Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
7.0ms325×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: 14.1b

localize8.0ms

Local error

Found 1 expressions with local error:

13.7b
(/ (* a1 a2) (* b1 b2))

rewrite14.0ms

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

series30.0ms

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

simplify29.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune42.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

11.0b
(* (/ 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×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
24.0ms
(* (/ a1 b1) (/ a2 b2))

series32.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0319278
11415243
25001242

prune117.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.7b
(* (/ a1 b1) a2)
7.9b
(* (* (/ a1 b1) a2) (/ 1 b2))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
2 → 78
Calls
2 calls:
16.0ms
(* (/ a1 b1) a2)
41.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

series52.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (/ a1 b1) a2)
30.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0402410
12166322
25001297

prune140.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
0.9b
(* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ (cbrt a1) (cbrt b1)) a2))
7.9b
(* (* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ (cbrt a1) (cbrt b1)) a2)) (/ 1 b2))

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
433×add-exp-log
249×prod-exp
159×add-cbrt-cube
143×cbrt-unprod
117×div-exp
67×cbrt-undiv
18×pow1
16×rec-exp 1-exp
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
12×associate-*l/
10×times-frac
9×pow-prod-down
6×cbrt-prod frac-times associate-*l*
4×associate-*r/ add-log-exp
2×pow1/3 *-commutative div-inv
1×un-div-inv
Counts
4 → 200
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
84.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ (cbrt a1) (cbrt b1)) a2))
281.0ms
(* (* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ (cbrt a1) (cbrt b1)) a2)) (/ 1 b2))

series415.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a1)
175.0ms
(cbrt a1)
27.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ (cbrt a1) (cbrt b1)) a2))
32.0ms
(* (* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ (cbrt a1) (cbrt b1)) a2)) (/ 1 b2))

simplify45.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010423404
150022191

prune335.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes459.0ms

Accuracy

64.9% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 8.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04560
14560

end0.0ms

sample608.0ms

Algorithm
intervals
Results
222.0ms10023×body80valid