Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.7b	(fma y (/ (- z t) (- a 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	(/ (- z t) (- a t))
1.0ms	(fma y (/ (- z t) (- a t)) x)

series126.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- z t) (- a t))
75.0ms	(fma y (/ (- z t) (- a t)) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410

prune180.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	9	71

Merged error: 0.7b

Counts

71 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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

series377.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a t) (- z t))
140.0ms	(/ 1 (/ (- a t) (- z t)))
189.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	620	1891
1	2762	1708
2	5002	1537

prune349.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	226	6	232

Merged error: 0.7b

Counts

232 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.1b	(/ y (/ (- a t) (- z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

8.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series213.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- a t) (- z t))
156.0ms	(/ y (/ (- a t) (- z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	642	1801
1	2886	1748
2	5001	1745

prune478.0ms

Filtered

204 candidates to 138 candidates (67.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	201	3	204
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	204	6	210

Merged error: 0b

Counts

210 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(/ (cbrt y) (/ (cbrt (- a t)) (- z t)))
2.1b	(* (/ (cbrt y) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt y))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

1308×	`times-frac`
1027×	`add-sqr-sqrt`
817×	`*-un-lft-identity`
728×	`cbrt-prod`
479×	`add-cube-cbrt`
281×	`associate-r`
169×	`distribute-lft-out--` `difference-of-squares`
65×	`associate-l`
63×	`add-exp-log`
49×	`unswap-sqr`
46×	`associate-/r*`
30×	`cbrt-undiv` `div-exp`
29×	`associate-/r/`
27×	`add-cbrt-cube`
22×	`div-inv`
15×	`prod-exp` `cbrt-unprod`
13×	`flip3--` `flip--`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 804

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
20.0ms	(/ (cbrt y) (/ (cbrt (- a t)) (- z t)))
270.0ms	(* (/ (cbrt y) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt y))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

series831.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt y)
210.0ms	(cbrt y)
191.0ms	(/ (cbrt y) (/ (cbrt (- a t)) (- z t)))
218.0ms	(* (/ (cbrt y) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt y))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

simplify179.0ms

Algorithm

egg-herbie

Counts

816 → 816

Iterations

Useful iterations: 1 (59.0ms)

Iter	Nodes	Cost
0	2844	14233
1	5001	13991

prune2.9s

Filtered

816 candidates to 615 candidates (75.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	816	0	816
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	816	6	822

Merged error: 0b

Counts

822 → 6

regimes169.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	17
1	18	17

end0.0ms

sample799.0ms

Algorithm

intervals

Results

516.0ms

8754×

body

valid