Details

Time bar (total: 4.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms303×body80valid
1.0ms10×body640valid
0.0ms6×body160valid
0.0ms4×body320valid
0.0ms2×body1280valid

simplify10.0ms

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))

rewrite78.0ms

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:
76.0ms
(* d1 (+ (+ 3.0 d2) d3))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify89.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite680.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
70×cbrt-div
51×cbrt-prod
35×flip3-+ flip-+
34×associate-*r/
33×distribute-lft-out
32×frac-times
24×add-sqr-sqrt
20×pow1
16×add-cube-cbrt associate-*r* associate-*l/
15×add-exp-log
14×swap-sqr
9×associate-*l*
8×pow1/3 pow-prod-down add-cbrt-cube
7×prod-exp cbrt-unprod
4×add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 142
Calls
4 calls:
16.0ms
(cbrt (+ (+ 3.0 d2) d3))
15.0ms
(cbrt (+ (+ 3.0 d2) d3))
133.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
507.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (+ (+ 3.0 d2) d3))
91.0ms
(cbrt (+ (+ 3.0 d2) d3))
89.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
31.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

simplify79.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05881998
122731812
250031669

prune631.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

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)))

rewrite272.0ms

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:
31.0ms
(sqrt (+ (+ 3.0 d2) d3))
30.0ms
(sqrt (+ (+ 3.0 d2) d3))
70.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
138.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (+ (+ 3.0 d2) d3))
33.0ms
(sqrt (+ (+ 3.0 d2) d3))
66.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
27.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify53.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0347749
11459655
25001635

prune323.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

3.6b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.1b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
15.7b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×distribute-rgt-in add-cube-cbrt distribute-lft-in
6×times-frac associate--l+ associate-/r*
5×pow1 add-log-exp
4×flip3-- associate-*r/ associate-*r* flip-- distribute-lft-out-- difference-of-squares
3×sub-neg associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 75
Calls
3 calls:
20.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
68.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
71.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series200.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
71.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
91.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0397780
11962664
25001607

prune292.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes62.0ms

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

sample533.0ms

Algorithm
intervals
Results
277.0ms9634×body80valid
23.0ms223×body640valid
12.0ms154×body320valid
12.0ms90×body1280valid
4.0ms75×body160valid