Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

279×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

22.0ms	(/ (- z t) (- z a))
0.0ms	(fma y (/ (- z t) (- z a)) x)

series104.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (- z t) (- z a))
64.0ms	(fma y (/ (- z t) (- z a)) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	260	433
1	705	410
2	2411	410
3	5001	410

prune173.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.1b	(/ 1 (/ (- z a) (- z t)))
1.0b	(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite61.0ms

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:

22.0ms	(/ (- z a) (- z t))
27.0ms	(/ 1 (/ (- z a) (- z t)))
0.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

series198.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- z a) (- z t))
86.0ms	(/ 1 (/ (- z a) (- z t)))
73.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	624	1890
1	2773	1707
2	5003	1538

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- z a) (- z t))) x)
0.0b	(/ (- z a) (- z t))
2.5b	(/ y (/ (- z a) (- z t)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

120.0ms	(+ (/ y (/ (- z a) (- z t))) x)
22.0ms	(/ (- z a) (- z t))
23.0ms	(/ y (/ (- z a) (- z t)))

series222.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (/ y (/ (- z a) (- z t))) x)
40.0ms	(/ (- z a) (- z t))
105.0ms	(/ y (/ (- z a) (- z t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	716	1918
1	3104	1859
2	5001	1857

prune769.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.0b	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
5.3b	(cbrt (/ (- z t) (- z a)))
5.3b	(cbrt (/ (- z t) (- z a)))
5.3b	(cbrt (/ (- z t) (- z a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
9.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
111.0ms	(cbrt (/ (- z t) (- z a)))
112.0ms	(cbrt (/ (- z t) (- z a)))
118.0ms	(cbrt (/ (- z t) (- z a)))

simplify83.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 4 (70.0ms)

Iter	Nodes	Cost
0	238	1445
1	439	1387
2	961	1374
3	2460	1348
4	5001	1339

prune440.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

62.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch49.0ms

Steps

Iters	Range		Point
7	3.130042746858075e-44	6.766051332740363e-42	5.1637241889163004e-43
6	-1093312.8234859793	-167476.95725593	-901067.9372055754

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	10
1	25	10

end0.0ms

sample635.0ms

Algorithm

intervals

Results

247.0ms

8733×

body

valid