Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

281×

body

valid

simplify959.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.7b	(fma (/ y (- a t)) (- z t) x)

rewrite13.0ms

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:

11.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series257.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ y (- a t))
220.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.3s

Counts

55 → 55

Iterations

Useful iterations: 4 (494.0ms)

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

prune161.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
2.7b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite48.0ms

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:

15.0ms	(/ 1 (- a t))
30.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series298.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1 (- a t))
39.0ms	(* y (/ 1 (- a t)))
215.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: 4 (930.0ms)

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

prune236.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
8.9b	(* (- z t) (/ y (- a t)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

11.0ms	(/ y (- a t))
46.0ms	(* (- z t) (/ y (- a t)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ y (- a t))
82.0ms	(* (- z t) (/ y (- a t)))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	134	1009
1	298	962
2	1104	888
3	4477	888
done	5000	888

prune246.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.8b	(/ 1 (/ (- a t) y))
8.9b	(* (- z t) (/ 1 (/ (- a t) y)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 241

Calls

3 calls:

17.0ms	(/ (- a t) y)
19.0ms	(/ 1 (/ (- a t) y))
65.0ms	(* (- z t) (/ 1 (/ (- a t) y)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- a t) y)
91.0ms	(/ 1 (/ (- a t) y))
128.0ms	(* (- z t) (/ 1 (/ (- a t) y)))

simplify1.1s

Counts

250 → 250

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	296	3502
1	708	2811
2	1826	2498
done	5000	2468

prune519.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes218.0ms

Accuracy

49.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	59
1	31	57
done	31	57

end0.0ms

sample613.0ms

Algorithm

intervals

Results

249.0ms	8754×	body	80	valid
0.0ms	1×	body	320	valid