Details

Time bar (total: 13.4s)

sample33.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify18.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize8.0ms

Local error

Found 1 expressions with local error:

16.7b
(cbrt (/ g (* 2 a)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
1×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 19
Calls
1 calls:
Slowest
3.0ms
(cbrt (/ g (* 2 a)))

series114.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
114.0ms
(cbrt (/ g (* 2 a)))

simplify913.0ms

Counts
22 → 22

prune237.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt (/ 1/2 a))
0.6b
(cbrt g)
0.3b
(* (cbrt g) (cbrt (/ 1/2 a)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
35×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
20×times-frac
16×associate-*r*
6×associate-*l* unswap-sqr
5×pow1 add-exp-log
4×pow1/3
3×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 83
Calls
3 calls:
Slowest
9.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
4.0ms
(cbrt (/ 1/2 a))
1.0ms
(cbrt g)

series750.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
307.0ms
(cbrt (/ 1/2 a))
292.0ms
(cbrt g)
151.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))

simplify2.5s

Counts
92 → 92

prune910.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt g)
0.6b
(cbrt (/ 1 a))
0.5b
(* (cbrt g) (cbrt 1/2))
0.4b
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
32×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
22×associate-*r*
18×times-frac
11×pow1 add-exp-log
7×pow1/3 associate-*l* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-div *-commutative div-inv
1×associate-*r/
Counts
4 → 106
Calls
4 calls:
Slowest
31.0ms
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))
7.0ms
(* (cbrt g) (cbrt 1/2))
1.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
344.0ms
(* (cbrt g) (cbrt 1/2))
320.0ms
(cbrt g)
287.0ms
(cbrt (/ 1 a))
152.0ms
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))

simplify1.2s

Counts
118 → 118

prune1.0s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt 1/2) (cbrt 1/2))
0.6b
(cbrt (* (* g (* (cbrt 1/2) (cbrt 1/2))) (cbrt 1/2)))
0.6b
(cbrt (/ 1 a))
0.4b
(* (* g (* (cbrt 1/2) (cbrt 1/2))) (cbrt 1/2))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
29×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
20×pow1
15×add-exp-log
12×associate-*r*
9×times-frac
8×add-cbrt-cube pow1/3 pow-prod-down
7×associate-*l* prod-exp cbrt-unprod
6×swap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 cbrt-div pow-plus div-inv
Counts
4 → 107
Calls
4 calls:
Slowest
95.0ms
(* (* g (* (cbrt 1/2) (cbrt 1/2))) (cbrt 1/2))
54.0ms
(cbrt (* (* g (* (cbrt 1/2) (cbrt 1/2))) (cbrt 1/2)))
11.0ms
(* (cbrt 1/2) (cbrt 1/2))
3.0ms
(cbrt (/ 1 a))

series797.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
337.0ms
(cbrt (* (* g (* (cbrt 1/2) (cbrt 1/2))) (cbrt 1/2)))
327.0ms
(cbrt (/ 1 a))
133.0ms
(* (* g (* (cbrt 1/2) (cbrt 1/2))) (cbrt 1/2))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))

simplify1.3s

Counts
117 → 117

prune1.2s

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch5.0ms

end0.0ms

sample762.0ms

Algorithm
intervals
Results
544.0ms8000×body80valid