Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms327×body80valid
1.0ms8×body640valid
0.0ms5×body160valid
0.0ms2×body1280valid
0.0ms1×body320valid

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite80.0ms

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:
79.0ms
(* d1 (+ (+ 3.0 d2) d3))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify87.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune44.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube distribute-lft-out
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
86.0ms
(* (+ (+ 3.0 d2) d3) d1)

series28.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0125120
1576103
24103103
35003103

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
2.0b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
8.3b
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
15.7b
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

rewrite204.0ms

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×associate-*l* distribute-lft-out
7×associate-*r*
6×flip3-+ times-frac swap-sqr associate-*l/ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod
2×cbrt-undiv distribute-rgt-in distribute-lft-in associate-*r/ div-exp pow-prod-down associate--l+ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 sub-neg frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 107
Calls
4 calls:
35.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
22.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
71.0ms
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
72.0ms
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

series195.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
38.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
64.0ms
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
76.0ms
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

simplify77.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0512908
12586793
25003789

prune225.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.3b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
1.6b
(- (* d3 d3) (* (+ 3.0 d2) d3))
4.8b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
27.1b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite413.0ms

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:
68.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
8.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
196.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
135.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series485.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
29.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
165.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
221.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify117.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08241527
143521379
250011374

prune329.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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

sample566.0ms

Algorithm
intervals
Results
245.0ms9538×body80valid
18.0ms204×body640valid
11.0ms97×body1280valid
10.0ms156×body320valid
4.0ms85×body160valid