Details

Time bar (total: 1.7s)

sample21.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1413
2763
31033
41033

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* a (+ (+ b c) d))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
4×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
8.0ms
(* a (+ (+ b c) d))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* a (+ (+ b c) d))

simplify106.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0162140
1809126
24711126
35001126

prune62.0ms

Filtered
35 candidates to 25 candidates (71.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh000
Picked011
Done000
Total33336

Merged error: 0.0b

Counts
36 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma d a (fma a b (* a c)))
0.0b
(fma a b (* a c))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma d a (fma a b (* a c)))
1.0ms
(fma a b (* a c))

series68.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(fma d a (fma a b (* a c)))
36.0ms
(fma a b (* a c))

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04398
114986
279086
3500186

prune65.0ms

Filtered
26 candidates to 21 candidates (80.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh011
Picked011
Done011
Total26329

Merged error: 0.0b

Counts
29 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.4b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
40×*-un-lft-identity
32×sqrt-prod
24×associate-*r* associate-*l*
18×sqrt-div
15×add-cube-cbrt distribute-lft-out
14×unswap-sqr
13×pow1
11×add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×*-commutative
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ hypot-def
Counts
4 → 124
Calls
4 calls:
6.0ms
(sqrt (+ (+ b c) d))
6.0ms
(sqrt (+ (+ b c) d))
9.0ms
(* a (sqrt (+ (+ b c) d)))
22.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (+ (+ b c) d))
48.0ms
(sqrt (+ (+ b c) d))
77.0ms
(* a (sqrt (+ (+ b c) d)))
70.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify49.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0393999
11572845
25001812

prune248.0ms

Filtered
136 candidates to 89 candidates (65.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0.0b

Counts
139 → 3

regimes117.0ms

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
0103
1103

end0.0ms

sample535.0ms

Algorithm
intervals
Results
187.0ms8000×pre80true
150.0ms8000×body80valid