Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	245×	body	80	valid
5.0ms	22×	body	640	valid
3.0ms	10×	body	1280	valid
2.0ms	13×	body	320	valid
0.0ms	2×	body	160	valid

simplify83.0ms

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
15.4b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite15.0ms

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:

12.0ms	(/ (- y x) (- a t))
0.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series141.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y x) (- a t))
89.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (20.0ms)

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

prune206.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
2.6b	(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.7b	(* (/ (- y x) (- a t)) (- z t))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
51×	`add-cube-cbrt` `times-frac`
36×	`prod-diff`
31×	`associate-l`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-r` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `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 → 170

Calls

3 calls:

14.0ms	(/ (- y x) (- a t))
14.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
34.0ms	(* (/ (- y x) (- a t)) (- z t))

series418.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- y x) (- a t))
153.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
213.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify73.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	684	1508
1	2581	1283
2	5003	1263

prune468.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.1b	(+ (* (- y x) (/ (- z t) (- a t))) x)
2.3b	(* (- y x) (/ (- z t) (- a t)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 126

Calls

3 calls:

12.0ms	(/ (- z t) (- a t))
11.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
34.0ms	(* (- y x) (/ (- z t) (- a t)))

series317.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- z t) (- a t))
151.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
115.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	491	904
1	2052	854
2	5003	852

prune366.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(fma (- y x) (/ (- z t) (- a t)) x)

rewrite15.0ms

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:

12.0ms	(/ (- z t) (- a t))
0.0ms	(fma (- y x) (/ (- z t) (- a t)) x)

series157.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- z t) (- a t))
102.0ms	(fma (- y x) (/ (- z t) (- a t)) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	266	450
1	727	425
2	2557	423
3	5001	423

prune181.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.6b

regimes358.0ms

Accuracy

34.3% (5.3b remaining)

Error of 8.9b against oracle of 3.6b and baseline of 11.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	22
1	30	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

475.0ms	7750×	body	80	valid
116.0ms	490×	body	640	valid
86.0ms	279×	body	1280	valid
65.0ms	368×	body	320	valid
40.0ms	275×	body	160	valid
8.0ms	22×	body	2560	valid