Details

sample131.0ms

Algorithm

intervals

Results

65.0ms

498×

body

valid

simplify168.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite430.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
310.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
78.0ms	(* (* (* x 18.0) y) z)

series231.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
143.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
38.0ms	(* (* (* x 18.0) y) z)

simplify62.0ms

Counts: 93 → 93

prune426.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
3.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
23.0ms	(* j (* 27.0 k))
290.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
78.0ms	(* (* (* x 18.0) y) z)

series237.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x 18.0) y)
26.0ms	(* j (* 27.0 k))
153.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify68.0ms

Counts: 93 → 93

prune466.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
3.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`cbrt-prod` `associate-r`
4×	`associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
325.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
83.0ms	(* (* (* x 18.0) y) z)

series747.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt k)
272.0ms	(cbrt k)
172.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
39.0ms	(* (* (* x 18.0) y) z)

simplify52.0ms

Counts: 79 → 79

prune576.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.7b

localize56.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)
4.4b	(* (* (* x 18.0) y) z)
4.4b	(* (* (* x 18.0) y) z)

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `associate-l` `*-commutative`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 76

Calls

4 calls:

60.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
65.0ms	(* (* (* x 18.0) y) z)
62.0ms	(* (* (* x 18.0) y) z)
65.0ms	(* (* (* x 18.0) y) z)

series303.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)
31.0ms	(* (* (* x 18.0) y) z)
34.0ms	(* (* (* x 18.0) y) z)

simplify45.0ms

Counts: 88 → 88

prune514.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.7b

regimes1.3s

Accuracy

19.2% (2.9b remaining)

Error of 5.0b against oracle of 2.2b and baseline of 5.7b

bsearch693.0ms

Steps

Iters	Range		Point
9	2.8155606419767046e-129	1.651119917265245e-120	2.3506381887457707e-124
8	-2.9838224140514847e-44	-7.2568754696365495e-47	-7.924535231213678e-47

simplify69.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.7s

16252×

body

valid