Details

sample48.0ms

Algorithm

intervals

Results

19.0ms

325×

body

valid

simplify103.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite645.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
16×	`times-frac`
10×	`associate-r`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r/` `associate-l*`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `frac-sub` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

71.0ms	(- (/ y z) (/ t (- 1.0 z)))
572.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series155.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- (/ y z) (/ t (- 1.0 z)))
90.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.6s

Counts: 58 → 58

prune225.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
6.4b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.4b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.4b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
82×	`cbrt-prod`
64×	`times-frac`
36×	`distribute-lft-out--`
33×	`cbrt-div`
28×	`difference-of-squares`
17×	`swap-sqr`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3--` `frac-sub` `flip--`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 143

Calls

4 calls:

366.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
48.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
40.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
50.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series839.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
207.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
190.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
202.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify1.4s

Counts: 155 → 155

prune695.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))
7.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
12×	`associate-*r/`
10×	`associate-r`
9×	`cbrt-div`
8×	`times-frac`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`cbrt-prod` `pow1/3` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

201.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
54.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
50.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
336.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
339.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
340.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify1.7s

Counts: 80 → 80

prune334.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))
6.4b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
16×	`times-frac`
12×	`cbrt-prod`
10×	`associate-r`
9×	`cbrt-div` `associate-*r/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

211.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
55.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
54.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
68.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series911.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
195.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
322.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
321.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify543.0ms

Counts: 89 → 89

prune443.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.7b

regimes624.0ms

Accuracy

90% (0.4b remaining)

Error of 1.4b against oracle of 1.0b and baseline of 4.9b

bsearch2.0ms

simplify760.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

546.0ms

10103×

body

valid