Details

sample102.0ms

Algorithm

intervals

Results

50.0ms

531×

body

valid

simplify172.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite316.0ms

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:

17.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
211.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
66.0ms	(* (* (* x 18.0) y) z)

series221.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
142.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
33.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Counts: 93 → 93

prune377.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
4.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite305.0ms

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:

18.0ms	(* (* x 18.0) y)
16.0ms	(* j (* 27.0 k))
211.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
57.0ms	(* (* (* x 18.0) y) z)

series239.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
22.0ms	(* j (* 27.0 k))
152.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
34.0ms	(* (* (* x 18.0) y) z)

simplify67.0ms

Counts: 93 → 93

prune401.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
1.0b	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
3.6b	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
4.1b	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

1.0ms	(cbrt z)
236.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
71.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
952.0ms	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt z)
67.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
172.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
179.0ms	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))

simplify78.0ms

Counts: 111 → 111

prune481.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.4b

localize34.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* (* (* (* x 18.0) y) (cbrt z)) (cbrt z)) (cbrt z))
1.7b	(* (* (* (* x 18.0) y) (cbrt z)) (cbrt z))
2.0b	(* (* (* x 18.0) y) (cbrt z))
4.1b	(* t (- (* (* (* (* (* x 18.0) y) (cbrt z)) (cbrt z)) (cbrt z)) (* a 4.0)))

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

49×	`pow1` `add-exp-log`
32×	`pow-prod-down` `prod-exp` `cbrt-unprod`
27×	`add-cbrt-cube`
21×	`associate-r`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
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 → 105

Calls

4 calls:

696.0ms	(* (* (* (* (* x 18.0) y) (cbrt z)) (cbrt z)) (cbrt z))
188.0ms	(* (* (* (* x 18.0) y) (cbrt z)) (cbrt z))
55.0ms	(* (* (* x 18.0) y) (cbrt z))
2.8s	(* t (- (* (* (* (* (* x 18.0) y) (cbrt z)) (cbrt z)) (cbrt z)) (* a 4.0)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* (* (* (* x 18.0) y) (cbrt z)) (cbrt z)) (cbrt z))
184.0ms	(* (* (* (* x 18.0) y) (cbrt z)) (cbrt z))
132.0ms	(* (* (* x 18.0) y) (cbrt z))
191.0ms	(* t (- (* (* (* (* (* x 18.0) y) (cbrt z)) (cbrt z)) (cbrt z)) (* a 4.0)))

simplify88.0ms

Counts: 117 → 117

prune538.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.4b

regimes1.3s

Accuracy

37.2% (2.1b remaining)

Error of 4.4b against oracle of 2.3b and baseline of 5.7b

bsearch307.0ms

Steps

Iters	Range		Point
8	1.1368599582212873e-124	1.205126565188688e-120	4.578620362694685e-124
7	-3.3177679689212757e-144	-5.344245046864215e-146	-5.926582951120757e-145

simplify3.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.9s

16147×

body

valid