Details

Time bar (total: 8.5s)

sample32.0ms

Algorithm
intervals
Results
18.0ms313×body80valid
1.0ms6×body640valid
1.0ms5×body320valid
0.0ms3×body160valid
0.0ms1×body1280valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune13.0ms

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))

rewrite38.0ms

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:
38.0ms
(* d1 (+ (+ 3.0 d2) d3))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
29×*-un-lft-identity
28×frac-times
20×cbrt-prod
14×associate-*l/
13×pow1 add-exp-log
12×distribute-lft-out
9×add-sqr-sqrt add-cube-cbrt
8×associate-*r* add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 97
Calls
4 calls:
250.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
8.0ms
(cbrt (+ (+ 3.0 d2) d3))
9.0ms
(cbrt (+ (+ 3.0 d2) d3))
8.0ms
(cbrt (+ (+ 3.0 d2) d3))

series63.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
17.0ms
(cbrt (+ (+ 3.0 d2) d3))
17.0ms
(cbrt (+ (+ 3.0 d2) d3))
18.0ms
(cbrt (+ (+ 3.0 d2) d3))

simplify55.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04831526
116721364
250021313

prune748.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(* (* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))) (cbrt (cbrt (+ (+ 3.0 d2) d3))))
0.4b
(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
0.4b
(cbrt (cbrt (+ (+ 3.0 d2) d3)))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
1214×cbrt-div
572×frac-times
413×flip3-+ flip-+
352×associate-*r/
214×associate-*l/
32×cbrt-prod
25×*-un-lft-identity
18×pow1 add-exp-log
11×associate-*r*
10×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
9×add-cbrt-cube distribute-lft-out
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 324
Calls
4 calls:
8.0ms
(cbrt (+ (+ 3.0 d2) d3))
914.0ms
(* (* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))) (cbrt (cbrt (+ (+ 3.0 d2) d3))))
21.0ms
(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
8.0ms
(cbrt (cbrt (+ (+ 3.0 d2) d3)))

series75.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (+ (+ 3.0 d2) d3))
9.0ms
(* (* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))) (cbrt (cbrt (+ (+ 3.0 d2) d3))))
30.0ms
(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
18.0ms
(cbrt (cbrt (+ (+ 3.0 d2) d3)))

simplify132.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0199713119
1500112971

prune3.9s

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))
3.6b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.6b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
17.8b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite89.0ms

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:
15.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
29.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
32.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series62.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
7.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
22.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
32.0ms
(/ (* 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

prune671.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes181.0ms

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

sample788.0ms

Algorithm
intervals
Results
479.0ms9656×body80valid
37.0ms188×body640valid
24.0ms102×body1280valid
23.0ms164×body320valid
10.0ms82×body160valid