Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	240×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	13×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	1×	body	2560	valid

simplify73.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
5.1b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite17.0ms

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:

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

series158.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- y z) (- a z))
111.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (54.0ms)

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

prune209.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.1b	(* (/ (- y z) (- a z)) (- t x))
3.8b	(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite70.0ms

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:

11.0ms	(/ (- y z) (- a z))
37.0ms	(* (/ (- y z) (- a z)) (- t x))
14.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

series526.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- y z) (- a z))
303.0ms	(* (/ (- y z) (- a z)) (- t x))
176.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (59.0ms)

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

prune480.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.0b	(/ (- y z) (- a z))
1.3b	(* t (/ (- y z) (- a z)))
4.5b	(fma (- x) (/ (- y z) (- a z)) x)

rewrite57.0ms

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-r`
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-l` `div-inv`
2×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `fma-udef`

Counts

4 → 170

Calls

4 calls:

11.0ms	(/ (- y z) (- a z))
11.0ms	(/ (- y z) (- a z))
24.0ms	(* t (/ (- y z) (- a z)))
0.0ms	(fma (- x) (/ (- y z) (- a z)) x)

series238.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (- y z) (- a z))
52.0ms	(/ (- y z) (- a z))
67.0ms	(* t (/ (- y z) (- a z)))
72.0ms	(fma (- x) (/ (- y z) (- a z)) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	381	1106
1	1480	1040
2	5001	1040

prune761.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
1.3b	(* t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))))
4.5b	(fma (- x) (/ (- y z) (- a z)) x)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
67×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
51×	`associate-r`
36×	`cbrt-prod`
27×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`distribute-lft-out--` `difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `cbrt-div` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3--` `associate-l` `associate-/r/` `flip--`
2×	`pow1/3` `div-inv`
1×	`associate-r/` `pow-prod-down` `-commutative` `fma-udef`

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
56.0ms	(* t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))))
0.0ms	(fma (- x) (/ (- y z) (- a z)) x)

series431.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- y z))
144.0ms	(cbrt (- y z))
65.0ms	(* t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))))
75.0ms	(fma (- x) (/ (- y z) (- a z)) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	627	1272
1	2809	1154
2	5001	1117

prune495.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.3b

regimes428.0ms

Accuracy

0% (5.1b remaining)

Error of 8.5b against oracle of 3.4b and baseline of 8.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	26
1	23	26

end0.0ms

sample698.0ms

Algorithm

intervals

Results

258.0ms	7829×	body	80	valid
59.0ms	452×	body	640	valid
43.0ms	290×	body	1280	valid
40.0ms	409×	body	320	valid
17.0ms	270×	body	160	valid
4.0ms	20×	body	2560	valid