Details

Time bar (total: 19.2s)

sample51.0ms

Algorithm
intervals
Results
31.0ms327×body80valid

simplify135.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize19.0ms

Local error

Found 1 expressions with local error:

10.8b
(/ (* a1 a2) (* b1 b2))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
cbrt-undiv div-exp prod-exp cbrt-unprod
add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
18.0ms
(/ (* a1 a2) (* b1 b2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
33.0ms
(/ (* a1 a2) (* b1 b2))

simplify4.5s

Counts
27 → 27

prune293.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

10.8b
(/ (* a1 a2) (* b2 b1))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
cbrt-undiv div-exp prod-exp cbrt-unprod
add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
22.0ms
(/ (* a1 a2) (* b2 b1))

series35.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(/ (* a1 a2) (* b2 b1))

simplify3.8s

Counts
27 → 27

prune372.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

6.7b
(/ (/ (* a1 a2) b2) b1)
4.6b
(/ (* a1 a2) b2)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 75
Calls
2 calls:
Slowest
22.0ms
(/ (/ (* a1 a2) b2) b1)
14.0ms
(/ (* a1 a2) b2)

series61.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
32.0ms
(/ (/ (* a1 a2) b2) b1)
29.0ms
(/ (* a1 a2) b2)

simplify1.8s

Counts
81 → 81

prune826.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

7.7b
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 b2) (cbrt b1)))
2.3b
(/ (/ a2 b2) (cbrt b1))
0.6b
(* (cbrt b1) (cbrt b1))
0.5b
(cbrt b1)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
201×add-sqr-sqrt
161×*-un-lft-identity add-cube-cbrt
104×cbrt-prod
88×associate-*r*
47×add-exp-log
31×add-cbrt-cube
18×cbrt-undiv div-exp
16×div-inv
14×unswap-sqr
13×pow1 associate-*l* prod-exp cbrt-unprod associate-/l*
pow1/3
associate-/r* swap-sqr
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow-prod-down
pow-sqr *-commutative pow-prod-up
pow2 frac-times clear-num frac-2neg pow-plus associate-*l/ associate-*r/ associate-/l/
Counts
4 → 304
Calls
4 calls:
Slowest
52.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 b2) (cbrt b1)))
17.0ms
(/ (/ a2 b2) (cbrt b1))
16.0ms
(* (cbrt b1) (cbrt b1))
1.0ms
(cbrt b1)

series782.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
310.0ms
(* (cbrt b1) (cbrt b1))
282.0ms
(cbrt b1)
96.0ms
(/ (/ a2 b2) (cbrt b1))
95.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 b2) (cbrt b1)))

simplify511.0ms

Counts
316 → 316

prune3.9s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes630.0ms

Accuracy

52.4% (4.8b remaining)

Error of 4.9b against oracle of 0.1b and baseline of 10.2b

bsearch10.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
818.0ms10078×body80valid