Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

281×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
1.7b	(fma (/ y (- a t)) (- z t) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series238.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
208.0ms	(fma (/ y (- a t)) (- z t) x)

simplify170.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	164	265
1	441	246
2	1274	244
3	4357	243
4	5001	243

prune128.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
1.7b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
11×	`associate-*r/`
10×	`associate-/r*` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-/l*`
6×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `clear-num` `un-div-inv` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `frac-2neg` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow`

Counts

3 → 111

Calls

3 calls:

6.0ms	(/ 1 (- a t))
12.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series282.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- a t))
37.0ms	(* y (/ 1 (- a t)))
206.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify121.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	289	517
1	1135	447
2	4119	395
3	5002	395

prune194.0ms

Filtered

120 candidates to 69 candidates (57.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.7b	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

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

series860.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt y)
215.0ms	(cbrt y)
199.0ms	(cbrt y)
246.0ms	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	82	265
1	195	234
2	777	224
3	5002	222

prune167.0ms

Filtered

61 candidates to 52 candidates (85.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- z t) (/ (- a t) y)) x)
0.0b	(/ (- a t) y)
9.3b	(/ (- z t) (/ (- a t) y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
314×	`*-un-lft-identity`
312×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
112×	`fma-def`
78×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
26×	`associate-/r/`
20×	`associate-/l*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 318

Calls

3 calls:

47.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
6.0ms	(/ (- a t) y)
20.0ms	(/ (- z t) (/ (- a t) y))

series262.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
29.0ms	(/ (- a t) y)
120.0ms	(/ (- z t) (/ (- a t) y))

simplify126.0ms

Algorithm

egg-herbie

Counts

327 → 327

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	835	1795
1	3141	1738
2	5002	1738

prune602.0ms

Filtered

327 candidates to 228 candidates (69.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	325	2	327
Fresh	3	0	3
Picked	0	1	1
Done	1	2	3
Total	329	5	334

Merged error: 0b

Counts

334 → 5

regimes130.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample535.0ms

Algorithm

intervals

Results

269.0ms	8745×	body	80	valid
0.0ms	1×	body	320	valid