Details

Time bar (total: 4.0s)

sample22.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:
13.0ms
(+ (+ b c) d)
42.0ms
(* a (+ (+ b c) d))

series41.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (+ b c) d)
26.0ms
(* a (+ (+ b c) d))

simplify29.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177179
1861160
25001160

prune79.0ms

Filtered
45 candidates to 28 candidates (62.2%)
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
(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)))

rewrite180.0ms

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:
16.0ms
(sqrt (+ (+ b c) d))
16.0ms
(sqrt (+ (+ b c) d))
69.0ms
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
74.0ms
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ (+ b c) d))
47.0ms
(sqrt (+ (+ b c) d))
66.0ms
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
47.0ms
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))

simplify49.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0355871
11507753
25003738

prune227.0ms

Filtered
142 candidates to 77 candidates (54.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

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))))

rewrite134.0ms

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:
37.0ms
(* a (+ (+ b c) d))
10.0ms
(sqrt (* a (+ (+ b c) d)))
10.0ms
(sqrt (* a (+ (+ b c) d)))
74.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series406.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* a (+ (+ b c) d))
178.0ms
(sqrt (* a (+ (+ b c) d)))
174.0ms
(sqrt (* a (+ (+ b c) d)))
28.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0328694
11716621
25001599

prune209.0ms

Filtered
119 candidates to 68 candidates (57.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
141×sqrt-prod
122×sqrt-div
97×sqrt-pow1
81×*-un-lft-identity
75×pow1
60×add-sqr-sqrt
53×pow1/2
43×pow-prod-up
35×flip3-+ flip-+
33×distribute-lft-out
32×frac-times
25×swap-sqr
22×add-cube-cbrt
19×associate-*r*
16×associate-*l/
13×pow-sqr
12×associate-*l* pow-prod-down
11×add-exp-log add-cbrt-cube unswap-sqr
10×associate-*r/
7×pow-plus
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 rem-square-sqrt
Counts
4 → 221
Calls
4 calls:
16.0ms
(sqrt (sqrt (+ (+ b c) d)))
17.0ms
(sqrt (sqrt (+ (+ b c) d)))
79.0ms
(* (sqrt (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
139.0ms
(* (* (sqrt (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (+ (+ b c) d)))

series891.0ms

Counts
4 → 12
Calls
4 calls:
394.0ms
(sqrt (sqrt (+ (+ b c) d)))
399.0ms
(sqrt (sqrt (+ (+ b c) d)))
53.0ms
(* (sqrt (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
45.0ms
(* (* (sqrt (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (+ (+ b c) d)))

simplify85.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05921905
124691563
250021541

prune376.0ms

Filtered
233 candidates to 100 candidates (42.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes142.0ms

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

sample524.0ms

Algorithm
intervals
Results
188.0ms8000×pre80true
145.0ms8000×body80valid