Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

341×

body

valid

simplify153.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 4.1b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
6.1b	(* (* (* y 9.0) z) t)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

701×	`associate-l`
522×	`add-sqr-sqrt`
398×	`associate-+l+`
396×	`prod-diff`
296×	`*-un-lft-identity`
228×	`associate-r`
202×	`add-cube-cbrt`
187×	`unswap-sqr`
76×	`*-commutative`
32×	`distribute-lft-out--`
27×	`distribute-lft-out`
23×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`fma-def`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 572

Calls

4 calls:

99.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
8.0ms	(* (* y 9.0) z)
8.0ms	(* (* a 27.0) b)
14.0ms	(* (* (* y 9.0) z) t)

series253.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* y 9.0) z)
24.0ms	(* (* a 27.0) b)
31.0ms	(* (* (* y 9.0) z) t)

simplify238.0ms

Algorithm

egg-herbie

Counts

584 → 584

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	881	7981
1	4208	5703
2	5001	5343

prune1.8s

Filtered

584 candidates to 442 candidates (75.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	580	4	584
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	581	5	586

Merged error: 0b

Counts

586 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* z (* (* y 9.0) t))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* (* y 9.0) t)
4.9b	(* z (* (* y 9.0) t))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

522×	`add-sqr-sqrt`
475×	`associate-r`
398×	`associate-+l+`
396×	`prod-diff`
394×	`associate-l`
252×	`*-un-lft-identity`
202×	`add-cube-cbrt`
187×	`unswap-sqr`
76×	`*-commutative`
23×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`distribute-lft-out--`
15×	`fma-def` `distribute-lft-out`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 556

Calls

4 calls:

96.0ms	(+ (- (* x 2.0) (* z (* (* y 9.0) t))) (* (* a 27.0) b))
8.0ms	(* (* a 27.0) b)
8.0ms	(* (* y 9.0) t)
16.0ms	(* z (* (* y 9.0) t))

series276.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (- (* x 2.0) (* z (* (* y 9.0) t))) (* (* a 27.0) b))
24.0ms	(* (* a 27.0) b)
21.0ms	(* (* y 9.0) t)
45.0ms	(* z (* (* y 9.0) t))

simplify234.0ms

Algorithm

egg-herbie

Counts

568 → 568

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	877	7835
1	4269	5485
2	5001	5161

prune1.8s

Filtered

568 candidates to 441 candidates (77.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	566	2	568
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	569	4	573

Merged error: 0b

Counts

573 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* z (* (* y 9.0) t)))
0.2b	(* (* y 9.0) t)
0.3b	(fma a (* 27.0 b) (- (* x 2.0) (* z (* (* y 9.0) t))))
4.9b	(* z (* (* y 9.0) t))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

515×	`add-sqr-sqrt`
472×	`associate-r`
396×	`prod-diff`
355×	`associate-l`
208×	`*-un-lft-identity`
200×	`add-cube-cbrt`
184×	`unswap-sqr`
75×	`*-commutative`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`fma-neg`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

4 → 524

Calls

4 calls:

46.0ms	(- (* x 2.0) (* z (* (* y 9.0) t)))
9.0ms	(* (* y 9.0) t)
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* z (* (* y 9.0) t))))
16.0ms	(* z (* (* y 9.0) t))

series350.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (* x 2.0) (* z (* (* y 9.0) t)))
21.0ms	(* (* y 9.0) t)
195.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* z (* (* y 9.0) t))))
44.0ms	(* z (* (* y 9.0) t))

simplify157.0ms

Algorithm

egg-herbie

Counts

536 → 536

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	1503	11021
1	5001	8270

prune817.0ms

Filtered

536 candidates to 199 candidates (37.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	536	0	536
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	536	4	540

Merged error: 0b

Counts

540 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* a 27.0))
0.6b	(cbrt (* a 27.0))
0.6b	(cbrt (* a 27.0))
4.9b	(* z (* (* y 9.0) t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
37×	`associate-r`
36×	`cbrt-prod`
27×	`associate-l`
19×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube` `unswap-sqr`
6×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 113

Calls

4 calls:

4.0ms	(cbrt (* a 27.0))
4.0ms	(cbrt (* a 27.0))
5.0ms	(cbrt (* a 27.0))
19.0ms	(* z (* (* y 9.0) t))

series742.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (* a 27.0))
232.0ms	(cbrt (* a 27.0))
235.0ms	(cbrt (* a 27.0))
33.0ms	(* z (* (* y 9.0) t))

simplify70.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	323	538
1	1523	495
2	5002	489

prune350.0ms

Filtered

125 candidates to 93 candidates (74.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Merged error: 0b

Counts

129 → 4

regimes436.0ms

Accuracy

78.7% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	18
1	50	18
2	50	18

end0.0ms

sample921.0ms

Algorithm

intervals

Results

509.0ms

11048×

body

valid