Details

Time bar (total: 3.6s)

sample29.0ms

Algorithm
intervals
Results
18.0ms302×body80valid

simplify9.0ms

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: 11.5b

localize6.0ms

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 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))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune50.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

4.8b
(/ (* a1 a2) b1)
7.1b
(/ (/ (* a1 a2) b1) b2)

rewrite11.0ms

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)
5.0ms
(/ (/ (* a1 a2) b1) b2)

series52.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
33.0ms
(/ (/ (* a1 a2) b1) b2)

simplify40.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0305406
11333361
25002361

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
4.6b
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
5.2b
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ (/ 1 b1) (cbrt b2)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
131×add-exp-log
98×add-sqr-sqrt
82×associate-*r*
78×*-un-lft-identity
76×add-cube-cbrt
59×add-cbrt-cube
54×div-exp
49×prod-exp
48×cbrt-prod
31×cbrt-undiv cbrt-unprod
div-inv
unswap-sqr
pow1
rec-exp 1-exp associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 197
Calls
4 calls:
0.0ms
(cbrt b2)
0.0ms
(cbrt b2)
5.0ms
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
49.0ms
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ (/ 1 b1) (cbrt b2)))

series545.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt b2)
185.0ms
(cbrt b2)
120.0ms
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
62.0ms
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ (/ 1 b1) (cbrt b2)))

simplify44.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011522164
150011753

prune546.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ a1 (/ b1 a2))
7.1b
(/ (/ a1 (/ b1 a2)) b2)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×associate-/l*
22×div-inv
16×add-exp-log associate-/r* add-cbrt-cube
cbrt-undiv div-exp
associate-/r/
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 270
Calls
2 calls:
5.0ms
(/ a1 (/ b1 a2))
19.0ms
(/ (/ a1 (/ b1 a2)) b2)

series54.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ a1 (/ b1 a2))
28.0ms
(/ (/ a1 (/ b1 a2)) b2)

simplify105.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011172347
148602258
250012258

prune703.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes320.0ms

Accuracy

56.2% (4.7b remaining)

Error of 4.7b against oracle of 0.0b and baseline of 10.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03631
13631

end0.0ms

sample767.0ms

Algorithm
intervals
Results
516.0ms10010×body80valid