Details

sample47.0ms

Algorithm

intervals

Results

19.0ms

337×

body

valid

simplify1.6s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.1b	(* (- y x) (/ z t))

rewrite79.0ms

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:

12.0ms	(+ x (* (- y x) (/ z t)))
63.0ms	(* (- y x) (/ z t))

series145.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ x (* (- y x) (/ z t)))
75.0ms	(* (- y x) (/ z t))

simplify1.6s

Counts: 55 → 55

prune192.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
3.0b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
3.3b	(* (cbrt (- y x)) (/ z t))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

7.0ms	(cbrt (- y x))
7.0ms	(cbrt (- y x))
157.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
40.0ms	(* (cbrt (- y x)) (/ z t))

series665.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- y x))
190.0ms	(cbrt (- y x))
49.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
234.0ms	(* (cbrt (- y x)) (/ z t))

simplify1.1s

Counts: 164 → 164

prune607.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.0b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
49×	`frac-times`
48×	`cbrt-div`
37×	`prod-exp` `cbrt-unprod`
33×	`add-cbrt-cube`
25×	`associate-*l/`
24×	`flip3--` `flip--`
20×	`associate-*r/`
16×	`pow1`
14×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod`
8×	`pow-prod-down`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
169.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

series845.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt t)
254.0ms	(cbrt t)
246.0ms	(cbrt t)
118.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

simplify1.1s

Counts: 122 → 122

prune421.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.4b	(* (/ (- y x) (cbrt t)) (/ (/ z (cbrt t)) (cbrt t)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

314×	`times-frac`
245×	`add-sqr-sqrt`
166×	`cbrt-prod`
159×	`*-un-lft-identity`
147×	`add-cube-cbrt`
136×	`associate-r`
34×	`associate-l`
25×	`add-exp-log`
21×	`unswap-sqr`
16×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
8×	`div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 248

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
185.0ms	(* (/ (- y x) (cbrt t)) (/ (/ z (cbrt t)) (cbrt t)))

series888.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt t)
253.0ms	(cbrt t)
284.0ms	(cbrt t)
106.0ms	(* (/ (- y x) (cbrt t)) (/ (/ z (cbrt t)) (cbrt t)))

simplify608.0ms

Counts: 260 → 260

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes368.0ms

Accuracy

34.6% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.2b

bsearch85.0ms

Steps

Iters	Range		Point
9	2.360257581849189e+40	6.105752349490822e+47	1.5478809779173053e+42
8	-6.156749357606523e+32	-7.11546531958759e+28	-8.574909924999468e+31

simplify1.7s

end0.0ms

sample1.6s

Algorithm

intervals

Results

892.0ms

10652×

body

valid