Details

Time bar (total: 4.2s)

sample19.0ms

Algorithm
intervals
Results
7.0ms297×body80valid
1.0ms11×body640valid
0.0ms5×body320valid
0.0ms5×body160valid
0.0ms1×body1280valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

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))

rewrite8.0ms

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:
8.0ms
(* d1 (+ (+ 3.0 d2) d3))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify90.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune49.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt d1) (cbrt d1))
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
2.0ms
(cbrt d1)

series835.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt d1) (cbrt d1))
227.0ms
(cbrt d1)
191.0ms
(cbrt d1)
190.0ms
(cbrt d1)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune219.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)))

rewrite38.0ms

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:
5.0ms
(sqrt (+ (+ 3.0 d2) d3))
5.0ms
(sqrt (+ (+ 3.0 d2) d3))
9.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
16.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ (+ 3.0 d2) d3))
46.0ms
(sqrt (+ (+ 3.0 d2) d3))
76.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
31.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify47.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0347751
11439655
25001635

prune220.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
0.2b
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.2b
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
0.5b
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
284×sqrt-div
210×cbrt-div
168×frac-times
142×flip3-+ flip-+
134×associate-*r/
76×*-un-lft-identity
68×cbrt-prod
60×associate-*l/
51×sqrt-prod
48×add-sqr-sqrt
43×pow1
38×add-exp-log
31×associate-*r*
30×distribute-lft-out
24×pow-prod-down
23×prod-exp add-cbrt-cube cbrt-unprod
22×add-cube-cbrt
19×swap-sqr
16×associate-*l*
11×unswap-sqr
6×pow1/3
4×*-commutative add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 265
Calls
4 calls:
41.0ms
(* (* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
9.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
27.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
17.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

series492.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
95.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
234.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
113.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

simplify177.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
011586475
147515992
250015938

prune971.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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

sample501.0ms

Algorithm
intervals
Results
246.0ms9604×body80valid
23.0ms223×body640valid
10.0ms152×body320valid
10.0ms88×body1280valid
5.0ms100×body160valid