Details

sample52.0ms

Algorithm

intervals

Results

25.0ms

277×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4733
20	4431
19	4132
18	3790
17	3489
16	3146
15	2840
14	2378
13	1801
12	1283
11	859
10	585
9	413
8	338
7	257
6	204
5	146
4	95
3	52
2	30
1	17
0	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
1.8b	(fma (/ y (- a t)) (- z t) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

18.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series354.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ y (- a t))
308.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.6s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
3	1379
2	448
1	175
0	94

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
1.8b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite33.0ms

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` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 102

Calls

3 calls:

10.0ms	(/ 1 (- a t))
21.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series364.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ 1 (- a t))
35.0ms	(* y (/ 1 (- a t)))
277.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify3.7s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
4	4763
3	1855
2	772
1	301
0	135

prune585.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(* (/ (- z t) (- a t)) y)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 108

Calls

2 calls:

34.0ms	(/ (- z t) (- a t))
55.0ms	(* (/ (- z t) (- a t)) y)

series246.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (- z t) (- a t))
170.0ms	(* (/ (- z t) (- a t)) y)

simplify3.0s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
3	3867
2	1093
1	383
0	149

prune512.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- z t) y)
9.1b	(/ (* (- z t) y) (- a t))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-cube-cbrt`
5×	`associate-/r` `times-frac` `associate-l*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

19.0ms	(* (- z t) y)
39.0ms	(/ (* (- z t) y) (- a t))

series156.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- z t) y)
116.0ms	(/ (* (- z t) y) (- a t))

simplify2.9s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	4855
2	969
1	275
0	107

prune309.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes418.0ms

Accuracy

69.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch61.0ms

Steps

Iters	Range		Point
5	2.1545036567736907e-37	7.890820011983143e-37	2.210437770349525e-37
1	-7.47632310733584e-45	-7.013398913835904e-45	-7.360592058960857e-45

simplify7.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

870.0ms	8690×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid