Details

sample152.0ms

Algorithm

intervals

Results

74.0ms

569×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	950
3	290
2	96
1	43
0	23

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite94.0ms

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 t) (* i y))
24.0ms	(* j (- (* c t) (* i y)))
34.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* x (- (* y z) (* t a)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* c t) (* i y))
123.0ms	(* j (- (* c t) (* i y)))
104.0ms	(* b (- (* c z) (* i a)))
83.0ms	(* x (- (* y z) (* t a)))

simplify1.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1781
1	456
0	166

prune979.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.1b

localize119.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* x (- (* y z) (* t a))))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite101.0ms

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:

8.0ms	(cbrt (* x (- (* y z) (* t a))))
32.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* x (- (* y z) (* t a)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (* x (- (* y z) (* t a))))
102.0ms	(* x (- (* y z) (* t a)))
88.0ms	(* x (- (* y z) (* t a)))
123.0ms	(* x (- (* y z) (* t a)))

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
3	3517
2	864
1	266
0	103

prune1.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.1b

localize164.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r/` `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:

9.0ms	(cbrt (* x (- (* y z) (* t a))))
8.0ms	(cbrt (* x (- (* y z) (* t a))))
30.0ms	(* x (- (* y z) (* t a)))
21.0ms	(* x (- (* y z) (* t a)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (* x (- (* y z) (* t a))))
239.0ms	(cbrt (* x (- (* y z) (* t a))))
88.0ms	(* x (- (* y z) (* t a)))
85.0ms	(* x (- (* y z) (* t a)))

simplify2.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	3517
2	864
1	266
0	103

prune1.4s

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 8.1b

localize77.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (cbrt x) (- (* y z) (* t a)))
3.4b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))

rewrite175.0ms

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×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `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:

26.0ms	(* (cbrt x) (- (* y z) (* t a)))
72.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
44.0ms	(* j (- (* c t) (* i y)))
30.0ms	(* b (- (* c z) (* i a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

394.0ms	(* (cbrt x) (- (* y z) (* t a)))
473.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
112.0ms	(* j (- (* c t) (* i y)))
123.0ms	(* b (- (* c z) (* i a)))

simplify1.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5003
2	3202
1	618
0	209

prune981.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 6.2b

regimes2.8s

Accuracy

8.9% (4.6b remaining)

Error of 12.0b against oracle of 7.4b and baseline of 12.5b

bsearch155.0ms

Steps

Iters	Range		Point
7	8.215161490639778e-161	9.057925172271956e-159	6.505647406761651e-159

simplify22.0ms

Iterations

Iter	Nodes
done	65
3	65
2	61
1	53
0	36

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.9s

19189×

body

valid