Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

274×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (26.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune8.0ms

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: 2.5b

Counts

2 → 2

localize13.0ms

Local error

Found 1 expressions with local error:

2.5b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series147.0ms

Counts

1 → 3

Calls

1 calls:

147.0ms

(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify67.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (64.0ms)

Iter	Nodes	Cost
0	73	99
1	218	86
2	673	83
3	2358	83
4	5001	79

prune55.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	8	5	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	8	7	15

Merged error: 1.9b

Counts

15 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
8.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

40.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.0ms	(/ (+ (- t z) 1.0) a)
18.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series257.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms	(/ (+ (- t z) 1.0) a)
129.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify170.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1825	16290
1	5001	12828

prune851.0ms

Filtered

510 candidates to 218 candidates (42.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	505	5	510
Fresh	5	0	5
Picked	1	0	1
Done	0	1	1
Total	511	6	517

Merged error: 0.0b

Counts

517 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
29×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`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` `fma-neg` `associate-r` `prod-diff` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 126

Calls

3 calls:

3.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
15.0ms	(/ (- y z) (+ (- t z) 1.0))
16.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series269.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
54.0ms	(/ (- y z) (+ (- t z) 1.0))
123.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify59.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	470	995
1	1574	917
2	5001	911

prune271.0ms

Filtered

135 candidates to 88 candidates (65.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	136	5	141

Merged error: 0.0b

Counts

141 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.1b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

4100×	`times-frac`
3786×	`*-un-lft-identity`
2452×	`add-sqr-sqrt`
1885×	`add-cube-cbrt`
1224×	`prod-diff`
543×	`distribute-lft-out--`
542×	`distribute-lft-out`
278×	`difference-of-squares`
183×	`div-inv`
112×	`associate-/r/`
54×	`flip3-+` `flip-+`
36×	`associate-/l*`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 1778

Calls

3 calls:

143.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
24.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series281.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
54.0ms	(/ (- y z) (+ (- t z) 1.0))
138.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify725.0ms

Algorithm

egg-herbie

Counts

1787 → 1787

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5001	79487

prune4.3s

Filtered

1787 candidates to 860 candidates (48.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1786	1	1787
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	1786	6	1792

Merged error: 0b

Counts

1792 → 6

regimes153.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample530.0ms

Algorithm

intervals

Results

282.0ms	8486×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid