Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify8.0ms

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: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
5.0ms
(+ (+ b c) d)
8.0ms
(* a (+ (+ b c) d))

series40.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ (+ b c) d)
26.0ms
(* 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

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×sqrt-prod
30×add-sqr-sqrt distribute-lft-out
28×sqrt-div
26×pow1
16×swap-sqr
15×add-cube-cbrt
14×flip3-+ flip-+
12×associate-*r/
11×add-exp-log associate-*l* add-cbrt-cube
10×sqrt-pow1 pow1/2
9×associate-*r*
8×frac-times
6×pow-prod-down
5×pow-prod-up unswap-sqr
4×associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow-sqr
2×rem-sqrt-square *-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 130
Calls
4 calls:
5.0ms
(sqrt (+ (+ b c) d))
5.0ms
(sqrt (+ (+ b c) d))
17.0ms
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
15.0ms
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (+ (+ b c) d))
48.0ms
(sqrt (+ (+ b c) d))
70.0ms
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
49.0ms
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))

simplify51.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0355871
11507753
25003738

prune220.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ b c) d)
0.3b
(* (+ (+ b c) d) (sqrt a))
0.4b
(* (sqrt a) (* (+ (+ b c) d) (sqrt a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×add-sqr-sqrt
11×associate-*l*
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
7×associate-*r* sqrt-prod
6×distribute-lft-out
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-+ sum-log flip-+
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 64
Calls
3 calls:
5.0ms
(+ (+ b c) d)
9.0ms
(* (+ (+ b c) d) (sqrt a))
11.0ms
(* (sqrt a) (* (+ (+ b c) d) (sqrt a)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (+ b c) d)
59.0ms
(* (+ (+ b c) d) (sqrt a))
50.0ms
(* (sqrt a) (* (+ (+ b c) d) (sqrt a)))

simplify35.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0250427
11224361
25001341

prune134.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ b c) d)
0.0b
(* a (+ (+ b c) d))
0.6b
(pow (* a (+ (+ b c) d)) 3)
14.5b
(cbrt (pow (* a (+ (+ b c) d)) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
10×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube add-log-exp
8×cbrt-prod add-cube-cbrt
6×associate-*r/ distribute-lft-out
5×associate-*r*
4×cube-div flip3-+ flip-+
3×pow-unpow associate-*l* sum-log
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative distribute-rgt-in pow-to-exp associate-+l+ distribute-lft-in pow1/3 *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 82
Calls
4 calls:
6.0ms
(+ (+ b c) d)
8.0ms
(* a (+ (+ b c) d))
8.0ms
(pow (* a (+ (+ b c) d)) 3)
3.0ms
(cbrt (pow (* a (+ (+ b c) d)) 3))

series265.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (+ b c) d)
25.0ms
(* a (+ (+ b c) d))
196.0ms
(pow (* a (+ (+ b c) d)) 3)
30.0ms
(cbrt (pow (* a (+ (+ b c) d)) 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0299437
11635423
25002422

prune172.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes150.0ms

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

sample529.0ms

Algorithm
intervals
Results
189.0ms8000×pre80true
151.0ms8000×body80valid