Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms325×body80valid
0.0ms2×body160valid
0.0ms1×body640valid
0.0ms1×body320valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0196
1405
21234
32494
43554
53554

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×distribute-lft-out
11×add-log-exp
6×add-sqr-sqrt associate-*r* sum-log
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
34.0ms
(+ d2 (+ (+ d3 5.0) 32.0))
106.0ms
(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series42.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ d2 (+ (+ d3 5.0) 32.0))
28.0ms
(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify34.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213240
1983212
25002212

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ d3 5.0) d1)
0.0b
(+ (* d1 d2) (* (+ d3 5.0) d1))
0.1b
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*l* sum-log
3×flip3-+ associate-*r* flip-+
2×+-commutative associate-*l/
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 45
Calls
3 calls:
10.0ms
(* (+ d3 5.0) d1)
3.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
12.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series104.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (+ d3 5.0) d1)
36.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
40.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0271315
11079281
25001270

prune111.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* d1 d2) (* (+ d3 5.0) d1))) (cbrt (+ (* d1 d2) (* (+ d3 5.0) d1))))
0.6b
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))
0.6b
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))
0.6b
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
18.0ms
(* (cbrt (+ (* d1 d2) (* (+ d3 5.0) d1))) (cbrt (+ (* d1 d2) (* (+ d3 5.0) d1))))
2.0ms
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))
2.0ms
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))
2.0ms
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (+ (* d1 d2) (* (+ d3 5.0) d1))) (cbrt (+ (* d1 d2) (* (+ d3 5.0) d1))))
135.0ms
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))
126.0ms
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))
130.0ms
(cbrt (+ (* d1 d2) (* (+ d3 5.0) d1)))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03811445
112101341
250021216

prune308.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
2.0b
(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
3.8b
(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
25.4b
(/ (* 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)))))

rewrite532.0ms

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:
27.0ms
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
70.0ms
(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
252.0ms
(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
176.0ms
(/ (* 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)))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
55.0ms
(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
153.0ms
(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
192.0ms
(/ (* 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)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
08691987
147941674
250021665

prune355.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes98.0ms

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
278.0ms10099×body80valid
1.0ms14×body640valid
1.0ms6×body1280valid
1.0ms8×body320valid
0.0ms8×body160valid