Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

279×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (20.0ms)

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: 1.1b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.2b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite10.0ms

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:

7.0ms	(/ a (+ (- t z) 1.0))
1.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ a (+ (- t z) 1.0))
140.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify79.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (19.0ms)

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

prune119.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Merged error: 0.7b

Counts

57 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

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:

8.0ms	(/ (+ (- t z) 1.0) a)
39.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
17.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series264.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ (- t z) 1.0) a)
110.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
124.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify156.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1825	16290
1	5001	12828

prune997.0ms

Filtered

510 candidates to 218 candidates (42.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	507	3	510
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	510	5	515

Merged error: 0.0b

Counts

515 → 5

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)

rewrite37.0ms

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))
14.0ms	(/ (- y z) (+ (- t z) 1.0))
15.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series246.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
48.0ms	(/ (- y z) (+ (- t z) 1.0))
116.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (38.0ms)

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

prune244.0ms

Filtered

135 candidates to 88 candidates (65.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	135	5	140

Merged error: 0b

Counts

140 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
33×	`prod-diff`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
20×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
8×	`associate-/r/`
7×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3-+` `associate-*l/` `flip-+` `div-inv`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `associate-r` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

11.0ms	(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
6.0ms	(* (- y z) a)
12.0ms	(/ (* (- y z) a) (+ (- t z) 1.0))

series209.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
37.0ms	(* (- y z) a)
87.0ms	(/ (* (- y z) a) (+ (- t z) 1.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	550	1632
1	2374	1181
2	5002	1177

prune182.0ms

Filtered

116 candidates to 72 candidates (62.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	116	5	121

Merged error: 0b

Counts

121 → 5

regimes208.0ms

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

sample610.0ms

Algorithm

intervals

Results

353.0ms	8480×	body	80	valid
0.0ms	2×	body	640	valid