Details

Time bar (total: 3.9s)

sample36.0ms

Algorithm
intervals
Results
18.0ms325×body80valid
1.0ms6×body320valid
1.0ms3×body640valid
0.0ms1×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
9.0ms
(* d1 (+ (+ 3.0 d2) d3))

series30.0ms

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

simplify103.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune51.0ms

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)

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)
1.0ms
(cbrt d1)

series761.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt d1) (cbrt d1))
184.0ms
(cbrt d1)
180.0ms
(cbrt d1)
185.0ms
(cbrt d1)

simplify101.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune221.0ms

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))

rewrite55.0ms

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:
9.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
13.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
22.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series568.0ms

Counts
4 → 12
Calls
4 calls:
335.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
37.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
87.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
108.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify99.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0538973
12736846
25002842

prune253.0ms

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)))

rewrite71.0ms

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:
9.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
20.0ms
(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
9.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
16.0ms
(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
110.0ms
(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
46.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
79.0ms
(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify64.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
08823320
150013064

prune601.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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

sample483.0ms

Algorithm
intervals
Results
232.0ms9547×body80valid
18.0ms205×body640valid
13.0ms155×body320valid
11.0ms97×body1280valid
4.0ms99×body160valid