Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

279×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune2.0ms

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: 0.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ x (* y (/ (- z t) (- z a))))
42.0ms	(/ (- z t) (- z a))
62.0ms	(* y (/ (- z t) (- z a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune276.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.6b	(/ 1 (/ (- z a) (- z t)))
1.0b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
8.0ms	(/ (- z a) (- z t))
15.0ms	(/ 1 (/ (- z a) (- z t)))
28.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
44.0ms	(/ (- z a) (- z t))
92.0ms	(/ 1 (/ (- z a) (- z t)))
128.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify111.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	954	2833
1	4775	2544
2	5002	2258

prune622.0ms

Filtered

350 candidates to 184 candidates (52.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	345	5	350
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	350	7	357

Merged error: 0b

Counts

357 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))

series580.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- z t))
145.0ms	(cbrt (- z a))
140.0ms	(cbrt (- z a))
150.0ms	(cbrt (- z a))

simplify163.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (157.0ms)

Iter	Nodes	Cost
0	243	428
1	523	408
2	1374	396
3	4708	375
4	5001	367

prune302.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	73	6	79

Merged error: 0b

Counts

79 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
2.7b	(cbrt (/ (- z a) (- z t)))
2.7b	(cbrt (/ (- z a) (- z t)))
2.7b	(cbrt (/ (- z a) (- z t)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

38.0ms	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
7.0ms	(cbrt (/ (- z a) (- z t)))
7.0ms	(cbrt (/ (- z a) (- z t)))
7.0ms	(cbrt (/ (- z a) (- z t)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
126.0ms	(cbrt (/ (- z a) (- z t)))
121.0ms	(cbrt (/ (- z a) (- z t)))
132.0ms	(cbrt (/ (- z a) (- z t)))

simplify136.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	381	3471
1	1199	3405
2	4304	3218
3	5002	3212

prune822.0ms

Filtered

288 candidates to 176 candidates (61.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	288	6	294

Merged error: 0b

Counts

294 → 6

regimes245.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	20
1	22	20

end0.0ms

sample614.0ms

Algorithm

intervals

Results

316.0ms	8747×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid