Details

sample222.0ms

Algorithm

intervals

Results

205.0ms

354×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	36	3
2	80	3
3	123	3
4	141	3
5	143	3
6	143	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 8.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (* x y) (* z y))
8.2b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `flip3--` `distribute-rgt-out--` `associate-*l/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series77.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* x y) (* z y))
42.0ms	(* (- (* x y) (* z y)) t)

simplify108.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	173	232
1	656	199
2	3963	195
3	5001	195

prune101.0ms

Filtered

46 candidates to 37 candidates (80.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	38	8	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	9	47

Merged error: 0.0b

Counts

47 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
5.9b	(* y (* (- x z) t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

6.0ms	(* (- x z) t)
7.0ms	(* y (* (- x z) t))

series67.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- x z) t)
37.0ms	(* y (* (- x z) t))

simplify110.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	190	207
1	802	174
2	4832	174
3	5001	174

prune94.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	50	11	61

Merged error: 0.0b

Counts

61 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(* (cbrt t) (cbrt t))
5.9b	(* y (* (* (- x z) (* (cbrt t) (cbrt t))) (cbrt t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
23×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-exp-log`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
12×	`pow-prod-down`
11×	`prod-exp` `cbrt-unprod`
9×	`associate-l`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `flip--`

Counts

4 → 96

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
5.0ms	(* (cbrt t) (cbrt t))
17.0ms	(* y (* (* (- x z) (* (cbrt t) (cbrt t))) (cbrt t)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt t)
168.0ms	(cbrt t)
191.0ms	(* (cbrt t) (cbrt t))
66.0ms	(* y (* (* (- x z) (* (cbrt t) (cbrt t))) (cbrt t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	339	580
1	1618	455
2	5001	408

prune221.0ms

Filtered

108 candidates to 78 candidates (72.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	107	12	119

Merged error: 0b

Counts

119 → 12

localize8.0ms

Local error

Found 1 expressions with local error:

8.1b	(* (* t y) (- x z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

8.0ms

(* (* t y) (- x z))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (* t y) (- x z))

simplify40.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	303	430
1	1277	281
2	5002	269

prune46.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	2	6	8
Picked	0	1	1
Done	0	3	3
Total	49	12	61

Merged error: 0b

Counts

61 → 12

regimes354.0ms

Accuracy

69.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample540.0ms

Algorithm

intervals

Results

270.0ms

10646×

body

valid