Details

Time bar (total: 12.9s)

sample117.0ms

Algorithm
intervals
Results
53.0ms101×body1280valid
25.0ms80×body640valid
13.0ms258×body80nan
10.0ms49×body320valid
3.0ms6×body80valid
3.0ms20×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
6.0b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×expm1-log1p-u flip3-+ div-exp rem-log-exp flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 87
Calls
2 calls:
12.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
132.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0354672
11096638
24786623
35001622

prune182.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×prod-diff
23×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
13×unpow-prod-down
8×fma-neg
5×unpow2 sqr-pow
4×difference-of-squares
3×add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- fma-udef log1p-expm1-u associate--r+ distribute-lft-out--
Counts
1 → 52
Calls
1 calls:
10.0ms
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify139.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0203877
1600486
23825462
35001461

prune93.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
0.0b
(pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)
0.1b
(pow (pow eps 2) 3)
39.2b
(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
266×add-sqr-sqrt
169×unpow-prod-down
160×difference-of-squares
147×times-frac
131×cube-prod
106×*-un-lft-identity
92×sqr-pow
66×add-cube-cbrt
49×associate-/l*
34×unpow2
20×distribute-lft-out--
9×add-exp-log
8×add-cbrt-cube
6×pow-unpow
5×pow1 pow-exp
4×difference-cubes expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp associate-/r*
2×cube-mult pow-pow unpow3 associate-/l/ rem-cube-cbrt
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
4 → 288
Calls
4 calls:
0.0ms
(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
1.0ms
(pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)
3.0ms
(pow (pow eps 2) 3)
117.0ms
(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
49.0ms
(pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)
43.0ms
(pow (pow eps 2) 3)
455.0ms
(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

simplify149.0ms

Algorithm
egg-herbie
Counts
300 → 300
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07487039
128926790
250016581

prune598.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

12.1b
(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))))
25.1b
(sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))
25.1b
(sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))
25.2b
(/ (/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))))

rewrite634.0ms

Algorithm
rewrite-expression-head
Rules
4140×times-frac
3898×add-sqr-sqrt
2082×sqrt-prod
1960×difference-of-squares
1936×*-un-lft-identity
1862×unpow-prod-down
1470×cube-prod
1446×add-cube-cbrt
1078×sqr-pow
392×unpow2
347×associate-/l*
245×distribute-lft-out--
49×difference-cubes
12×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- flip--
Counts
4 → 2506
Calls
4 calls:
123.0ms
(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))))
1.0ms
(sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))
1.0ms
(sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))
173.0ms
(/ (/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))))

series1.2s

Counts
4 → 12
Calls
4 calls:
421.0ms
(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))))
178.0ms
(sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))
178.0ms
(sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))
471.0ms
(/ (/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))))

simplify1.5s

Algorithm
egg-herbie
Counts
2518 → 2518
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
03231125665
15001119650

prune3.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes23.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138
1138

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.8s3416×body1280valid
795.0ms2534×body640valid
401.0ms8017×body80nan
248.0ms1243×body320valid
79.0ms596×body160valid
14.0ms211×body80valid