Details

Time bar (total: 3.5s)

sample20.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize5.0ms

Local error

Found 1 expressions with local error:

11.1b
(/ (* a1 a2) (* b1 b2))

rewrite13.0ms

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 add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
12.0ms
(/ (* a1 a2) (* b1 b2))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune40.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
23.0ms
(* (/ a1 b1) (/ a2 b2))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* (/ a1 b1) (/ a2 b2))

simplify38.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0319278
11415243
25001242

prune109.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
1.5b
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2)))
5.5b
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
162×add-exp-log
92×add-cbrt-cube
76×prod-exp cbrt-unprod
50×cbrt-undiv times-frac div-exp
47×add-sqr-sqrt
45×associate-*r*
42×cbrt-prod
39×add-cube-cbrt *-un-lft-identity
14×associate-*l*
11×pow1
6×frac-times associate-*l/
4×associate-*r/ pow-prod-down add-log-exp unswap-sqr
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 178
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
144.0ms
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2)))
47.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt a2)
170.0ms
(cbrt a2)
25.0ms
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2)))
86.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))))

simplify42.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010462595
150021878

prune486.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
3.4b
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
5.8b
(* (/ (cbrt a1) b1) (/ a2 b2))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
126×add-exp-log
67×add-cbrt-cube
59×prod-exp
47×add-sqr-sqrt
44×div-exp
37×times-frac
36×cbrt-unprod
29×associate-*l*
28×add-cube-cbrt *-un-lft-identity
26×cbrt-undiv
17×cbrt-prod
14×associate-*r*
11×pow1
10×1-exp
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
52.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
29.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

series543.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt a1)
184.0ms
(cbrt a1)
56.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
136.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

simplify108.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07541258
13932978
25001867

prune295.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes360.0ms

Accuracy

70.2% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 8.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04945
14945

end0.0ms

sample540.0ms

Algorithm
intervals
Results
213.0ms10093×body80valid