Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

323×

body

valid

simplify117.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	136
6	136
5	134
4	122
3	79
2	36
1	16
0	8

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

7.0b	(* (- x z) (* t y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 24

Calls

1 calls:

29.0ms

(* (- x z) (* t y))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(* (- x z) (* t y))

simplify1.4s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	2675
2	522
1	152
0	58

prune123.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
6.7b	(* (* (- x z) t) y)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

31.0ms	(* (- x z) t)
35.0ms	(* (* (- x z) t) y)

series100.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (- x z) t)
58.0ms	(* (* (- x z) t) y)

simplify566.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
2	1084
1	202
0	83

prune278.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x z))
0.6b	(* (cbrt (- x z)) (cbrt (- x z)))
3.4b	(* (cbrt (- x z)) (* t y))
3.6b	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
38×	`cbrt-prod`
37×	`pow1`
36×	`associate-*l/`
35×	`add-sqr-sqrt` `flip3--` `flip--`
33×	`*-un-lft-identity`
32×	`frac-times` `add-exp-log`
20×	`pow-prod-down`
19×	`prod-exp` `cbrt-unprod`
18×	`add-cbrt-cube`
17×	`associate-l`
15×	`add-cube-cbrt`
10×	`swap-sqr` `associate-r` `associate-*r/`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 158

Calls

4 calls:

5.0ms	(cbrt (- x z))
52.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
42.0ms	(* (cbrt (- x z)) (* t y))
117.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

series797.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (- x z))
153.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
390.0ms	(* (cbrt (- x z)) (* t y))
69.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

simplify1.6s

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
2	2816
1	664
0	237

prune904.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* (* (- x z) t) y))
6.7b	(* (* (- x z) t) y)
6.7b	(* (* (- x z) t) y)
6.7b	(* (* (- x z) t) y)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`associate-*l/`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`associate-l` `*-commutative`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 79

Calls

4 calls:

30.0ms	(cbrt (* (* (- x z) t) y))
38.0ms	(* (* (- x z) t) y)
51.0ms	(* (* (- x z) t) y)
39.0ms	(* (* (- x z) t) y)

series357.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (* (* (- x z) t) y))
65.0ms	(* (* (- x z) t) y)
62.0ms	(* (* (- x z) t) y)
56.0ms	(* (* (- x z) t) y)

simplify821.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1401
1	317
0	126

prune623.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes581.0ms

Accuracy

63.7% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 6.8b

bsearch126.0ms

Steps

Iters	Range		Point
9	5.964284886879442e-41	5.6110973152294725e-34	9.35396720345181e-36
8	-1.5371233422266502e+47	-6.459414930252532e+43	-2.1649590822028293e+46

simplify2.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

502.0ms

10752×

body

valid