Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

332×

body

valid

simplify21.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	26	8
3	57	8
4	100	8
5	147	8
6	186	8
7	271	8
8	436	8
9	699	8
10	1402	8
11	2201	8
12	3227	8
13	4702	8
done	5000	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize7.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- y x) (/ z t) x)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (- y x) (/ z t) x)

simplify645.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	84	138
3	214	123
4	963	123
done	5000	123

prune41.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.5b

localize8.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- y x) (/ z t) x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma (- y x) (/ z t) x)

simplify434.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	84	138
3	214	123
4	963	123
done	5000	123

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ z t) (- y x)) x)
5.8b	(* (/ z t) (- y x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

12.0ms	(+ (* (/ z t) (- y x)) x)
16.0ms	(* (/ z t) (- y x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* (/ z t) (- y x)) x)
54.0ms	(* (/ z t) (- y x))

simplify913.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	178	1645
1	473	1317
2	1786	1082
done	5000	1082

prune249.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
1.7b	(* (* (/ z t) (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt (- y x)))
4.2b	(* (/ z t) (* (cbrt (- y x)) (cbrt (- y x))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 172

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
103.0ms	(* (* (/ z t) (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt (- y x)))
30.0ms	(* (/ z t) (* (cbrt (- y x)) (cbrt (- y x))))

series483.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (- y x))
160.0ms	(cbrt (- y x))
56.0ms	(* (* (/ z t) (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt (- y x)))
100.0ms	(* (/ z t) (* (cbrt (- y x)) (cbrt (- y x))))

simplify816.0ms

Counts

184 → 184

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	302	4321
1	795	4119
2	2384	3668
done	5000	3668

prune532.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	12	8
2	14	8
done	14	8

end0.0ms

sample555.0ms

Algorithm

intervals

Results

282.0ms

10666×

body

valid