Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify635.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	59	10
4	101	10
5	150	10
6	200	10
7	236	10
8	279	10
9	365	10
10	478	10
11	550	10
12	643	10
13	670	10
done	670	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

3.7b	(fma (/ y (- a t)) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y (- a t)) (- z t) x)

series175.0ms

Counts

1 → 3

Calls

1 calls:

175.0ms

(fma (/ y (- a t)) (- z t) x)

simplify1.9s

Counts

13 → 13

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	23	158
1	36	158
2	74	138
3	194	136
4	807	136
5	4689	136
done	5000	136

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y (- a t)) (- z t) x))
3.7b	(fma (/ y (- a t)) (- z t) x)
3.7b	(fma (/ y (- a t)) (- z t) x)
3.7b	(fma (/ y (- a t)) (- z t) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

601.0ms	(cbrt (fma (/ y (- a t)) (- z t) x))
172.0ms	(fma (/ y (- a t)) (- z t) x)
170.0ms	(fma (/ y (- a t)) (- z t) x)
172.0ms	(fma (/ y (- a t)) (- z t) x)

simplify763.0ms

Counts

55 → 55

Iterations

Useful iterations: done (761.0ms)

Iter	Nodes	Cost
0	76	757
1	158	750
2	404	664
3	1322	651
done	5000	642

prune196.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.4b	(/ (* y (- z t)) (- a t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

12.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- a t))

series109.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* y (- z t))
72.0ms	(/ (* y (- z t)) (- a t))

simplify2.1s

Counts

83 → 83

Iterations

Useful iterations: 3 (834.0ms)

Iter	Nodes	Cost
0	157	1123
1	343	936
2	1017	772
3	4817	730
done	5000	730

prune160.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.6b	(* y (/ (- z t) (- a t)))

rewrite46.0ms

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:

12.0ms	(/ (- z t) (- a t))
26.0ms	(* y (/ (- z t) (- a t)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- z t) (- a t))
63.0ms	(* y (/ (- z t) (- a t)))

simplify1.1s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	142	1355
1	357	1282
2	935	1200
3	2866	1200
done	5000	1198

prune245.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample515.0ms

Algorithm

intervals

Results

268.0ms	8721×	body	80	valid
0.0ms	1×	body	2560	valid