Details

Time bar (total: 3.1s)

sample29.0ms

Algorithm
intervals
Results
17.0ms323×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: 12.7b

localize5.0ms

Local error

Found 1 expressions with local error:

12.3b
(/ (* 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:
5.0ms
(/ (* a1 a2) (* b1 b2))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

9.0b
(* (/ a1 b1) (/ a2 b2))

rewrite16.0ms

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:
14.0ms
(* (/ a1 b1) (/ a2 b2))

series30.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0321286
11417251
25001250

prune116.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
4.4b
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
5.3b
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
31×add-sqr-sqrt
26×times-frac
23×add-cube-cbrt *-un-lft-identity
22×associate-*r*
17×prod-exp cbrt-unprod
16×cbrt-prod
13×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* div-inv unswap-sqr
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 113
Calls
4 calls:
0.0ms
(cbrt a2)
0.0ms
(cbrt a2)
11.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
46.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

series539.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt a2)
172.0ms
(cbrt a2)
122.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
60.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

simplify82.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05521006
13203784
25001724

prune312.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* (cbrt (/ a1 b1)) (cbrt (/ a1 b1))) (* (cbrt (/ a1 b1)) (/ a2 b2)))
13.5b
(cbrt (/ a1 b1))
13.5b
(cbrt (/ a1 b1))
13.5b
(cbrt (/ a1 b1))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×cbrt-div times-frac
25×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×frac-times
16×pow1
15×add-cbrt-cube
13×prod-exp cbrt-unprod
11×associate-*r/ associate-*l/
8×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 115
Calls
4 calls:
40.0ms
(* (* (cbrt (/ a1 b1)) (cbrt (/ a1 b1))) (* (cbrt (/ a1 b1)) (/ a2 b2)))
1.0ms
(cbrt (/ a1 b1))
1.0ms
(cbrt (/ a1 b1))
2.0ms
(cbrt (/ a1 b1))

series219.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* (cbrt (/ a1 b1)) (cbrt (/ a1 b1))) (* (cbrt (/ a1 b1)) (/ a2 b2)))
65.0ms
(cbrt (/ a1 b1))
59.0ms
(cbrt (/ a1 b1))
67.0ms
(cbrt (/ a1 b1))

simplify49.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0381975
11266812
25002747

prune303.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes376.0ms

Accuracy

67.2% (3.8b remaining)

Error of 3.8b against oracle of 0.0b and baseline of 11.5b

bsearch2.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02827
13127
23718
34018
44618
55718
66418
76518
86518

end0.0ms

sample736.0ms

Algorithm
intervals
Results
472.0ms10037×body80valid