Details

sample49.0ms

Algorithm

intervals

Results

21.0ms

283×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.8b	(fma (/ y (- a t)) (- z t) x)

rewrite27.0ms

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:

23.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series358.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ y (- a t))
318.0ms	(fma (/ y (- a t)) (- z t) x)

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 4 (740.0ms)

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

prune238.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.1b	(* y (/ 1 (- a t)))
2.8b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

35.0ms	(/ 1 (- a t))
66.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series427.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ 1 (- a t))
58.0ms	(* y (/ 1 (- a t)))
322.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify2.5s

Counts

108 → 108

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	132	1055
1	278	835
2	527	749
3	1134	747
4	3258	746
done	5000	746

prune375.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
2.8b	(fma (* y (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) (- z t) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

6.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
8.0ms	(cbrt (- a t))
1.0ms	(fma (* y (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) (- z t) x)

series965.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (- a t))
267.0ms	(cbrt (- a t))
221.0ms	(cbrt (- a t))
240.0ms	(fma (* y (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) (- z t) x)

simplify3.4s

Counts

73 → 73

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	94	915
1	191	897
2	411	739
3	1111	646
4	4116	610
done	5000	607

prune389.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- z t) (- a t)) y) x)
0.0b	(/ (- z t) (- a t))
2.1b	(* (/ (- z t) (- a t)) y)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

22.0ms	(+ (* (/ (- z t) (- a t)) y) x)
33.0ms	(/ (- z t) (- a t))
66.0ms	(* (/ (- z t) (- a t)) y)

series379.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(+ (* (/ (- z t) (- a t)) y) x)
85.0ms	(/ (- z t) (- a t))
151.0ms	(* (/ (- z t) (- a t)) y)

simplify2.7s

Counts

129 → 129

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	173	1599
1	448	1527
2	1231	1441
3	3948	1433
done	5000	1433

prune498.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

587.0ms	8764×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid