Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

286×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(fma (/ (- y z) (- a z)) t x)

rewrite12.0ms

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:

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

series141.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- y z) (- a z))
86.0ms	(fma (/ (- y z) (- a z)) t x)

simplify67.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune189.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ z (- a z))
1.5b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

694×	`*-un-lft-identity`
684×	`add-sqr-sqrt`
678×	`times-frac`
441×	`prod-diff`
402×	`add-cube-cbrt`
145×	`distribute-lft-out--`
139×	`difference-of-squares`
92×	`associate-/r/`
47×	`flip3--` `flip--`
46×	`div-inv`
21×	`fma-neg`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `fma-udef` `sub-div`

Counts

3 → 542

Calls

3 calls:

42.0ms	(- (/ y (- a z)) (/ z (- a z)))
6.0ms	(/ z (- a z))
1.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series302.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (/ y (- a z)) (/ z (- a z)))
47.0ms	(/ z (- a z))
181.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify184.0ms

Algorithm

egg-herbie

Counts

551 → 551

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	1199	15500
1	3118	11542
2	5001	10301

prune820.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.2b	(/ 1 (/ (- a z) (- y z)))
1.5b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite37.0ms

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))
16.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series396.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- a z) (- y z))
145.0ms	(/ 1 (/ (- a z) (- y z)))
196.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify78.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (59.0ms)

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

prune415.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ t (- a z)) (- y z)) x)
0.0b	(/ t (- a z))
10.0b	(* (/ t (- a z)) (- y z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

13.0ms	(+ (* (/ t (- a z)) (- y z)) x)
6.0ms	(/ t (- a z))
14.0ms	(* (/ t (- a z)) (- y z))

series425.0ms

Counts

3 → 9

Calls

3 calls:

231.0ms	(+ (* (/ t (- a z)) (- y z)) x)
31.0ms	(/ t (- a z))
163.0ms	(* (/ t (- a z)) (- y z))

simplify70.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	567	1124
1	2257	891
2	5001	883

prune394.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

66.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch72.0ms

Steps

Iters	Range		Point
6	7.3004296198747905e-93	5.277673096345458e-92	2.24875974073024e-92
7	-1.6683370620997601e-59	-2.7212666957247705e-61	-4.564002465788755e-61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	31	11
2	31	11

end0.0ms

sample532.0ms

Algorithm

intervals

Results

277.0ms	8704×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid