Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms321×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
cbrt-undiv div-exp prod-exp cbrt-unprod
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:
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
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0162132
193897
2500197

prune57.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* 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
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0305406
11333361
25002361

prune151.0ms

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))

rewrite33.0ms

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*
div-inv
cbrt-undiv div-exp
pow1
associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 139
Calls
2 calls:
8.0ms
(/ (/ a2 b1) b2)
18.0ms
(* a1 (/ (/ a2 b1) b2))

series46.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ a2 b1) b2)
26.0ms
(* a1 (/ (/ a2 b1) b2))

simplify57.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0550847
12549795
25001795

prune320.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)

rewrite32.0ms

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*
prod-exp
rec-exp 1-exp
associate-/r/
pow1
expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
pow-flip associate-/l/ inv-pow
Counts
3 → 215
Calls
3 calls:
6.0ms
(/ 1 (/ b1 (* a1 a2)))
3.0ms
(/ b1 (* a1 a2))
13.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

series81.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ 1 (/ b1 (* a1 a2)))
20.0ms
(/ b1 (* a1 a2))
32.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

simplify71.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
07791631
135031413
250021258

prune300.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes306.0ms

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

sample474.0ms

Algorithm
intervals
Results
231.0ms10053×body80valid