Details

sample53.0ms

Algorithm

intervals

Results

20.0ms

285×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	60	10
4	111	10
5	156	10
6	206	10
7	251	10
8	301	10
9	386	10
10	484	10
11	552	10
12	616	10
13	644	10
done	644	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.3b	(fma (/ y (- a t)) (- z t) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

35.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series375.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ y (- a t))
312.0ms	(fma (/ y (- a t)) (- z t) x)

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 4 (838.0ms)

Iter	Nodes	Cost
0	92	550
1	167	533
2	348	493
3	761	491
4	2276	490
done	5000	490

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
9.2b	(* (/ y (- a t)) (- z t))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
34×	`add-cube-cbrt`
31×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-r` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 109

Calls

2 calls:

14.0ms	(/ y (- a t))
87.0ms	(* (/ y (- a t)) (- z t))

series320.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ y (- a t))
265.0ms	(* (/ y (- a t)) (- z t))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	194	1693
1	456	1501
2	1273	1335
done	5000	1311

prune367.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

33.0ms	(/ (- z t) (- a t))
87.0ms	(* y (/ (- z t) (- a t)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ (- z t) (- a t))
98.0ms	(* y (/ (- z t) (- a t)))

simplify2.2s

Counts

112 → 112

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	142	1355
1	352	1282
2	970	1200
3	2905	1200
done	5000	1200

prune484.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 284

Calls

4 calls:

158.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
18.0ms	(cbrt (/ (- z t) (- a t)))
11.0ms	(cbrt (/ (- z t) (- a t)))
12.0ms	(cbrt (/ (- z t) (- a t)))

series2.1s

Counts

4 → 12

Calls

4 calls:

494.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
530.0ms	(cbrt (/ (- z t) (- a t)))
586.0ms	(cbrt (/ (- z t) (- a t)))
533.0ms	(cbrt (/ (- z t) (- a t)))

simplify2.8s

Counts

296 → 296

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	295	6549
1	556	6130
2	1453	5993
3	3002	5691
done	5000	5606

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes174.0ms

Accuracy

-14.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.5b

bsearch60.0ms

Steps

Iters	Range		Point
8	-3.518204586301314e-196	-2.669311405549095e-199	-5.99385018195476e-198

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	20	26
done	20	26

end0.0ms

sample1.2s

Algorithm

intervals

Results

576.0ms	8721×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid