Details

Time bar (total: 15.6s)

sample150.0ms

Algorithm
intervals
Results
23.0ms372×body80valid

simplify1.9s

Counts
1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2150310427208497.0 2251799813685248.0) (* (/ 4647935950575487.0 3.602879701896397e+16) (* x x)))
0.1b
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ 4647935950575487.0 3.602879701896397e+16) (* x x))))
0.2b
(* (/ 4647935950575487.0 3.602879701896397e+16) (* x x))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-sqr-sqrt add-cbrt-cube
16×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×pow1 times-frac
7×prod-exp cbrt-unprod
5×add-log-exp
4×associate-*r* pow-prod-down
3×sub-neg associate-*r/ associate-*l/ unswap-sqr
2×cbrt-undiv distribute-rgt-in flip3-- distribute-lft-in div-exp *-commutative frac-sub flip--
1×diff-log div-inv
Counts
3 → 73
Calls
3 calls:
54.0ms
(- (/ 2150310427208497.0 2251799813685248.0) (* (/ 4647935950575487.0 3.602879701896397e+16) (* x x)))
137.0ms
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ 4647935950575487.0 3.602879701896397e+16) (* x x))))
68.0ms
(* (/ 4647935950575487.0 3.602879701896397e+16) (* x x))

series272.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- (/ 2150310427208497.0 2251799813685248.0) (* (/ 4647935950575487.0 3.602879701896397e+16) (* x x)))
149.0ms
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ 4647935950575487.0 3.602879701896397e+16) (* x x))))
45.0ms
(* (/ 4647935950575487.0 3.602879701896397e+16) (* x x))

simplify790.0ms

Counts
82 → 82

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (/ 2150310427208497.0 2251799813685248.0)) (- (* (/ 4647935950575487.0 3.602879701896397e+16) (pow x 3))))
0.1b
(* (/ 4647935950575487.0 3.602879701896397e+16) (pow x 3))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
15×add-exp-log
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity associate-*r*
8×unswap-sqr
7×add-cbrt-cube
6×prod-exp add-log-exp
5×unpow-prod-down cube-prod
3×div-exp sqr-pow
2×pow1 pow-to-exp associate-*l/ pow-exp sum-log cbrt-unprod
1×cbrt-undiv +-commutative neg-sub0 cube-mult associate-+r- flip3-+ unpow3 associate-*r/ unsub-neg neg-log frac-add *-commutative flip-+ div-inv distribute-neg-frac
Counts
2 → 66
Calls
2 calls:
27.0ms
(+ (* x (/ 2150310427208497.0 2251799813685248.0)) (- (* (/ 4647935950575487.0 3.602879701896397e+16) (pow x 3))))
39.0ms
(* (/ 4647935950575487.0 3.602879701896397e+16) (pow x 3))

series203.0ms

Counts
2 → 6
Calls
2 calls:
149.0ms
(+ (* x (/ 2150310427208497.0 2251799813685248.0)) (- (* (/ 4647935950575487.0 3.602879701896397e+16) (pow x 3))))
55.0ms
(* (/ 4647935950575487.0 3.602879701896397e+16) (pow x 3))

simplify1.0s

Counts
72 → 72

prune215.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x))))
0.1b
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x)))))
0.2b
(* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x))
1.1b
(* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x)))

rewrite421.0ms

Algorithm
rewrite-expression-head
Rules
128×add-exp-log
72×prod-exp
69×add-cbrt-cube
45×cbrt-unprod
32×div-exp associate-*l*
28×add-sqr-sqrt
23×times-frac
21×add-cube-cbrt *-un-lft-identity
20×pow1
18×cbrt-undiv
10×cbrt-prod 1-exp pow-prod-down associate-*l/
8×associate-*r/
6×frac-sub add-log-exp
5×associate-*r*
4×unswap-sqr
3×frac-times sub-neg *-commutative
2×distribute-rgt-in flip3-- distribute-lft-in flip-- div-inv
1×diff-log
Counts
4 → 149
Calls
4 calls:
92.0ms
(- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x))))
159.0ms
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x)))))
36.0ms
(* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x))
118.0ms
(* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x)))

series720.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x))))
287.0ms
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x)))))
77.0ms
(* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x))
137.0ms
(* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (cbrt 4647935950575487.0) 3.602879701896397e+16) (* x x)))

simplify1.9s

Counts
161 → 161

prune510.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))))))
0.2b
(* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x)))
0.3b
(* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))
1.1b
(* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
368×add-exp-log
229×add-cbrt-cube
216×prod-exp
139×cbrt-unprod
133×sqrt-prod
126×associate-*l*
117×times-frac
100×div-exp
97×add-sqr-sqrt
82×add-cube-cbrt *-un-lft-identity
60×cbrt-undiv
38×cbrt-prod
34×pow1
22×1-exp
20×associate-*r/ pow-prod-down
18×associate-*l/
11×frac-times
8×unswap-sqr
7×frac-sub
6×associate-*r*
4×*-commutative add-log-exp
3×div-inv
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- flip--
Counts
4 → 324
Calls
4 calls:
463.0ms
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))))))
159.0ms
(* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x)))
72.0ms
(* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))
424.0ms
(* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
494.0ms
(* x (- (/ 2150310427208497.0 2251799813685248.0) (* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))))))
205.0ms
(* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x)))
189.0ms
(* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))
238.0ms
(* (/ (* (cbrt 4647935950575487.0) (cbrt 4647935950575487.0)) 1) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* (/ (sqrt (cbrt 4647935950575487.0)) (sqrt 3.602879701896397e+16)) (* x x))))

simplify797.0ms

Counts
336 → 336

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.2s

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s11905×body80valid