Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

280×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	179	10
6	329	10
7	660	10
8	1295	10
9	2525	10
done	5000	10

prune8.0ms

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 z) (- a z))
1.2b	(fma (/ (- y z) (- a z)) t x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

41.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series190.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- y z) (- a z))
130.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 3 (757.0ms)

Iter	Nodes	Cost
0	113	884
1	264	856
2	826	810
3	4309	808
done	5000	808

prune253.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- y z) (- a z)) t) x)
0.0b	(/ (- y z) (- a z))
2.6b	(* (/ (- y z) (- a z)) t)

rewrite151.0ms

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:

27.0ms	(+ (* (/ (- y z) (- a z)) t) x)
38.0ms	(/ (- y z) (- a z))
78.0ms	(* (/ (- y z) (- a z)) t)

series337.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(+ (* (/ (- y z) (- a z)) t) x)
79.0ms	(/ (- y z) (- a z))
129.0ms	(* (/ (- y z) (- a z)) t)

simplify1.2s

Counts

129 → 129

Iterations

Useful iterations: 2 (262.0ms)

Iter	Nodes	Cost
0	173	1599
1	460	1527
2	1755	1441
done	5000	1441

prune461.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1 (/ (- a z) (- y z))) t) x)
0.0b	(/ (- a z) (- y z))
0.6b	(/ 1 (/ (- a z) (- y z)))
2.6b	(* (/ 1 (/ (- a z) (- y z))) t)

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 346

Calls

4 calls:

30.0ms	(+ (* (/ 1 (/ (- a z) (- y z))) t) x)
27.0ms	(/ (- a z) (- y z))
42.0ms	(/ 1 (/ (- a z) (- y z)))
129.0ms	(* (/ 1 (/ (- a z) (- y z))) t)

series835.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(+ (* (/ 1 (/ (- a z) (- y z))) t) x)
76.0ms	(/ (- a z) (- y z))
215.0ms	(/ 1 (/ (- a z) (- y z)))
237.0ms	(* (/ 1 (/ (- a z) (- y z))) t)

simplify1.1s

Counts

358 → 358

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	380	5660
1	1108	4999
done	5000	4587

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (- y z) (/ 1 (- a z))) t) x)
0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
2.6b	(* (* (- y z) (/ 1 (- a z))) t)

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `fma-def` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 139

Calls

4 calls:

63.0ms	(+ (* (* (- y z) (/ 1 (- a z))) t) x)
12.0ms	(/ 1 (- a z))
48.0ms	(* (- y z) (/ 1 (- a z)))
69.0ms	(* (* (- y z) (/ 1 (- a z))) t)

series395.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ (* (* (- y z) (/ 1 (- a z))) t) x)
50.0ms	(/ 1 (- a z))
70.0ms	(* (- y z) (/ 1 (- a z)))
133.0ms	(* (* (- y z) (/ 1 (- a z))) t)

simplify7.8s

Counts

151 → 151

Iterations

Useful iterations: 2 (895.0ms)

Iter	Nodes	Cost
0	193	1817
1	508	1598
2	4165	1311
done	5000	1311

prune508.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	16	13
done	16	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

551.0ms	8752×	body	80	valid
0.0ms	1×	body	640	valid