Details

Time bar (total: 2.1s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms273×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2133
3133

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×sqrt-prod add-log-exp
3×pow1 fma-neg prod-diff
2×add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 39
Calls
2 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
3.0ms
(- 1.0 (* x x))

series101.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(sqrt (- 1.0 (* x x)))
38.0ms
(- 1.0 (* x x))

simplify101.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0194231
1643216
23268213
35002204

prune95.0ms

Filtered
45 candidates to 36 candidates (80.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (pow x 2))
0.0b
(sqrt (+ (- 1.0 (pow x 2)) (fma (- x) x (* x x))))
31.1b
(fma (- x) x (* x x))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×*-un-lft-identity
24×prod-diff
19×add-cube-cbrt
10×unpow-prod-down
5×sqrt-prod add-log-exp
4×pow1 unpow2 difference-of-squares sqr-pow
3×add-exp-log expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
2×sqrt-div distribute-lft-out distribute-lft-out--
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 diff-log flip-- flip-+ fma-udef hypot-def
Counts
3 → 76
Calls
3 calls:
6.0ms
(- 1.0 (pow x 2))
42.0ms
(sqrt (+ (- 1.0 (pow x 2)) (fma (- x) x (* x x))))
0.0ms
(fma (- x) x (* x x))

series211.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- 1.0 (pow x 2))
116.0ms
(sqrt (+ (- 1.0 (pow x 2)) (fma (- x) x (* x x))))
53.0ms
(fma (- x) x (* x x))

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0368714
11204534
25001531

prune174.0ms

Filtered
85 candidates to 50 candidates (58.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ (/ (fma 1.0 1.0 (- (pow x 4))) (fma x x 1.0)) (fma (- x) x (* x x))))
0.0b
(/ (fma 1.0 1.0 (- (pow x 4))) (fma x x 1.0))
31.1b
(fma (- x) x (* x x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt
10×times-frac
5×add-exp-log add-cbrt-cube
4×pow1 sqrt-prod
3×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×sqrt-div hypot-def
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp clear-num flip-+ fma-udef div-inv distribute-lft-out
Counts
3 → 59
Calls
3 calls:
17.0ms
(sqrt (+ (/ (fma 1.0 1.0 (- (pow x 4))) (fma x x 1.0)) (fma (- x) x (* x x))))
2.0ms
(/ (fma 1.0 1.0 (- (pow x 4))) (fma x x 1.0))
0.0ms
(fma (- x) x (* x x))

series382.0ms

Counts
3 → 9
Calls
3 calls:
183.0ms
(sqrt (+ (/ (fma 1.0 1.0 (- (pow x 4))) (fma x x 1.0)) (fma (- x) x (* x x))))
147.0ms
(/ (fma 1.0 1.0 (- (pow x 4))) (fma x x 1.0))
51.0ms
(fma (- x) x (* x x))

simplify144.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0255602
1809580
24433577
35001563

prune223.0ms

Filtered
68 candidates to 55 candidates (80.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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
01410
11410

end0.0ms

sample467.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid
136.0ms7953×body80nan