Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	261×	body	80	valid
2.0ms	7×	body	1280	valid
2.0ms	8×	body	640	valid
2.0ms	9×	body	320	valid
2.0ms	13×	body	160	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.9b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite16.0ms

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:

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

series44.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ (- y z) (- a z))
34.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (57.0ms)

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

prune554.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.3b	(* (/ (- y z) (- a z)) (- t x))
2.8b	(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 170

Calls

3 calls:

13.0ms	(/ (- y z) (- a z))
39.0ms	(* (/ (- y z) (- a z)) (- t x))
15.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

series140.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- y z) (- a z))
65.0ms	(* (/ (- y z) (- a z)) (- t x))
62.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify78.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	682	1497
1	2657	1254
2	5002	1252

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.0b	(/ (- y z) (- a z))
0.3b	(* (/ (- y z) (- a z)) t)
3.0b	(fma (- x) (/ (- y z) (- a z)) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

113×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
76×	`times-frac`
40×	`add-cube-cbrt`
34×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r` `associate-/l`
6×	`pow1` `associate-/r/`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative` `fma-udef`

Counts

4 → 170

Calls

4 calls:

12.0ms	(/ (- y z) (- a z))
13.0ms	(/ (- y z) (- a z))
29.0ms	(* (/ (- y z) (- a z)) t)
0.0ms	(fma (- x) (/ (- y z) (- a z)) x)

series74.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (- y z) (- a z))
10.0ms	(/ (- y z) (- a z))
29.0ms	(* (/ (- y z) (- a z)) t)
24.0ms	(fma (- x) (/ (- y z) (- a z)) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	394	1111
1	1230	1045
2	5001	1044

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.3b	(* (/ (- y z) (- a z)) t)
0.4b	(/ 1 (/ (- a z) (- y z)))
3.0b	(fma (- x) (/ 1 (/ (- a z) (- y z))) x)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

244×	`times-frac`
233×	`add-sqr-sqrt`
228×	`*-un-lft-identity`
104×	`add-cube-cbrt`
62×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
31×	`associate-l`
22×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`associate-/r/`
9×	`div-exp`
8×	`associate-/l*`
7×	`pow1` `flip3--` `flip--` `div-inv`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`rec-exp` `frac-2neg` `1-exp` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 266

Calls

4 calls:

12.0ms	(/ (- y z) (- a z))
27.0ms	(* (/ (- y z) (- a z)) t)
16.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (- x) (/ 1 (/ (- a z) (- y z))) x)

series81.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (- y z) (- a z))
26.0ms	(* (/ (- y z) (- a z)) t)
18.0ms	(/ 1 (/ (- a z) (- y z)))
27.0ms	(fma (- x) (/ 1 (/ (- a z) (- y z))) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	835	2211
1	3559	1981
2	5002	1821

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

regimes640.0ms

Accuracy

3.2% (4.1b remaining)

Error of 7.4b against oracle of 3.3b and baseline of 7.5b

bsearch34.0ms

Steps

Iters	Range		Point
9	-6.363389613672044e+225	-1.16317095618376e+217	-6.195549894709601e+225

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	25
1	25	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

501.0ms	7822×	body	80	valid
116.0ms	477×	body	640	valid
84.0ms	450×	body	320	valid
69.0ms	223×	body	1280	valid
35.0ms	289×	body	160	valid
7.0ms	20×	body	2560	valid