Details

Time bar (total: 3.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms322×body80valid
0.0ms1×body640valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0196
1405
21234
32494
43554
53554

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
6×associate-*r* distribute-lft-out
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
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 → 25
Calls
1 calls:
104.0ms
(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify30.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0159148
1838127
25002127

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
3.1b
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
8.8b
(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
16.8b
(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
30×distribute-lft-out
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
11×swap-sqr
9×associate-*r*
8×associate-*l*
7×times-frac associate-/r*
6×flip3-+ associate-*r/ flip-+ distribute-lft-out-- add-log-exp
4×distribute-rgt-in frac-times flip3-- distribute-lft-in flip-- 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/ associate--r+ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 120
Calls
4 calls:
78.0ms
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
3.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
10.0ms
(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
60.0ms
(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
38.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
79.0ms
(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
95.0ms
(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

simplify94.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
05581314
130711145
250011126

prune246.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d3 (+ d3 74.0))
3.1b
(- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0))))
8.8b
(* d1 (- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0)))))
16.8b
(/ (* d1 (- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0))))) (- d2 (+ (+ d3 5.0) 32.0)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
20×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt
9×add-log-exp
8×pow1 associate-*r*
7×times-frac associate-/r* distribute-lft-out
6×associate-*r/ associate-*l* distribute-lft-out--
4×flip3-- flip-- difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod
2×cbrt-undiv diff-log div-exp pow-prod-down associate-/r/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg flip3-+ clear-num sum-log flip-+ div-inv associate-/l* associate--r+
Counts
4 → 96
Calls
4 calls:
9.0ms
(* d3 (+ d3 74.0))
6.0ms
(- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0))))
24.0ms
(* d1 (- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0)))))
63.0ms
(/ (* d1 (- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0))))) (- d2 (+ (+ d3 5.0) 32.0)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* d3 (+ d3 74.0))
33.0ms
(- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0))))
83.0ms
(* d1 (- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0)))))
92.0ms
(/ (* d1 (- (* d2 d2) (+ 1369.0 (* d3 (+ d3 74.0))))) (- d2 (+ (+ d3 5.0) 32.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0517911
12527797
25002797

prune242.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.9b
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
4.1b
(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
7.1b
(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
28.1b
(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

rewrite524.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
50×distribute-lft-out
30×associate-*r/
28×flip3-+ flip-+
24×unpow-prod-down cube-prod
17×associate-*r*
16×frac-sub
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×frac-times add-cube-cbrt add-log-exp
6×pow1 associate-*l/
4×sub-div
3×distribute-rgt-in distribute-lft-in times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp associate--l+ associate-/r/ sum-cubes cbrt-unprod associate-/l/ associate--r+
1×+-commutative sub-neg flip3-- distribute-rgt-out-- frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 123
Calls
4 calls:
25.0ms
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
69.0ms
(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
250.0ms
(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
173.0ms
(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

series429.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
59.0ms
(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
148.0ms
(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
190.0ms
(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

simplify127.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
08691987
147941674
250021665

prune357.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1134

end0.0ms

sample486.0ms

Algorithm
intervals
Results
282.0ms10015×body80valid
2.0ms22×body640valid
1.0ms8×body1280valid
1.0ms11×body320valid
0.0ms2×body160valid