Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

275×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (34.0ms)

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

prune7.0ms

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: 0.6b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.6b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

8.0ms	(/ a (+ (- t z) 1.0))
1.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series198.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ a (+ (- t z) 1.0))
160.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify96.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	209	330
1	714	301
2	3086	297
3	5001	297

prune165.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0.5b

Counts

57 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 179

Calls

2 calls:

9.0ms	(/ (+ (- t z) 1.0) a)
15.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series170.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ (- t z) 1.0) a)
135.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify87.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	639	1777
1	2468	1714
2	5001	1713

prune430.0ms

Filtered

185 candidates to 107 candidates (57.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	4	0	4
Picked	0	1	1
Done	1	0	1
Total	188	3	191

Merged error: 0b

Counts

191 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
1.6b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`

Counts

2 → 106

Calls

2 calls:

11.0ms	(/ (- y z) (+ (- t z) 1.0))
16.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series192.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (+ (- t z) 1.0))
139.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	388	776
1	1314	719
2	5002	715

prune267.0ms

Filtered

112 candidates to 69 candidates (61.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Merged error: 0b

Counts

115 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) a)
8.1b	(/ (* (- y z) a) (+ (- t z) 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `associate-*l/` `distribute-lft-out`
3×	`associate-r` `distribute-lft-out--`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

7.0ms	(* (- y z) a)
13.0ms	(/ (* (- y z) a) (+ (- t z) 1.0))

series109.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y z) a)
79.0ms	(/ (* (- y z) a) (+ (- t z) 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	296	317
1	1358	271
2	5003	271

prune164.0ms

Filtered

61 candidates to 44 candidates (72.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	61	3	64

Merged error: 0b

Counts

64 → 3

regimes146.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample570.0ms

Algorithm

intervals

Results

306.0ms	8480×	body	80	valid
0.0ms	1×	body	640	valid