Details

Time bar (total: 6.4s)

sample20.0ms

Algorithm
intervals
Results
7.0ms335×body80valid

simplify8.0ms

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: 12.8b

localize5.0ms

Local error

Found 1 expressions with local error:

12.5b
(/ (* 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))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* a1 a2) (* b1 b2))

simplify26.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune38.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

5.1b
(/ (* b1 b2) a2)
6.6b
(/ a1 (/ (* b1 b2) a2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
9.0ms
(/ (* b1 b2) a2)
9.0ms
(/ a1 (/ (* b1 b2) a2))

series44.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (* b1 b2) a2)
28.0ms
(/ a1 (/ (* b1 b2) a2))

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0292397
11409353
25002350

prune137.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

5.1b
(* (/ 1 b1) (/ a1 (/ b2 a2)))
6.5b
(/ a1 (/ b2 a2))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
44×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/r*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 166
Calls
2 calls:
38.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))
8.0ms
(/ a1 (/ b2 a2))

series46.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))
18.0ms
(/ a1 (/ b2 a2))

simplify83.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07881121
13776991
25003971

prune364.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
2.1b
(/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1)
2.3b
(/ (cbrt a1) (/ (cbrt b2) a2))
3.6b
(* (/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1) (/ (cbrt a1) (/ (cbrt b2) a2)))

rewrite520.0ms

Algorithm
rewrite-expression-head
Rules
1759×times-frac
953×add-sqr-sqrt
670×add-cube-cbrt *-un-lft-identity
666×cbrt-prod
199×associate-*l*
137×associate-*r*
98×add-exp-log
71×associate-/l*
66×div-inv
56×unswap-sqr
54×cbrt-undiv div-exp
52×add-cbrt-cube
25×associate-/r*
19×prod-exp cbrt-unprod
9×associate-/r/
6×pow1
4×add-log-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 902
Calls
4 calls:
1.0ms
(cbrt b2)
32.0ms
(/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1)
13.0ms
(/ (cbrt a1) (/ (cbrt b2) a2))
398.0ms
(* (/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1) (/ (cbrt a1) (/ (cbrt b2) a2)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt b2)
112.0ms
(/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1)
107.0ms
(/ (cbrt a1) (/ (cbrt b2) a2))
28.0ms
(* (/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1) (/ (cbrt a1) (/ (cbrt b2) a2)))

simplify182.0ms

Algorithm
egg-herbie
Counts
914 → 914
Iterations

Useful iterations: 1 (58.0ms)

IterNodesCost
0360313926
1500113675

prune3.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes314.0ms

Accuracy

31.9% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04440
14440

end0.0ms

sample555.0ms

Algorithm
intervals
Results
215.0ms9975×body80valid