Details

sample182.0ms

Algorithm

intervals

Results

102.0ms

580×

body

valid

simplify1.2s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
3.9b	(* x (- (* y z) (* t a)))
4.0b	(* j (- (* c a) (* y i)))
5.8b	(* b (- (* c z) (* t i)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

8.0ms	(- (* y z) (* t a))
38.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* j (- (* c a) (* y i)))
75.0ms	(* b (- (* c z) (* t i)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* y z) (* t a))
118.0ms	(* x (- (* y z) (* t a)))
87.0ms	(* j (- (* c a) (* y i)))
114.0ms	(* b (- (* c z) (* t i)))

simplify883.0ms

Counts: 96 → 96

prune672.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.9b

localize45.0ms

Local error

Found 4 expressions with local error:

4.0b	(* j (- (* c a) (* y i)))
7.2b	(cbrt (- (* c z) (* t i)))
7.2b	(cbrt (- (* c z) (* t i)))
7.2b	(cbrt (- (* c z) (* t i)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

55.0ms	(* j (- (* c a) (* y i)))
6.0ms	(cbrt (- (* c z) (* t i)))
6.0ms	(cbrt (- (* c z) (* t i)))
9.0ms	(cbrt (- (* c z) (* t i)))

series1.0s

Counts

4 → 12

Calls

4 calls:

93.0ms	(* j (- (* c a) (* y i)))
186.0ms	(cbrt (- (* c z) (* t i)))
550.0ms	(cbrt (- (* c z) (* t i)))
177.0ms	(cbrt (- (* c z) (* t i)))

simplify2.0s

Counts: 75 → 75

prune789.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.9b

localize41.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
2.4b	(* (cbrt j) (- (* c a) (* y i)))
3.9b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* t i)))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

102.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
45.0ms	(* (cbrt j) (- (* c a) (* y i)))
43.0ms	(* x (- (* y z) (* t a)))
41.0ms	(* b (- (* c z) (* t i)))

series736.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
356.0ms	(* (cbrt j) (- (* c a) (* y i)))
103.0ms	(* x (- (* y z) (* t a)))
132.0ms	(* b (- (* c z) (* t i)))

simplify1.3s

Counts: 120 → 120

prune787.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.2b

localize44.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (cbrt x) (- (* y z) (* t a)))
2.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.0b	(* j (- (* c a) (* y i)))
5.8b	(* b (- (* c z) (* t i)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

32.0ms	(* (cbrt x) (- (* y z) (* t a)))
89.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
29.0ms	(* j (- (* c a) (* y i)))
40.0ms	(* b (- (* c z) (* t i)))

series802.0ms

Counts

4 → 12

Calls

4 calls:

420.0ms	(* (cbrt x) (- (* y z) (* t a)))
164.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
101.0ms	(* j (- (* c a) (* y i)))
117.0ms	(* b (- (* c z) (* t i)))

simplify1.3s

Counts: 120 → 120

prune575.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.2b

regimes1.2s

Accuracy

5.6% (4.9b remaining)

Error of 12.5b against oracle of 7.6b and baseline of 12.8b

bsearch0.0ms

simplify1.6s

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.6s

19074×

body

valid