Details

sample37.0ms

Algorithm

intervals

Results

15.0ms	273×	body	80	valid
0.0ms	1×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	105	10
5	180	10
6	304	10
7	360	10
8	448	10
9	713	10
10	1241	10
11	3537	10
done	5000	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.8b	(fma (/ (- z t) (- z a)) y 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:

43.0ms	(/ (- z t) (- z a))
1.0ms	(fma (/ (- z t) (- z a)) y x)

series198.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ (- z t) (- z a))
125.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.6s

Counts

70 → 70

Iterations

Useful iterations: 3 (805.0ms)

Iter	Nodes	Cost
0	113	884
1	266	856
2	824	810
3	4498	808
done	5000	808

prune240.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ z (- z a))
0.8b	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

694×	`*-un-lft-identity`
684×	`add-sqr-sqrt`
678×	`times-frac`
441×	`prod-diff`
402×	`add-cube-cbrt`
145×	`distribute-lft-out--`
139×	`difference-of-squares`
92×	`associate-/r/`
47×	`flip3--` `flip--`
46×	`div-inv`
21×	`fma-neg`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `fma-udef` `sub-div`

Counts

3 → 542

Calls

3 calls:

171.0ms	(- (/ z (- z a)) (/ t (- z a)))
32.0ms	(/ z (- z a))
1.0ms	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series416.0ms

Counts

3 → 9

Calls

3 calls:

186.0ms	(- (/ z (- z a)) (/ t (- z a)))
79.0ms	(/ z (- z a))
152.0ms	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify1.8s

Counts

551 → 551

Iterations

Useful iterations: 2 (602.0ms)

Iter	Nodes	Cost
0	553	28010
1	1231	25201
2	3514	19763
done	5000	19763

prune2.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.3b	(* (/ 1 (- z a)) (- z t))
0.8b	(fma (* (/ 1 (- z a)) (- z t)) y x)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 126

Calls

3 calls:

17.0ms	(/ 1 (- z a))
68.0ms	(* (/ 1 (- z a)) (- z t))
0.0ms	(fma (* (/ 1 (- z a)) (- z t)) y x)

series419.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ 1 (- z a))
185.0ms	(* (/ 1 (- z a)) (- z t))
171.0ms	(fma (* (/ 1 (- z a)) (- z t)) y x)

simplify2.4s

Counts

135 → 135

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	207	1927
1	554	1662
2	3379	1286
done	5001	1258

prune403.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x y) (/ (* t y) z))
6.6b	(/ (* t y) z)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
28×	`prod-diff`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
15×	`times-frac`
9×	`distribute-lft-out`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`div-inv`
4×	`fma-neg`
3×	`associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `diff-log` `div-exp` `frac-sub` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `associate--l+` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `associate-/l*` `difference-of-squares`

Counts

2 → 76

Calls

2 calls:

61.0ms	(- (+ x y) (/ (* t y) z))
18.0ms	(/ (* t y) z)

series77.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (+ x y) (/ (* t y) z))
32.0ms	(/ (* t y) z)

simplify2.5s

Counts

82 → 82

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	150	1768
1	401	1453
2	2012	1163
done	5000	976

prune215.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes337.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	14
done	10	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

552.0ms	8757×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid