Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

339×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 8.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
8.5b	(/ (* y (- z t)) a)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

7.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) a)

series107.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* y (- z t))
63.0ms	(/ (* y (- z t)) a)

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	231	226
1	1033	189
2	5002	189

prune128.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (- z t))
6.5b	(/ y (/ a (- z t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

6.0ms	(/ a (- z t))
10.0ms	(/ y (/ a (- z t)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ a (- z t))
71.0ms	(/ y (/ a (- z t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	481	1051
1	2190	1013
2	5001	1004

prune378.0ms

Filtered

145 candidates to 107 candidates (73.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	147	6	153

Merged error: 0b

Counts

153 → 6

localize13.0ms

Local error

Found 1 expressions with local error:

8.0b	(* (/ y a) (- z t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 42

Calls

1 calls:

10.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify108.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	253	228
1	991	200
2	4155	200
3	5001	200

prune99.0ms

Filtered

45 candidates to 29 candidates (64.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	45	6	51

Merged error: 0b

Counts

51 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z t))
8.1b	(/ (/ y a) (/ 1 (- z t)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
384×	`add-sqr-sqrt` `*-un-lft-identity`
292×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
28×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
16×	`add-cbrt-cube` `associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

2 → 372

Calls

2 calls:

6.0ms	(/ 1 (- z t))
17.0ms	(/ (/ y a) (/ 1 (- z t)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ 1 (- z t))
65.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify92.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	1645	4160
1	5001	3766

prune746.0ms

Filtered

378 candidates to 205 candidates (54.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	378	6	384

Merged error: 0b

Counts

384 → 6

regimes371.0ms

Accuracy

85% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample635.0ms

Algorithm

intervals

Results

314.0ms

10643×

body

valid

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4