Details

Time bar (total: 3.5s)

sample33.0ms

Algorithm
intervals
Results
19.0ms304×body80valid
1.0ms5×body1280valid
1.0ms7×body320valid
1.0ms4×body640valid
0.0ms3×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune4.0ms

Pruning

1 alts after pruning (1 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:
40.0ms
(* d1 (+ (+ 3.0 d2) d3))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify83.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
11.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
12.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
10.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
10.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
171.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
175.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
173.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04021012
11343934
25001861

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ 3.0 d2) d3))
0.0b
(sqrt (+ (+ 3.0 d2) d3))
0.2b
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.3b
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
16.0ms
(sqrt (+ (+ 3.0 d2) d3))
18.0ms
(sqrt (+ (+ 3.0 d2) d3))
36.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
72.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ (+ 3.0 d2) d3))
36.0ms
(sqrt (+ (+ 3.0 d2) d3))
71.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
30.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify47.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0347749
11459655
25001635

prune191.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
1.7b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.1b
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
14.7b
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

rewrite93.0ms

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:
18.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
30.0ms
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
32.0ms
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

series182.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
36.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
60.0ms
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
67.0ms
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

simplify76.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0512908
12586793
25003791

prune218.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes61.0ms

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

sample950.0ms

Algorithm
intervals
Results
623.0ms9448×body80valid
47.0ms215×body640valid
24.0ms89×body1280valid
24.0ms143×body320valid
13.0ms111×body160valid