Details

Time bar (total: 3.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms325×body80valid
0.0ms6×body320valid
0.0ms3×body640valid
0.0ms1×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite40.0ms

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:
40.0ms
(* d1 (+ (+ 3.0 d2) d3))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify86.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune46.0ms

Filtered
27 candidates to 16 candidates (59.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)

rewrite9.0ms

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))
0.0ms
(cbrt d1)
0.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series781.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt d1) (cbrt d1))
189.0ms
(cbrt d1)
185.0ms
(cbrt d1)
192.0ms
(cbrt d1)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune194.0ms

Filtered
85 candidates to 64 candidates (75.3%)
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))
3.7b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.7b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
18.9b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite93.0ms

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:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
30.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
35.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series250.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
44.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
87.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
102.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify84.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0538973
12736846
25002842

prune233.0ms

Filtered
127 candidates to 77 candidates (60.6%)
Pruning

3 alts after pruning (1 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))
0.3b
(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
3.7b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
21.6b
(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
214×*-un-lft-identity
210×times-frac
139×add-sqr-sqrt
95×add-cube-cbrt
53×difference-of-squares
42×distribute-lft-out--
34×associate-/r*
27×distribute-lft-out
13×add-exp-log add-cbrt-cube
11×pow1 associate-/r/
9×associate-/l*
7×flip3-- flip--
6×flip3-+ swap-sqr flip-+ div-inv add-log-exp
4×cbrt-undiv frac-times div-exp associate-*r* associate-*l*
2×distribute-rgt-in frac-2neg distribute-lft-in associate-*r/ associate-*l/ associate--l+ clear-num associate-/l/
1×pow2 sub-neg pow-plus diff-log div-sub pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 244
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
40.0ms
(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
50.0ms
(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
105.0ms
(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
38.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
78.0ms
(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify57.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08823320
150013064

prune525.0ms

Filtered
256 candidates to 170 candidates (66.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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

sample470.0ms

Algorithm
intervals
Results
233.0ms9547×body80valid
18.0ms205×body640valid
11.0ms97×body1280valid
10.0ms155×body320valid
4.0ms99×body160valid