Details

sample73.0ms

Algorithm

intervals

Results

36.0ms

524×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
2.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
3.0b	(* (* (* x 18.0) y) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
1.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
7.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
28.0ms	(* (* (* x 18.0) y) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	447
1	1657	364
2	5001	364

prune381.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
2.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
3.0b	(* (* (* x 18.0) y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
1.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
7.0ms	(* (* (* x 18.0) y) z)

series2.9s

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (* 27.0 k))
21.0ms	(* (* x 18.0) y)
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
28.0ms	(* (* (* x 18.0) y) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	446
1	1546	363
2	5002	363

prune381.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
3.0b	(* (* (* x 18.0) y) z)
4.4b	(* (* (* (* x 18.0) y) z) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
7.0ms	(* (* (* x 18.0) y) z)
10.0ms	(* (* (* (* x 18.0) y) z) t)

series118.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
28.0ms	(* (* (* x 18.0) y) z)
51.0ms	(* (* (* (* x 18.0) y) z) t)

simplify75.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	368	453
1	2149	350
2	5001	350

prune378.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
7.3b	(* (* (* x 18.0) y) (* z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
14.0ms	(* (* (* x 18.0) y) (* z t))

series203.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
26.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
46.0ms	(* (* (* x 18.0) y) (* z t))

simplify77.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	431	546
1	2240	440
2	5002	435

prune352.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

73.6% (1.5b remaining)

Error of 1.8b against oracle of 0.3b and baseline of 6.1b

bsearch248.0ms

Steps

Iters	Range		Point
9	3.252098415772135e-59	8.112576833088945e-51	2.6464745267648656e-55
6	-2.523838684277967e-36	-4.631750030617223e-37	-6.428822398847758e-37

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	27
1	63	27

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

15983×

body

valid