Details

sample46.0ms

Algorithm

intervals

Results

14.0ms

394×

body

valid

simplify100.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(+ x (* (- y z) (- t x)))
38.0ms	(* (- y z) (- t x))

series132.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ x (* (- y z) (- t x)))
59.0ms	(* (- y z) (- t x))

simplify44.0ms

Counts: 55 → 55

prune128.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

65.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
5.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
8.0ms	(cbrt (- y z))

series758.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
186.0ms	(cbrt (- y z))
209.0ms	(cbrt (- y z))
182.0ms	(cbrt (- y z))

simplify47.0ms

Counts: 113 → 113

prune369.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
1.7b	(- (* t t) (* x x))
4.3b	(* (- y z) (- (* t t) (* x x)))
22.6b	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

37.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
13.0ms	(- (* t t) (* x x))
66.0ms	(* (- y z) (- (* t t) (* x x)))
45.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

series488.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
45.0ms	(- (* t t) (* x x))
122.0ms	(* (- y z) (- (* t t) (* x x)))
157.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

simplify76.0ms

Counts: 103 → 103

prune348.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
1.5b	(- (* y y) (* z z))
5.0b	(* (- (* y y) (* z z)) (- t x))
25.9b	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

20.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
8.0ms	(- (* y y) (* z z))
45.0ms	(* (- (* y y) (* z z)) (- t x))
32.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series344.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
33.0ms	(- (* y y) (* z z))
57.0ms	(* (- (* y y) (* z z)) (- t x))
73.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify72.0ms

Counts: 103 → 103

prune287.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify101.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

521.0ms

12290×

body

valid