Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	241×	body	80	valid
2.0ms	19×	body	320	valid
2.0ms	13×	body	640	valid
1.0ms	10×	body	1280	valid
1.0ms	9×	body	160	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 12.1b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
14.8b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite14.0ms

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:

10.0ms	(/ (- y x) (- a t))
1.0ms	(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)

simplify74.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (25.0ms)

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

prune233.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	60	12	72

Merged error: 7.1b

Counts

72 → 12

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)

rewrite26.0ms

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))
15.0ms	(* (- y x) (/ 1 (- a t)))
1.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series184.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- a t))
56.0ms	(* (- y x) (/ 1 (- a t)))
93.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

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

prune279.0ms

Filtered

114 candidates to 70 candidates (61.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	112	14	126

Merged error: 7.1b

Counts

126 → 14

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
3.7b	(* (/ (- y x) (- a t)) (- z t))
4.1b	(+ (* (/ (- y x) (- a t)) (- z t)) x)

rewrite57.0ms

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:

9.0ms	(/ (- y x) (- a t))
22.0ms	(* (/ (- y x) (- a t)) (- z t))
17.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)

series416.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- y x) (- a t))
215.0ms	(* (/ (- y x) (- a t)) (- z t))
148.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)

simplify93.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	684	1508
1	2581	1283
2	5001	1263

prune464.0ms

Filtered

179 candidates to 118 candidates (65.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	171	8	179
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	174	19	193

Merged error: 7.1b

Counts

193 → 19

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.2b	(* (- y x) (/ (- z t) (- a t)))
2.8b	(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite51.0ms

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:

9.0ms	(/ (- z t) (- a t))
21.0ms	(* (- y x) (/ (- z t) (- a t)))
14.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)

series352.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- z t) (- a t))
136.0ms	(* (- y x) (/ (- z t) (- a t)))
160.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	491	904
1	2052	854
2	5002	852

prune317.0ms

Filtered

135 candidates to 95 candidates (70.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	131	4	135
Fresh	7	10	17
Picked	1	0	1
Done	0	1	1
Total	139	15	154

Merged error: 4.3b

Counts

154 → 15

regimes441.0ms

Accuracy

28.9% (5.7b remaining)

Error of 9.6b against oracle of 3.9b and baseline of 11.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	22
1	30	22

end0.0ms

sample728.0ms

Algorithm

intervals

Results

264.0ms	7806×	body	80	valid
64.0ms	484×	body	640	valid
44.0ms	270×	body	1280	valid
44.0ms	416×	body	320	valid
18.0ms	278×	body	160	valid
5.0ms	28×	body	2560	valid