Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

278×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

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

series128.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (- a z))
76.0ms	(fma (/ (- y z) (- a z)) t x)

simplify62.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune168.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.4b	(/ 1 (/ (- a z) (- y z)))
1.7b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

9.0ms	(/ (- a z) (- y z))
12.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series367.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- a z) (- y z))
136.0ms	(/ 1 (/ (- a z) (- y z)))
183.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify78.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	620	1891
1	2764	1708
2	5002	1537

prune330.0ms

Filtered

223 candidates to 107 candidates (48.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	224	5	229

Merged error: 0b

Counts

229 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

12.3b

(* (/ t (- a z)) (- y z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`associate-l`
18×	`prod-diff`
16×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `flip3--` `flip--`
2×	`frac-times` `sub-neg` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

13.0ms

(* (/ t (- a z)) (- y z))

series150.0ms

Counts

1 → 3

Calls

1 calls:

150.0ms

(* (/ t (- a z)) (- y z))

simplify50.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	409	645
1	1648	491
2	5001	485

prune127.0ms

Filtered

73 candidates to 44 candidates (60.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	73	5	78

Merged error: 0b

Counts

78 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

12.2b

(/ (* (- y z) t) (- a z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

9.0ms

(/ (* (- y z) t) (- a z))

series67.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (* (- y z) t) (- a z))

simplify91.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	186
1	900	159
2	4482	159
3	5001	159

prune66.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	34	5	39

Merged error: 0b

Counts

39 → 5

regimes213.0ms

Accuracy

74.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample528.0ms

Algorithm

intervals

Results

268.0ms	8745×	body	80	valid
0.0ms	1×	body	1280	valid