Details

sample50.0ms

Algorithm

intervals

Results

32.0ms

345×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.5b	(* (* y 9.0) z)
5.5b	(* (* (* y 9.0) z) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series225.0ms

Counts

3 → 9

Calls

3 calls:

173.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
32.0ms	(* (* (* y 9.0) z) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	225	316
1	1077	256
2	5001	256

prune182.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
5.6b	(* (* y 9.0) (* z t))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `associate-l` `*-commutative` `fma-udef`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
10.0ms	(* (* y 9.0) (* z t))

series198.0ms

Counts

2 → 6

Calls

2 calls:

167.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
31.0ms	(* (* y 9.0) (* z t))

simplify145.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	186	247
1	744	195
2	4128	195
3	5001	195

prune119.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
0.2b	(* 9.0 (* z t))
5.5b	(* y (* 9.0 (* z t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
6.0ms	(* 9.0 (* z t))
15.0ms	(* y (* 9.0 (* z t)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
19.0ms	(* 9.0 (* z t))
28.0ms	(* y (* 9.0 (* z t)))

simplify140.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	210	314
1	836	254
2	4494	254
3	5002	254

prune186.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.1b	(* (cbrt y) (* 9.0 (* z t)))
3.6b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1` `add-exp-log`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
28×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 88

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
19.0ms	(* (cbrt y) (* 9.0 (* z t)))
51.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

series604.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt y)
200.0ms	(cbrt y)
141.0ms	(* (cbrt y) (* 9.0 (* z t)))
53.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

simplify68.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	307	640
1	1456	472
2	5002	422

prune323.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes826.0ms

Accuracy

76.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.7b

bsearch205.0ms

Steps

Iters	Range		Point
10	5.771196196357939e-24	1.9218921607785524e-10	8.328673545610291e-20
9	-5.346835466478784e+105	-1.6676516911771328e+99	-1.6907638896107695e+99

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	14
1	42	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

975.0ms

11071×

body

valid