Details

sample79.0ms

Algorithm

intervals

Results

33.0ms

628×

body

valid

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14
done	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.5b	(* j (- (* c t) (* i y)))
5.0b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* i a)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(- (* c z) (* i a))
26.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* b (- (* c z) (* i a)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* c z) (* i a))
69.0ms	(* j (- (* c t) (* i y)))
74.0ms	(* x (- (* y z) (* t a)))
72.0ms	(* b (- (* c z) (* i a)))

simplify49.0ms

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485
done	5002	485

prune429.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 8.0b

localize27.0ms

Local error

Found 4 expressions with local error:

5.8b	(* b (- (* c z) (* i a)))
6.0b	(cbrt (- (* c t) (* i y)))
6.0b	(cbrt (- (* c t) (* i y)))
6.0b	(cbrt (- (* c t) (* i y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

28.0ms	(* b (- (* c z) (* i a)))
6.0ms	(cbrt (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c t) (* i y)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* b (- (* c z) (* i a)))
125.0ms	(cbrt (- (* c t) (* i y)))
125.0ms	(cbrt (- (* c t) (* i y)))
126.0ms	(cbrt (- (* c t) (* i y)))

simplify99.0ms

Counts

75 → 75

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	313	590
1	1049	543
2	3716	525
3	5002	519
done	5002	519

prune488.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 8.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
2.7b	(* (cbrt j) (- (* c t) (* i y)))
5.0b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* i a)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

61.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
28.0ms	(* (cbrt j) (- (* c t) (* i y)))
26.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* b (- (* c z) (* i a)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
282.0ms	(* (cbrt j) (- (* c t) (* i y)))
69.0ms	(* x (- (* y z) (* t a)))
73.0ms	(* b (- (* c z) (* i a)))

simplify73.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	576	966
1	2593	762
2	5001	699
done	5001	699

prune565.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 6.3b

localize22.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* y z) (* t a)))
5.0b	(* (- j) (* i y))
5.8b	(* t (* j c))
5.8b	(* b (- (* c z) (* i a)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 92

Calls

4 calls:

26.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* (- j) (* i y))
17.0ms	(* t (* j c))
26.0ms	(* b (- (* c z) (* i a)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* (- j) (* i y))
31.0ms	(* t (* j c))
69.0ms	(* b (- (* c z) (* i a)))

simplify56.0ms

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	484	497
1	2035	427
2	5002	427
done	5002	427

prune371.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 5.5b

regimes1.5s

Accuracy

26.6% (4.8b remaining)

Error of 10.8b against oracle of 6.0b and baseline of 12.5b

bsearch173.0ms

Steps

Iters	Range		Point
8	1.0429894290232885e+61	4.707315257995157e+64	8.678610978591722e+61
5	-1.4718051122419779e+43	-5.481956379547021e+42	-1.4482254703626619e+43

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	44
1	72	44
2	78	44
3	78	44
done	78	44

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s

19289×

body

valid