×body80nan
389.0ms8000×body80valid