Details

sample74.0ms

Algorithm

intervals

Results

27.0ms

369×

body

valid

simplify207.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	251
6	251
5	248
4	206
3	140
2	67
1	26
0	13

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.9b	(* (* a z) b)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `fma-def` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 57

Calls

3 calls:

34.0ms	(+ (+ x (* y z)) (* t a))
97.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
19.0ms	(* (* a z) b)

series235.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (+ x (* y z)) (* t a))
123.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
42.0ms	(* (* a z) b)

simplify1.6s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1756
1	304
0	105

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.5b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
2.6b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
141.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
56.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series772.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt b)
255.0ms	(cbrt b)
67.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
173.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1723
1	283
0	102

prune568.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* a z) (* (cbrt b) (cbrt b)))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

31.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
22.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
21.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
21.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

series917.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
267.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
248.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
259.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	809
1	227
0	90

prune770.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* a z) (* (cbrt b) (cbrt b)))
12.0b	(cbrt (* a z))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

27.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
4.0ms	(cbrt (* a z))
30.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
36.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
102.0ms	(cbrt (* a z))
219.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
205.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

simplify1.4s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	848
1	253
0	103

prune612.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes791.0ms

Accuracy

61.7% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.0b

bsearch219.0ms

Steps

Iters	Range		Point
10	2.257206341322858e+84	7.86973597900608e+94	3.8847958802201756e+84
10	-6.605515448132914e+157	-1.1821904179442674e+142	-1.0293329140970352e+146

simplify7.0ms

Iterations

Iter	Nodes
done	32
1	32
0	22

end0.0ms

sample2.4s

Algorithm

intervals

Results

807.0ms

11867×

body

valid