Details

sample36.0ms

Algorithm

intervals

Results

18.0ms

284×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	60	10
4	115	10
5	190	10
6	286	10
7	423	10
8	772	10
9	1507	10
10	4459	10
done	5000	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

12.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series283.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ y (- a t))
236.0ms	(fma (/ y (- a t)) (- z t) x)

simplify961.0ms

Counts

55 → 55

Iterations

Useful iterations: 3 (313.0ms)

Iter	Nodes	Cost
0	92	550
1	173	533
2	440	493
3	1606	491
done	5000	491

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
2.1b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite71.0ms

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:

28.0ms	(/ 1 (- a t))
35.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series372.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ 1 (- a t))
44.0ms	(* y (/ 1 (- a t)))
263.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify722.0ms

Counts

108 → 108

Iterations

Useful iterations: done (719.0ms)

Iter	Nodes	Cost
0	132	1055
1	306	914
2	1110	755
done	5000	751

prune375.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

28.0ms	(+ (* (- z t) (/ y (- a t))) x)
14.0ms	(/ y (- a t))
63.0ms	(* (- z t) (/ y (- a t)))

series323.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(+ (* (- z t) (/ y (- a t))) x)
54.0ms	(/ y (- a t))
121.0ms	(* (- z t) (/ y (- a t)))

simplify1.8s

Counts

110 → 110

Iterations

Useful iterations: 2 (371.0ms)

Iter	Nodes	Cost
0	160	1269
1	404	1192
2	1989	1110
done	5000	1110

prune458.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- z t) (/ 1 (/ (- a t) y))) x)
0.0b	(/ (- a t) y)
1.2b	(/ 1 (/ (- a t) y))
9.2b	(* (- z t) (/ 1 (/ (- a t) y)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
184×	`add-sqr-sqrt`
172×	`*-un-lft-identity`
118×	`add-cube-cbrt`
62×	`associate-r`
36×	`add-exp-log`
26×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
20×	`add-cbrt-cube`
15×	`div-exp`
10×	`div-inv`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`flip3--` `flip--` `cbrt-unprod`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/r/` `associate-/l/`
1×	`+-commutative` `pow-flip` `fma-def` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 255

Calls

4 calls:

59.0ms	(+ (* (- z t) (/ 1 (/ (- a t) y))) x)
40.0ms	(/ (- a t) y)
38.0ms	(/ 1 (/ (- a t) y))
80.0ms	(* (- z t) (/ 1 (/ (- a t) y)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ (* (- z t) (/ 1 (/ (- a t) y))) x)
36.0ms	(/ (- a t) y)
115.0ms	(/ 1 (/ (- a t) y))
211.0ms	(* (- z t) (/ 1 (/ (- a t) y)))

simplify764.0ms

Counts

267 → 267

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	322	3802
1	926	3177
done	5001	2891

prune910.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes255.0ms

Accuracy

51.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.3b

bsearch85.0ms

Steps

Iters	Range		Point
6	5.250396067721621e-77	7.519963681429202e-76	7.354120544912667e-76
4	-2.1347012801512736e+25	-1.546359190217044e+25	-1.5616133185154908e+25

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	39
1	23	30
done	23	30

end0.0ms

sample1.7s

Algorithm

intervals

Results

995.0ms	8758×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid