Details

sample59.0ms

Algorithm

intervals

Results

24.0ms

374×

body

valid

simplify67.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* a b) 4.0)
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(+ (* x y) (/ (* z t) 16.0))

rewrite462.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `sum-log`
4×	`pow1` `diff-log`
3×	`associate-+l+` `flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `div-exp` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

16.0ms	(/ (* a b) 4.0)
103.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
310.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
31.0ms	(+ (* x y) (/ (* z t) 16.0))

series409.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* a b) 4.0)
119.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
206.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
56.0ms	(+ (* x y) (/ (* z t) 16.0))

simplify43.0ms

Counts: 81 → 81

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
8.5b	(cbrt (/ (* a b) 4.0))
8.5b	(cbrt (/ (* a b) 4.0))
8.5b	(cbrt (/ (* a b) 4.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

25.0ms	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
5.0ms	(cbrt (/ (* a b) 4.0))
4.0ms	(cbrt (/ (* a b) 4.0))
4.0ms	(cbrt (/ (* a b) 4.0))

series535.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
117.0ms	(cbrt (/ (* a b) 4.0))
131.0ms	(cbrt (/ (* a b) 4.0))
131.0ms	(cbrt (/ (* a b) 4.0))

simplify57.0ms

Counts: 115 → 115

prune571.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (cbrt (pow (/ (* a b) 4.0) 3))) c)
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.2b	(pow (/ (* a b) 4.0) 3)
33.8b	(cbrt (pow (/ (* a b) 4.0) 3))

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
19×	`*-un-lft-identity`
15×	`add-log-exp`
14×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `sum-log`
4×	`div-inv`
3×	`pow-unpow` `associate-+l+` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `+-commutative` `cube-div` `cube-mult` `flip3-+` `diff-log` `unpow3` `div-exp` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `associate-+l-` `sub-neg` `cbrt-div` `pow-pow` `pow1/3` `prod-exp` `associate--l+` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 96

Calls

4 calls:

405.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (cbrt (pow (/ (* a b) 4.0) 3))) c)
12.0ms	(+ (* x y) (/ (* z t) 16.0))
9.0ms	(pow (/ (* a b) 4.0) 3)
5.0ms	(cbrt (pow (/ (* a b) 4.0) 3))

series358.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (cbrt (pow (/ (* a b) 4.0) 3))) c)
65.0ms	(+ (* x y) (/ (* z t) 16.0))
69.0ms	(pow (/ (* a b) 4.0) 3)
23.0ms	(cbrt (pow (/ (* a b) 4.0) 3))

simplify51.0ms

Counts: 108 → 108

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.1b	(* (pow (/ (* a b) 4.0) 2) (/ (* a b) 4.0))
0.2b	(pow (/ (* a b) 4.0) 2)
33.8b	(cbrt (* (pow (/ (* a b) 4.0) 2) (/ (* a b) 4.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
24×	`prod-exp`
18×	`add-sqr-sqrt` `div-exp`
15×	`unpow-prod-down`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-exp`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `add-log-exp`
5×	`unpow2`
4×	`pow-to-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow-unpow` `div-inv` `sqr-pow`
2×	`cbrt-undiv` `associate-*r/` `pow3`
1×	`+-commutative` `cbrt-prod` `cbrt-div` `pow-pow` `flip3-+` `pow-plus` `pow1/3` `sum-log` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `flip-+`

Counts

4 → 99

Calls

4 calls:

13.0ms	(+ (* x y) (/ (* z t) 16.0))
33.0ms	(* (pow (/ (* a b) 4.0) 2) (/ (* a b) 4.0))
9.0ms	(pow (/ (* a b) 4.0) 2)
15.0ms	(cbrt (* (pow (/ (* a b) 4.0) 2) (/ (* a b) 4.0)))

series429.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* x y) (/ (* z t) 16.0))
113.0ms	(* (pow (/ (* a b) 4.0) 2) (/ (* a b) 4.0))
36.0ms	(pow (/ (* a b) 4.0) 2)
218.0ms	(cbrt (* (pow (/ (* a b) 4.0) 2) (/ (* a b) 4.0)))

simplify52.0ms

Counts: 111 → 111

prune452.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes504.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify58.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s

12045×

body

valid