Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

412×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 8 (2.8s)

Iter	Nodes	Cost
0	11	15
1	23	14
2	58	14
3	106	14
4	191	14
5	341	14
6	704	14
7	1618	13
8	4901	12
done	5000	12

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ (+ x z) y) (- x z) y)

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 (/ (+ x z) y) (- x z) y)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify726.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (103.0ms)

Iter	Nodes	Cost
0	24	180
1	45	180
2	108	160
3	261	160
4	960	157
done	5000	157

prune47.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ (+ x z) y) (- x z)) y)
0.2b	(* (/ (+ x z) y) (- x z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
36×	`prod-diff`
35×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
16×	`associate-l`
13×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
3×	`distribute-lft-out`
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 → 101

Calls

2 calls:

12.0ms	(+ (* (/ (+ x z) y) (- x z)) y)
24.0ms	(* (/ (+ x z) y) (- x z))

series109.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* (/ (+ x z) y) (- x z)) y)
60.0ms	(* (/ (+ x z) y) (- x z))

simplify982.0ms

Counts

107 → 107

Iterations

Useful iterations: done (978.0ms)

Iter	Nodes	Cost
0	179	1940
1	474	1606
2	1594	1409
done	5002	1366

prune287.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (/ (+ x z) y) (- x z))) (cbrt (* (/ (+ x z) y) (- x z))))
6.6b	(cbrt (* (/ (+ x z) y) (- x z)))
6.6b	(cbrt (* (/ (+ x z) y) (- x z)))
6.6b	(cbrt (* (/ (+ x z) y) (- x z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-div`
55×	`frac-times`
35×	`associate-*r/`
30×	`flip3--` `flip--`
20×	`associate-*l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

12.0ms	(* (cbrt (* (/ (+ x z) y) (- x z))) (cbrt (* (/ (+ x z) y) (- x z))))
7.0ms	(cbrt (* (/ (+ x z) y) (- x z)))
7.0ms	(cbrt (* (/ (+ x z) y) (- x z)))
7.0ms	(cbrt (* (/ (+ x z) y) (- x z)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (* (/ (+ x z) y) (- x z))) (cbrt (* (/ (+ x z) y) (- x z))))
143.0ms	(cbrt (* (/ (+ x z) y) (- x z)))
144.0ms	(cbrt (* (/ (+ x z) y) (- x z)))
153.0ms	(cbrt (* (/ (+ x z) y) (- x z)))

simplify1.2s

Counts

128 → 128

Iterations

Useful iterations: 3 (572.0ms)

Iter	Nodes	Cost
0	194	2969
1	360	2768
2	968	2618
3	2911	2449
done	5001	2449

prune517.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x z))
2.9b	(cbrt (/ (+ x z) y))
6.6b	(cbrt (* (/ (+ x z) y) (- x z)))
6.6b	(cbrt (* (/ (+ x z) y) (- x z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
21×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `cbrt-div`
12×	`times-frac`
5×	`flip3--` `flip--`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `pow1/3` `associate-*r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-*l/`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

2.0ms	(cbrt (- x z))
7.0ms	(cbrt (/ (+ x z) y))
7.0ms	(cbrt (* (/ (+ x z) y) (- x z)))
7.0ms	(cbrt (* (/ (+ x z) y) (- x z)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (- x z))
115.0ms	(cbrt (/ (+ x z) y))
144.0ms	(cbrt (* (/ (+ x z) y) (- x z)))
144.0ms	(cbrt (* (/ (+ x z) y) (- x z)))

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: 3 (726.0ms)

Iter	Nodes	Cost
0	199	1196
1	396	1155
2	951	1089
3	2642	1037
done	5000	1037

prune421.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	13	13
done	13	13

end0.0ms

sample768.0ms

Algorithm

intervals

Results

483.0ms

13614×

body

valid