Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
2.0ms	17×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	10×	body	320	valid
1.0ms	12×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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: 10.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
4.2b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite15.0ms

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:

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

series159.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- a z))
110.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (50.0ms)

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

prune187.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
5.7b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite37.0ms

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:

6.0ms	(/ 1 (- a z))
28.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series191.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- a z))
49.0ms	(* (- y z) (/ 1 (- a z)))
109.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (34.0ms)

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

prune282.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
4.2b	(fma (pow (/ (- y z) (- a z)) 1) (- t x) x)

rewrite19.0ms

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:

16.0ms	(/ (- y z) (- a z))
0.0ms	(fma (pow (/ (- y z) (- a z)) 1) (- t x) x)

series158.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- y z) (- a z))
113.0ms	(fma (pow (/ (- y z) (- a z)) 1) (- t x) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	267	462
1	765	434
2	2990	432
3	5002	430

prune229.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.7b

localize18.0ms

Local error

Found 4 expressions with local error:

3.0b	(cbrt (* (- y z) (/ 1 (- a z))))
3.0b	(cbrt (* (- y z) (/ 1 (- a z))))
3.0b	(cbrt (* (- y z) (/ 1 (- a z))))
4.2b	(fma (* (* (cbrt (* (- y z) (/ 1 (- a z)))) (cbrt (* (- y z) (/ 1 (- a z))))) (cbrt (* (- y z) (/ 1 (- a z))))) (- t x) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
6×	`frac-times` `flip3--` `associate-*l/` `flip--`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-*r/` `un-div-inv`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
8.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
8.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
0.0ms	(fma (* (* (cbrt (* (- y z) (/ 1 (- a z)))) (cbrt (* (- y z) (/ 1 (- a z))))) (cbrt (* (- y z) (/ 1 (- a z))))) (- t x) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
502.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
318.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
117.0ms	(fma (* (* (cbrt (* (- y z) (/ 1 (- a z)))) (cbrt (* (- y z) (/ 1 (- a z))))) (cbrt (* (- y z) (/ 1 (- a z))))) (- t x) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	232	802
1	690	727
2	3022	694
3	5002	677

prune290.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.7b

regimes395.0ms

Accuracy

33.1% (5.3b remaining)

Error of 8.9b against oracle of 3.6b and baseline of 11.6b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	22
1	32	22

end0.0ms

sample672.0ms

Algorithm

intervals

Results

255.0ms	7764×	body	80	valid
63.0ms	500×	body	640	valid
37.0ms	421×	body	320	valid
35.0ms	236×	body	1280	valid
16.0ms	265×	body	160	valid
2.0ms	14×	body	2560	valid