Details

Time bar (total: 4.0s)

sample26.0ms

Algorithm
intervals
Results
15.0ms305×body80valid
1.0ms5×body640valid
0.0ms4×body320valid
0.0ms4×body160valid
0.0ms1×body1280valid

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: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:
39.0ms
(* 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

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite47.0ms

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))))
10.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
10.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
13.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

series715.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
171.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
171.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
171.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04021012
11343934
25001861

prune246.0ms

Pruning

4 alts after pruning (2 fresh and 2 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))
7.3b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.4b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite100.0ms

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))
9.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
33.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
37.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series253.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
39.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
76.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
123.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify83.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0538973
12736846
25002842

prune214.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (- (+ 3.0 d2) d3))
2.0b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
4.0b
(/ (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) (cbrt (- (+ 3.0 d2) d3)))
18.8b
(* (/ d1 (* (cbrt (- (+ 3.0 d2) d3)) (cbrt (- (+ 3.0 d2) d3)))) (/ (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) (cbrt (- (+ 3.0 d2) d3))))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
82×times-frac
81×add-sqr-sqrt
62×cbrt-prod
45×add-cube-cbrt
42×associate-*r*
30×difference-of-squares
27×add-exp-log
20×distribute-lft-out--
19×add-cbrt-cube
18×cbrt-div
15×associate-*l*
12×associate-/r/
11×flip3-- flip--
10×distribute-lft-out
9×associate-/r*
8×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1 add-log-exp unswap-sqr
5×frac-times
4×associate-/l*
3×associate-*r/ associate-*l/ div-inv
2×associate--l+ associate-/l/
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow1/3 diff-log div-sub pow-prod-down clear-num *-commutative
Counts
4 → 184
Calls
4 calls:
10.0ms
(cbrt (- (+ 3.0 d2) d3))
9.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
37.0ms
(/ (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) (cbrt (- (+ 3.0 d2) d3)))
171.0ms
(* (/ d1 (* (cbrt (- (+ 3.0 d2) d3)) (cbrt (- (+ 3.0 d2) d3)))) (/ (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) (cbrt (- (+ 3.0 d2) d3))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(cbrt (- (+ 3.0 d2) d3))
41.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
116.0ms
(/ (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) (cbrt (- (+ 3.0 d2) d3)))
98.0ms
(* (/ d1 (* (cbrt (- (+ 3.0 d2) d3)) (cbrt (- (+ 3.0 d2) d3)))) (/ (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) (cbrt (- (+ 3.0 d2) d3))))

simplify113.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09763282
145083006
250022912

prune536.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b 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

sample756.0ms

Algorithm
intervals
Results
475.0ms9653×body80valid
32.0ms211×body640valid
18.0ms90×body1280valid
17.0ms148×body320valid
10.0ms94×body160valid