Details

sample139.0ms

Algorithm

intervals

Results

80.0ms

645×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	721
3	290
2	96
1	43
0	23

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* t i))
3.6b	(* j (- (* c a) (* y i)))
3.8b	(* x (- (* y z) (* t a)))
6.2b	(* b (- (* c z) (* t i)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

6.0ms	(- (* c z) (* t i))
27.0ms	(* j (- (* c a) (* y i)))
45.0ms	(* x (- (* y z) (* t a)))
22.0ms	(* b (- (* c z) (* t i)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* c z) (* t i))
95.0ms	(* j (- (* c a) (* y i)))
88.0ms	(* x (- (* y z) (* t a)))
110.0ms	(* b (- (* c z) (* t i)))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1435
1	456
0	166

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.7b

localize127.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* b (- (* c z) (* t i))))
6.2b	(* b (- (* c z) (* t i)))
6.2b	(* b (- (* c z) (* t i)))
6.2b	(* b (- (* c z) (* t i)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

10.0ms	(cbrt (* b (- (* c z) (* t i))))
42.0ms	(* b (- (* c z) (* t i)))
41.0ms	(* b (- (* c z) (* t i)))
41.0ms	(* b (- (* c z) (* t i)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (* b (- (* c z) (* t i))))
100.0ms	(* b (- (* c z) (* t i)))
102.0ms	(* b (- (* c z) (* t i)))
112.0ms	(* b (- (* c z) (* t i)))

simplify2.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5029
3	2611
2	778
1	267
0	103

prune1.4s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 7.6b

localize116.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* b (- (* c z) (* t i))))
6.2b	(* b (- (* c z) (* t i)))
6.2b	(* b (- (* c z) (* t i)))
7.7b	(cbrt (- (* c z) (* t i)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

14.0ms	(cbrt (* b (- (* c z) (* t i))))
27.0ms	(* b (- (* c z) (* t i)))
29.0ms	(* b (- (* c z) (* t i)))
5.0ms	(cbrt (- (* c z) (* t i)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (* b (- (* c z) (* t i))))
97.0ms	(* b (- (* c z) (* t i)))
106.0ms	(* b (- (* c z) (* t i)))
180.0ms	(cbrt (- (* c z) (* t i)))

simplify2.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
3	3315
2	934
1	334
0	133

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.6b

localize140.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* b (- (* c z) (* t i))))
6.1b	(cbrt (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i)))))
6.2b	(* b (- (* c z) (* t i)))
6.2b	(* b (- (* c z) (* t i)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

16.0ms	(cbrt (* b (- (* c z) (* t i))))
49.0ms	(cbrt (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i)))))
39.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* b (- (* c z) (* t i)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (* b (- (* c z) (* t i))))
229.0ms	(cbrt (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i)))))
101.0ms	(* b (- (* c z) (* t i)))
106.0ms	(* b (- (* c z) (* t i)))

simplify2.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	3171
2	867
1	301
0	121

prune1.0s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 7.6b

regimes2.8s

Accuracy

5.6% (3.8b remaining)

Error of 12.3b against oracle of 8.5b and baseline of 12.5b

bsearch196.0ms

Steps

Iters	Range		Point
9	-1.584138811304868e-303	1.2483219091912466e-306	1.0328275676628067e-306
4	-1.4333686583500046e-164	-7.868129452000136e-165	-8.664388097511559e-165

simplify14.0ms

Iterations

Iter	Nodes
done	55
1	55
0	40

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.4s

19133×

body

valid