Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
7.0ms302×body80valid
1.0ms6×body640valid
0.0ms4×body1280valid
0.0ms4×body320valid
0.0ms3×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* d1 3.0) (* d1 d2))
0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
7.0ms
(+ (* d1 3.0) (* d1 d2))
31.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

series82.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* d1 3.0) (* d1 d2))
39.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

simplify107.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0187191
1787163
23595151
35001151

prune64.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
72.0ms
(* d1 (+ (+ 3.0 d2) d3))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify88.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
0.6b
(cbrt (+ (* d1 3.0) (* d1 d2)))
0.6b
(cbrt (+ (* d1 3.0) (* d1 d2)))
0.6b
(cbrt (+ (* d1 3.0) (* d1 d2)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
7×swap-sqr associate-*r* associate-*l* distribute-lft-out
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
43.0ms
(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
5.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
5.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
5.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))

series517.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
127.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
121.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
121.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))

simplify50.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04221333
114421254
250011121

prune323.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt d1)) (cbrt (+ 3.0 d2)))
0.6b
(cbrt (+ (* d1 3.0) (* d1 d2)))
0.6b
(cbrt (+ (* d1 3.0) (* d1 d2)))
0.6b
(cbrt d1)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-div
15×cbrt-prod
11×*-un-lft-identity
9×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt
8×flip3-+ associate-*l/ flip-+
7×associate-*r*
6×pow1/3
5×pow-prod-down add-cbrt-cube
4×frac-times add-log-exp
3×prod-exp cbrt-unprod distribute-lft-out
2×associate-*r/
1×associate-*l* *-commutative
Counts
4 → 70
Calls
4 calls:
55.0ms
(* (* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt d1)) (cbrt (+ 3.0 d2)))
5.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
5.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
1.0ms
(cbrt d1)

series618.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt d1)) (cbrt (+ 3.0 d2)))
123.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
128.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
177.0ms
(cbrt d1)

simplify53.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0548957
11970909
25002842

prune334.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample541.0ms

Algorithm
intervals
Results
226.0ms9453×body80valid
18.0ms221×body640valid
11.0ms111×body1280valid
10.0ms153×body320valid
3.0ms79×body160valid