Details

Time bar (total: 3.8s)

sample28.0ms

Algorithm
intervals
Results
15.0ms307×body80valid
1.0ms9×body640valid
1.0ms8×body320valid
1.0ms3×body1280valid
0.0ms2×body160valid

simplify8.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
41.0ms
(* d1 (+ (+ 3.0 d2) d3))

series28.0ms

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

simplify83.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt d1) (cbrt d1))
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt d1) (cbrt d1))
0.0ms
(cbrt d1)
0.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series701.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt d1) (cbrt d1))
170.0ms
(cbrt d1)
165.0ms
(cbrt d1)
170.0ms
(cbrt d1)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune191.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
3.4b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
9.5b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
12.6b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
17.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
31.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
35.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series230.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
38.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
80.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
96.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify80.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0538973
12736846
25002842

prune226.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.3b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
2.3b
(- (* d3 d3) (* (+ 3.0 d2) d3))
5.5b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
26.3b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
26×distribute-lft-out
18×associate-/r/
16×unpow-prod-down flip3-+ cube-prod frac-add flip-+
13×associate-*r*
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×flip3-- flip--
8×frac-times add-cube-cbrt associate-*r/ add-log-exp
6×pow1
4×associate-*l/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 107
Calls
4 calls:
38.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
3.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
114.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
69.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
28.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
154.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
194.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify112.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08241527
143521379
250011374

prune325.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes60.0ms

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

sample765.0ms

Algorithm
intervals
Results
480.0ms9555×body80valid
34.0ms208×body640valid
20.0ms163×body320valid
16.0ms88×body1280valid
8.0ms93×body160valid