Details

Time bar (total: 4.0s)

sample22.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
4.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1393
2653
3703
4703

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
27.0ms
(+ (+ b c) d)
73.0ms
(* a (+ (+ b c) d))

series47.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (+ b c) d)
29.0ms
(* a (+ (+ b c) d))

simplify28.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177179
1861160
25001160

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ associate-*r* flip-+
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 107
Calls
4 calls:
70.0ms
(* a (+ (+ b c) d))
19.0ms
(sqrt (* a (+ (+ b c) d)))
18.0ms
(sqrt (* a (+ (+ b c) d)))
139.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* a (+ (+ b c) d))
190.0ms
(sqrt (* a (+ (+ b c) d)))
191.0ms
(sqrt (* a (+ (+ b c) d)))
29.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify59.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0328694
11716621
25001599

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (+ (* a (+ b c)) (* a d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (+ (* a (+ b c)) (* a d))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-sqr-sqrt
16×sqrt-div
15×*-un-lft-identity
13×sqrt-prod
12×associate-*r/ associate-*r*
10×add-cube-cbrt
9×flip3-+ flip-+
8×add-exp-log add-cbrt-cube
7×sqrt-pow1 associate-*l* pow-prod-down
6×distribute-lft-out
4×frac-times pow1/2 add-log-exp
3×unswap-sqr
2×associate-*l/ prod-exp *-commutative cbrt-unprod
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-unprod swap-sqr
Counts
4 → 90
Calls
4 calls:
69.0ms
(* a (+ (+ b c) d))
18.0ms
(sqrt (* a (+ (+ b c) d)))
14.0ms
(sqrt (+ (* a (+ b c)) (* a d)))
116.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (+ (* a (+ b c)) (* a d))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* a (+ (+ b c) d))
203.0ms
(sqrt (* a (+ (+ b c) d)))
200.0ms
(sqrt (+ (* a (+ b c)) (* a d)))
124.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (+ (* a (+ b c)) (* a d))))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0413815
12066718
25001695

prune251.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
29.0ms
(sqrt (+ (+ b c) d))
29.0ms
(sqrt (+ (+ b c) d))
67.0ms
(* a (sqrt (+ (+ b c) d)))
131.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sqrt (+ (+ b c) d))
62.0ms
(sqrt (+ (+ b c) d))
82.0ms
(* a (sqrt (+ (+ b c) d)))
69.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify44.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0350732
11442633
25001610

prune199.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes160.0ms

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

sample698.0ms

Algorithm
intervals
Results
310.0ms8000×pre80true
127.0ms8000×body80valid