Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	258×	body	80	valid
3.0ms	15×	body	640	valid
2.0ms	12×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	5×	body	1280	valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1907	5
6	4560	5
7	5001	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
14.6b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite16.0ms

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:

13.0ms	(/ (- y x) (- a t))
0.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series143.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y x) (- a t))
91.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	269	450
1	734	425
2	2488	423
3	5002	423

prune217.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- y x) (/ 1 (- a t)))
14.7b	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `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` `rec-exp` `1-exp` `associate-*l/` `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 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a t))
25.0ms	(* (- y x) (/ 1 (- a t)))
0.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series181.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- a t))
56.0ms	(* (- y x) (/ 1 (- a t)))
89.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	351	602
1	1495	525
2	5001	481

prune285.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ 1 (- a t)))
0.7b	(cbrt (/ 1 (- a t)))
0.7b	(cbrt (/ 1 (- a t)))
14.5b	(fma (* (- y x) (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

4.0ms	(cbrt (/ 1 (- a t)))
4.0ms	(cbrt (/ 1 (- a t)))
4.0ms	(cbrt (/ 1 (- a t)))
0.0ms	(fma (* (- y x) (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

series564.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (/ 1 (- a t)))
157.0ms	(cbrt (/ 1 (- a t)))
155.0ms	(cbrt (/ 1 (- a t)))
95.0ms	(fma (* (- y x) (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

simplify77.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	257	1035
1	625	976
2	2380	912
3	5001	819

prune352.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.7b	(cbrt (/ 1 (- a t)))
0.7b	(cbrt (/ 1 (- a t)))
14.6b	(fma (* (- y x) (* (* (/ 1 (cbrt (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

47×	`cbrt-prod`
37×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
23×	`add-cube-cbrt`
7×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
2×	`div-inv`
1×	`fma-udef`

Counts

4 → 91

Calls

4 calls:

2.0ms	(cbrt (- a t))
4.0ms	(cbrt (/ 1 (- a t)))
4.0ms	(cbrt (/ 1 (- a t)))
0.0ms	(fma (* (- y x) (* (* (/ 1 (cbrt (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

series564.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (- a t))
156.0ms	(cbrt (/ 1 (- a t)))
155.0ms	(cbrt (/ 1 (- a t)))
93.0ms	(fma (* (- y x) (* (* (/ 1 (cbrt (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

simplify103.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	340	876
1	831	826
2	3436	787
3	5001	718

prune335.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.8b

regimes366.0ms

Accuracy

68.2% (2.6b remaining)

Error of 9.4b against oracle of 6.8b and baseline of 15.0b

bsearch6.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	48
1	32	48

end0.0ms

sample1.1s

Algorithm

intervals

Results

501.0ms	7853×	body	80	valid
116.0ms	487×	body	640	valid
79.0ms	428×	body	320	valid
74.0ms	243×	body	1280	valid
33.0ms	278×	body	160	valid
7.0ms	20×	body	2560	valid