Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
7.0ms321×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: 11.5b

localize5.0ms

Local error

Found 1 expressions with local error:

11.1b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:
4.0ms
(/ (* 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 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune43.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (* a1 a2) b1)
6.0b
(/ (/ (* a1 a2) b1) b2)

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

series48.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (* a1 a2) b1)
30.0ms
(/ (/ (* a1 a2) b1) b2)

simplify35.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0301392
11329347
25001347

prune143.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ (/ a2 b1) b2)
6.0b
(* a1 (/ (/ a2 b1) b2))

rewrite30.0ms

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×add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 135
Calls
2 calls:
5.0ms
(/ (/ a2 b1) b2)
18.0ms
(* a1 (/ (/ a2 b1) b2))

series50.0ms

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

simplify57.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0546833
12545781
25001781

prune337.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ b1 (* a1 a2)))
5.0b
(/ b1 (* a1 a2))
6.0b
(/ (/ 1 (/ b1 (* a1 a2))) b2)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
61×add-exp-log
36×div-exp
32×associate-/l*
31×add-cbrt-cube
23×div-inv
16×cbrt-undiv
11×associate-/r*
7×prod-exp
6×rec-exp 1-exp
5×associate-/r/
4×pow1
3×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 209
Calls
3 calls:
6.0ms
(/ 1 (/ b1 (* a1 a2)))
3.0ms
(/ b1 (* a1 a2))
16.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

series73.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 1 (/ b1 (* a1 a2)))
19.0ms
(/ b1 (* a1 a2))
28.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

simplify71.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07731607
134971389
250031234

prune269.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes342.0ms

Accuracy

48.8% (5.8b remaining)

Error of 5.8b against oracle of 0.0b and baseline of 11.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03421
13721
24021
34021

end0.0ms

sample475.0ms

Algorithm
intervals
Results
230.0ms10053×body80valid