Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

279×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune7.0ms

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))
2.2b	(fma (/ (- y z) (- a z)) t x)

rewrite26.0ms

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:

23.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- a z))
79.0ms	(fma (/ (- y z) (- a z)) t x)

simplify65.0ms

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

prune187.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ y (- a z))
0.0b	(/ z (- a z))
2.2b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

104.0ms	(- (/ y (- a z)) (/ z (- a z)))
13.0ms	(/ y (- a z))
11.0ms	(/ z (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series315.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (/ y (- a z)) (/ z (- a z)))
32.0ms	(/ y (- a z))
45.0ms	(/ z (- a z))
172.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify192.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1233	15689
1	3297	11705
2	5001	11613

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (- (* (/ y (- (* a a) (* z z))) (+ a z)) (/ z (- a z))) t x)
3.3b	(- (* a a) (* z z))
7.9b	(/ y (- (* a a) (* z z)))
16.2b	(* (/ y (- (* a a) (* z z))) (+ a z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`times-frac`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

0.0ms	(fma (- (* (/ y (- (* a a) (* z z))) (+ a z)) (/ z (- a z))) t x)
8.0ms	(- (* a a) (* z z))
15.0ms	(/ y (- (* a a) (* z z)))
47.0ms	(* (/ y (- (* a a) (* z z))) (+ a z))

series458.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(fma (- (* (/ y (- (* a a) (* z z))) (+ a z)) (/ z (- a z))) t x)
34.0ms	(- (* a a) (* z z))
47.0ms	(/ y (- (* a a) (* z z)))
58.0ms	(* (/ y (- (* a a) (* z z))) (+ a z))

simplify64.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	519	889
1	2238	798
2	5002	734

prune408.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
13.0b	(/ (* (- y z) t) (- a z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

26.0ms	(* (- y z) t)
23.0ms	(/ (* (- y z) t) (- a z))

series100.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- y z) t)
65.0ms	(/ (* (- y z) t) (- a z))

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	265	278
1	1212	241
2	5001	241

prune159.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes119.0ms

Accuracy

26.2% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.1b

bsearch82.0ms

Steps

Iters	Range		Point
7	-1.3545250609005557e-282	-5.383531637539676e-284	-8.0781943604068975e-283
9	-2.6608514669978e-160	-2.7714262171513926e-167	-2.0843885003280172e-163

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	17
1	31	17

end0.0ms

sample599.0ms

Algorithm

intervals

Results

248.0ms

8729×

body

valid