Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

388×

body

valid

simplify1.2s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

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:

17.0ms	(+ x (* (- y z) (- t x)))
65.0ms	(* (- y z) (- t x))

series123.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ x (* (- y z) (- t x)))
50.0ms	(* (- y z) (- t x))

simplify526.0ms

Counts: 55 → 55

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

31.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
21.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
28.0ms	(* (- y z) (- x))
32.0ms	(* (- y z) t)

series218.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
66.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
38.0ms	(* (- y z) (- x))
33.0ms	(* (- y z) t)

simplify976.0ms

Counts: 98 → 98

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite69.0ms

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:

43.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
4.0ms	(cbrt (- y z))
11.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))

series680.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
157.0ms	(cbrt (- y z))
158.0ms	(cbrt (- y z))
191.0ms	(cbrt (- y z))

simplify482.0ms

Counts: 113 → 113

prune481.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- x))
1.5b	(- (* y y) (* z z))
7.3b	(* (- (* y y) (* z z)) t)
15.2b	(/ (* (- (* y y) (* z z)) t) (+ y z))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

35.0ms	(* (- y z) (- x))
13.0ms	(- (* y y) (* z z))
51.0ms	(* (- (* y y) (* z z)) t)
40.0ms	(/ (* (- (* y y) (* z z)) t) (+ y z))

series184.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- y z) (- x))
38.0ms	(- (* y y) (* z z))
47.0ms	(* (- (* y y) (* z z)) t)
62.0ms	(/ (* (- (* y y) (* z z)) t) (+ y z))

simplify981.0ms

Counts: 103 → 103

prune290.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes223.0ms

Accuracy

-6.6% (0.0b remaining)

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

bsearch0.0ms

simplify1.3s

end0.0ms

sample1.6s

Algorithm

intervals

Results

547.0ms

12135×

body

valid