Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

299×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	52	3
3	88	3
4	102	3
5	102	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b	(* x (- 1.0 (* y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

72×	`prod-diff`
64×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
25×	`associate-r`
22×	`associate-l`
8×	`unswap-sqr`
7×	`*-commutative`
3×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 102

Calls

1 calls:

13.0ms

(* x (- 1.0 (* y z)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* x (- 1.0 (* y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	430	1388
1	1545	899
2	5001	872

prune79.0ms

Filtered

105 candidates to 27 candidates (25.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	9	106

Merged error: 2.2b

Counts

106 → 9

localize14.0ms

Local error

Found 2 expressions with local error:

2.7b	(* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
54.4b	(fma (- z) y (* z y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

4.0ms	(* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
1.0ms	(fma (- z) y (* z y))

series150.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
28.0ms	(fma (- z) y (* z y))

simplify54.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	108	301
1	428	250
2	1716	234
3	5002	199

prune109.0ms

Filtered

38 candidates to 31 candidates (81.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	38	9	47

Merged error: 2.2b

Counts

47 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
4.3b	(* x (- (* y z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`associate-r`
27×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
21×	`associate-l`
15×	`add-cube-cbrt`
14×	`distribute-rgt-neg-in`
12×	`distribute-lft-neg-in` `fma-def`
10×	`distribute-lft-out`
6×	`*-commutative`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-neg-out`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

2 → 84

Calls

2 calls:

32.0ms	(+ (* x 1.0) (* x (- (* y z))))
10.0ms	(* x (- (* y z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x 1.0) (* x (- (* y z))))
28.0ms	(* x (- (* y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	296	327
1	1487	294
2	5002	291

prune133.0ms

Filtered

90 candidates to 68 candidates (75.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	7	0	7
Picked	1	0	1
Done	0	1	1
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

1.9b	(* x (- (* (cbrt (* y z)) (cbrt (* y z)))))
8.8b	(cbrt (* y z))
8.8b	(cbrt (* y z))
8.8b	(cbrt (* y z))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

189×	`associate-r`
164×	`cbrt-prod`
121×	`add-sqr-sqrt`
70×	`associate-l`
61×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
57×	`*-un-lft-identity`
49×	`add-cube-cbrt`
42×	`unswap-sqr`
34×	`swap-sqr`
14×	`*-commutative`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`neg-mul-1` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`

Counts

4 → 210

Calls

4 calls:

40.0ms	(* x (- (* (cbrt (* y z)) (cbrt (* y z)))))
4.0ms	(cbrt (* y z))
4.0ms	(cbrt (* y z))
4.0ms	(cbrt (* y z))

series298.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (- (* (cbrt (* y z)) (cbrt (* y z)))))
71.0ms	(cbrt (* y z))
66.0ms	(cbrt (* y z))
74.0ms	(cbrt (* y z))

simplify82.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	721	1374
1	2825	1312
2	5002	1212

prune450.0ms

Filtered

222 candidates to 167 candidates (75.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	222	5	227

Merged error: 0.0b

Counts

227 → 5

regimes115.0ms

Accuracy

97.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	25
1	63	25
2	69	25
3	69	25

end0.0ms

sample373.0ms

Algorithm

intervals

Results

191.0ms

9584×

body

valid