Details

Time bar (total: 2.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms310×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: 12.6b

localize5.0ms

Local error

Found 1 expressions with local error:

12.2b
(/ (* 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 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:
12.0ms
(/ (* a1 a2) (* b1 b2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune48.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

9.6b
(* (/ a1 b1) (/ a2 b2))

rewrite27.0ms

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:
25.0ms
(* (/ a1 b1) (/ a2 b2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (/ a1 b1) (/ a2 b2))

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0321286
11417251
25001250

prune119.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
2.7b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
5.7b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite83.0ms

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:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
18.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
58.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series552.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt b2)
181.0ms
(cbrt b2)
113.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
75.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify85.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07431409
138131151
250011087

prune423.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

4.4b
(* (/ a1 b1) a2)
6.6b
(/ (* (/ a1 b1) a2) b2)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r* associate-/r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
14.0ms
(* (/ a1 b1) a2)
13.0ms
(/ (* (/ a1 b1) a2) b2)

series57.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (/ a1 b1) a2)
30.0ms
(/ (* (/ a1 b1) a2) b2)

simplify37.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0256272
11257228
25002228

prune114.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes390.0ms

Accuracy

67.9% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 10.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03337
13337

end0.0ms

sample529.0ms

Algorithm
intervals
Results
209.0ms9995×body80valid