Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	251×	body	80	valid
2.0ms	17×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1912	5
6	4581	5
7	5001	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.4b	(fma (/ (- y z) (- a z)) (- t x) 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) x)

series171.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- a z))
122.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	265	450
1	729	425
2	2562	423
3	5002	421

prune187.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
3.4b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

11.0ms	(/ 1 (- a z))
45.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series209.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- a z))
53.0ms	(* (- y z) (/ 1 (- a z)))
121.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	340	602
1	1472	525
2	5002	481

prune255.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.4b	(fma (/ (- y z) (- a z)) (- t x) 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) x)

series176.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) (- a z))
126.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	265	450
1	729	425
2	2562	423
3	5002	421

prune177.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
8.1b	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

rewrite13.0ms

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

series574.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- y z))
147.0ms	(cbrt (- y z))
152.0ms	(cbrt (- y z))
124.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	196	519
1	456	474
2	1458	457
3	5001	433

prune261.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.5b

regimes316.0ms

Accuracy

21.7% (5.8b remaining)

Error of 10.0b against oracle of 4.2b and baseline of 11.6b

bsearch65.0ms

Steps

Iters	Range		Point
7	8.368743468625914e+152	2.910979858804981e+154	2.0767442654045257e+154
8	-2.5311601784297375e+188	-8.07638306678949e+183	-2.144165143768363e+186

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample783.0ms

Algorithm

intervals

Results

250.0ms	7839×	body	80	valid
56.0ms	482×	body	640	valid
36.0ms	263×	body	1280	valid
36.0ms	428×	body	320	valid
17.0ms	245×	body	160	valid
2.0ms	9×	body	2560	valid