Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

267×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (31.0ms)

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

prune10.0ms

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: 1.4b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.4b	(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:

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

series203.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ a (+ (- t z) 1.0))
166.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify104.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (29.0ms)

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

prune161.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	8	57

Merged error: 1.2b

Counts

57 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* a (/ 1 (+ (- t z) 1.0)))
1.4b	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
32×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
14×	`distribute-lft-out`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

9.0ms	(/ 1 (+ (- t z) 1.0))
14.0ms	(* a (/ 1 (+ (- t z) 1.0)))
1.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

series241.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (+ (- t z) 1.0))
36.0ms	(* a (/ 1 (+ (- t z) 1.0)))
162.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	329	603
1	1424	518
2	5001	473

prune224.0ms

Filtered

108 candidates to 62 candidates (57.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Merged error: 1.2b

Counts

116 → 8

localize11.0ms

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))

rewrite128.0ms

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:

47.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.0ms	(/ (+ (- t z) 1.0) a)
16.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series267.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
37.0ms	(/ (+ (- t z) 1.0) a)
135.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify173.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1825	16290
1	5001	12828

prune953.0ms

Filtered

510 candidates to 218 candidates (42.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	504	6	510
Fresh	5	0	5
Picked	1	0	1
Done	1	1	2
Total	511	7	518

Merged error: 0b

Counts

518 → 7

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

rewrite43.0ms

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))
17.0ms	(/ (- y z) (+ (- t z) 1.0))
17.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series297.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
60.0ms	(/ (- y z) (+ (- t z) 1.0))
137.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify64.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (51.0ms)

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

prune283.0ms

Filtered

135 candidates to 88 candidates (65.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	135	7	142

Merged error: 0b

Counts

142 → 7

regimes209.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample562.0ms

Algorithm

intervals

Results

308.0ms	8465×	body	80	valid
0.0ms	2×	body	640	valid