Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

335×

body

valid

simplify1.6s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

35.0ms	(* (- 1.0 y) z)
35.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (- 1.0 y) z)
70.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.7s

Counts: 52 → 52

prune121.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.4b	(* (* x z) (- y 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

19.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
31.0ms	(* (* x z) (- y 1.0))

series137.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
57.0ms	(* (* x z) (- y 1.0))

simplify684.0ms

Counts: 47 → 47

prune119.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
1.1b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.4b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3--` `flip--`
34×	`pow1` `add-exp-log`
32×	`frac-times`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
16×	`associate-*l/`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 118

Calls

4 calls:

4.0ms	(cbrt (- y 1.0))
4.0ms	(cbrt (- y 1.0))
261.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
84.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series593.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (- y 1.0))
147.0ms	(cbrt (- y 1.0))
99.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
207.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.1s

Counts: 130 → 130

prune362.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* z y) 1.0)) (* (- 1.0) (* x z)))
3.4b	(* x (+ (* z y) 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

31.0ms	(+ (* x (+ (* z y) 1.0)) (* (- 1.0) (* x z)))
28.0ms	(* x (+ (* z y) 1.0))

series122.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (* x (+ (* z y) 1.0)) (* (- 1.0) (* x z)))
47.0ms	(* x (+ (* z y) 1.0))

simplify748.0ms

Counts: 43 → 43

prune105.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

-104.3% (3.5b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 1.8b

bsearch125.0ms

Steps

Iters	Range		Point
9	2.7839367567869983e-19	1.9021303761434836e-14	5.2427137483546105e-19
8	-9.904464504890055e-55	-1.1532382372629659e-57	-7.801101333405402e-55

simplify584.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

514.0ms

10110×

body

valid