Details

Time bar (total: 3.1s)

sample18.0ms

Algorithm
intervals
Results
7.0ms303×body80valid
1.0ms12×body640valid
0.0ms4×body320valid
0.0ms5×body160valid
0.0ms2×body1280valid

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: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
3.0ms
(+ (* d1 3.0) (* d1 d2))
6.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

series80.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* d1 3.0) (* d1 d2))
36.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

simplify106.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0187191
1787163
23595151
35001151

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:
7.0ms
(* d1 (+ 3.0 (+ d3 d2)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* d1 (+ 3.0 (+ d3 d2)))

simplify96.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0146117
1739103
24443103
35002103

prune41.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 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))))
0.5b
(cbrt (+ (* d1 3.0) (* d1 d2)))
0.5b
(cbrt (+ (* d1 3.0) (* d1 d2)))
0.5b
(cbrt (+ (* d1 3.0) (* d1 d2)))

rewrite23.0ms

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:
10.0ms
(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
3.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
3.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
3.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
120.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
126.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
120.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04221333
114421254
250011121

prune329.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
20×cbrt-prod
9×flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 62
Calls
4 calls:
3.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
3.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
4.0ms
(cbrt (cbrt (+ (* d1 3.0) (* d1 d2))))
9.0ms
(cbrt (* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2)))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
128.0ms
(cbrt (+ (* d1 3.0) (* d1 d2)))
120.0ms
(cbrt (cbrt (+ (* d1 3.0) (* d1 d2))))
153.0ms
(cbrt (* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
05001113
113961049
25001952

prune334.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes87.0ms

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
0145
1145

end0.0ms

sample673.0ms

Algorithm
intervals
Results
431.0ms9536×body80valid
20.0ms219×body640valid
11.0ms97×body1280valid
11.0ms166×body320valid
5.0ms98×body160valid