Details

sample58.0ms

Algorithm

intervals

Results

29.0ms

343×

body

valid

simplify1.6s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- y x) (/ z t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
27.0ms	(* (- y x) (/ z t))

series115.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* (- y x) (/ z t)))
62.0ms	(* (- y x) (/ z t))

simplify685.0ms

Counts: 55 → 55

prune202.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
5.0b	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
156.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt z)
347.0ms	(cbrt z)
278.0ms	(cbrt z)
122.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify1.1s

Counts: 96 → 96

prune770.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.7b	(* (- y x) (/ (cbrt z) t))
4.2b	(* (* (cbrt z) (cbrt z)) (* (- y x) (/ (cbrt z) t)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-sqr-sqrt`
23×	`associate-r`
22×	`*-un-lft-identity`
21×	`add-cbrt-cube`
20×	`add-cube-cbrt` `times-frac`
18×	`pow1`
16×	`cbrt-prod`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
7×	`associate-*r/`
6×	`associate-l`
4×	`frac-times` `flip3--` `associate-*l/` `flip--` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `unswap-sqr`
2×	`pow1/3` `*-commutative`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
63.0ms	(* (- y x) (/ (cbrt z) t))
118.0ms	(* (* (cbrt z) (cbrt z)) (* (- y x) (/ (cbrt z) t)))

series880.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt z)
275.0ms	(cbrt z)
195.0ms	(* (- y x) (/ (cbrt z) t))
134.0ms	(* (* (cbrt z) (cbrt z)) (* (- y x) (/ (cbrt z) t)))

simplify939.0ms

Counts: 113 → 113

prune484.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t)))
1.4b	(* (cbrt (- y x)) (/ (cbrt z) t))
4.2b	(* (* (cbrt z) (cbrt z)) (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t))))

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

220×	`cbrt-div`
166×	`frac-times`
110×	`flip3--` `flip--`
106×	`associate-*r/`
95×	`add-exp-log`
78×	`associate-*l/`
62×	`prod-exp` `cbrt-unprod`
59×	`pow1`
42×	`add-cbrt-cube`
40×	`pow-prod-down`
38×	`add-sqr-sqrt`
24×	`associate-r`
22×	`cbrt-prod` `*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
10×	`associate-l`
7×	`cbrt-undiv` `div-exp`
6×	`unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
1×	`pow1/3` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 245

Calls

4 calls:

1.0ms	(cbrt z)
126.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t)))
61.0ms	(* (cbrt (- y x)) (/ (cbrt z) t))
466.0ms	(* (* (cbrt z) (cbrt z)) (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t))))

series887.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt z)
176.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t)))
312.0ms	(* (cbrt (- y x)) (/ (cbrt z) t))
119.0ms	(* (* (cbrt z) (cbrt z)) (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t))))

simplify659.0ms

Counts: 257 → 257

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes397.0ms

Accuracy

-42.9% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

simplify1.1s

end0.0ms

sample1.2s

Algorithm

intervals

Results

590.0ms

10642×

body

valid