Details

Time bar (total: 3.9s)

sample25.0ms

Algorithm
intervals
Results
14.0ms308×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize6.0ms

Local error

Found 1 expressions with local error:

12.7b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* a1 a2) (* b1 b2))

simplify31.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0162132
193897
2500197

prune54.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

9.3b
(* (/ a1 b1) (/ a2 b2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
19.0ms
(* (/ a1 b1) (/ a2 b2))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (/ a1 b1) (/ a2 b2))

simplify41.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0321286
11417251
25001250

prune145.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
0.6b
(cbrt a2)
6.0b
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×add-sqr-sqrt
18×prod-exp cbrt-unprod
15×add-cube-cbrt *-un-lft-identity
14×times-frac
13×cbrt-undiv div-exp associate-*l*
9×cbrt-prod
6×pow1
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
27.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt a2)
177.0ms
(cbrt a2)
178.0ms
(cbrt a2)
100.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0489863
12331662
25001599

prune342.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.9b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
6.0b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
68×add-sqr-sqrt
57×add-exp-log
41×add-cube-cbrt *-un-lft-identity
40×add-cbrt-cube
23×cbrt-undiv div-exp
22×associate-*r*
18×cbrt-prod
17×associate-*l*
16×prod-exp cbrt-unprod
13×associate-/l*
9×unswap-sqr
6×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 156
Calls
4 calls:
0.0ms
(cbrt b2)
0.0ms
(cbrt b2)
8.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
38.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt b2)
193.0ms
(cbrt b2)
114.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
75.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify94.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07431409
138131151
250011087

prune444.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes483.0ms

Accuracy

80.5% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 8.1b

bsearch2.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
04159
14659
25228
35528
46128
57228
67928
78028
88028

end0.0ms

sample699.0ms

Algorithm
intervals
Results
441.0ms9965×body80valid