Details

Time bar (total: 2.8s)

sample20.0ms

Algorithm
intervals
Results
7.0ms307×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: 13.5b

localize6.0ms

Local error

Found 1 expressions with local error:

13.2b
(/ (* 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:
30.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

10.2b
(* (/ a1 b1) (/ a2 b2))

rewrite25.0ms

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:
23.0ms
(* (/ a1 b1) (/ a2 b2))

series30.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0321286
11417251
25001250

prune111.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
4.1b
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
6.1b
(* (/ (cbrt a1) b1) (/ a2 b2))

rewrite90.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 156
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
53.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
27.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

series570.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt a1)
176.0ms
(cbrt a1)
59.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
154.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

simplify91.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07601296
13944990
25001905

prune329.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ (/ a2 b2) b1)
6.6b
(* a1 (/ (/ a2 b2) b1))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 139
Calls
2 calls:
10.0ms
(/ (/ a2 b2) b1)
27.0ms
(* a1 (/ (/ a2 b2) b1))

series52.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (/ a2 b2) b1)
32.0ms
(* a1 (/ (/ a2 b2) b1))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0551847
12548795
25002795

prune323.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes315.0ms

Accuracy

69% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 7.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04438
14438

end0.0ms

sample567.0ms

Algorithm
intervals
Results
225.0ms10014×body80valid