Details

Time bar (total: 1.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms314×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: 11.7b

localize5.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series32.0ms

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

simplify31.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0160124
193689
2500189

prune38.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* b1 b2) a2)
5.7b
(/ a1 (/ (* b1 b2) a2))

rewrite10.0ms

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*
cbrt-undiv div-exp
div-inv
associate-/l*
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
associate-/r/
Counts
2 → 69
Calls
2 calls:
3.0ms
(/ (* b1 b2) a2)
5.0ms
(/ a1 (/ (* b1 b2) a2))

series50.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* b1 b2) a2)
31.0ms
(/ a1 (/ (* b1 b2) a2))

simplify38.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0292397
11409353
25002350

prune149.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.8b
(* (/ a1 (* b1 b2)) a2)
6.1b
(/ a1 (* b1 b2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*l*
times-frac
prod-exp cbrt-unprod
pow1 cbrt-undiv div-exp
associate-*r* associate-/l*
div-inv add-log-exp
frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
13.0ms
(* (/ a1 (* b1 b2)) a2)
3.0ms
(/ a1 (* b1 b2))

series51.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (/ a1 (* b1 b2)) a2)
20.0ms
(/ a1 (* b1 b2))

simplify32.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201228
1950184
25001184

prune97.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.3b
(* (/ 1 b1) (/ a1 b2))
5.8b
(* (* (/ 1 b1) (/ a1 b2)) a2)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*r*
14×associate-*l*
13×cbrt-unprod
pow1
cbrt-undiv
unswap-sqr
associate-*l/
rec-exp 1-exp pow-prod-down
frac-times associate-*r/ *-commutative div-inv add-log-exp
Counts
2 → 87
Calls
2 calls:
14.0ms
(* (/ 1 b1) (/ a1 b2))
23.0ms
(* (* (/ 1 b1) (/ a1 b2)) a2)

series50.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (/ 1 b1) (/ a1 b2))
31.0ms
(* (* (/ 1 b1) (/ a1 b2)) a2)

simplify57.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0448490
12079375
25002369

prune141.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes348.0ms

Accuracy

74.2% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 11.2b

bsearch1.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03229
13529
24118
34418
45018
56118
66818
76918
86918

end0.0ms

sample456.0ms

Algorithm
intervals
Results
223.0ms10023×body80valid