Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

279×

body

valid

simplify57.0ms

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

prune6.0ms

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)

rewrite28.0ms

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:

26.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series115.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- a z))
66.0ms	(fma (/ (- y z) (- a z)) t x)

simplify63.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

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

prune178.0ms

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

rewrite180.0ms

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:

105.0ms	(- (/ y (- a z)) (/ z (- a z)))
11.0ms	(/ y (- a z))
14.0ms	(/ z (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series290.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (/ y (- a z)) (/ z (- a z)))
26.0ms	(/ y (- a z))
45.0ms	(/ z (- a z))
155.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify180.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 2 (70.0ms)

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

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.5b	(fma (- (/ (/ y (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) (/ z (- a z))) t x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
0.0ms	(fma (- (/ (/ y (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) (/ z (- a z))) t x)

series579.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- a z))
137.0ms	(cbrt (- a z))
139.0ms	(cbrt (- a z))
156.0ms	(fma (- (/ (/ y (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) (/ z (- a z))) t x)

simplify132.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 4 (125.0ms)

Iter	Nodes	Cost
0	185	527
1	396	485
2	1145	474
3	4099	443
4	5001	440

prune277.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- (/ y (- a z)) (/ z (- a z))) t x))
1.5b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)
1.5b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)
1.5b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

720.0ms	(cbrt (fma (- (/ y (- a z)) (/ z (- a z))) t x))
149.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)
149.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)
149.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	131	463
1	318	409
2	1286	400
3	5001	395

prune179.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

79.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	19
1	25	19

end0.0ms

sample619.0ms

Algorithm

intervals

Results

259.0ms

8733×

body

valid