Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

385×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	33	7
1	73	7
2	153	7
3	290	7
4	546	6
5	892	6
6	1280	6
7	1781	6
8	2165	6
9	2429	6
10	2429	6

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y x (fma (- (/ a 4.0)) b c))
0.0b	(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma y x (fma (- (/ a 4.0)) b c))
0.0ms	(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

series216.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(fma y x (fma (- (/ a 4.0)) b c))
143.0ms	(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

simplify78.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	76	172
1	185	146
2	562	146
3	3117	146
4	5002	146

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (* x y) (/ (* z t) 16.0))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

42×	`prod-diff`
40×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
24×	`associate-+l+`
19×	`add-log-exp`
18×	`times-frac`
6×	`fma-def` `sum-log` `div-inv`
4×	`diff-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `fma-neg` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `associate--l+` `frac-sub` `distribute-lft-out` `difference-of-squares`
1×	`associate-+l-` `flip3--` `flip--`

Counts

3 → 105

Calls

3 calls:

140.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
40.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
4.0ms	(+ (* x y) (/ (* z t) 16.0))

series276.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
86.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
44.0ms	(+ (* x y) (/ (* z t) 16.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	459	1430
1	1748	1106
2	5002	1027

prune370.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
7.1b	(cbrt (/ (* a b) 4.0))
7.1b	(cbrt (/ (* a b) 4.0))
7.1b	(cbrt (/ (* a b) 4.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

11.0ms	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
2.0ms	(cbrt (/ (* a b) 4.0))
2.0ms	(cbrt (/ (* a b) 4.0))
2.0ms	(cbrt (/ (* a b) 4.0))

series450.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
102.0ms	(cbrt (/ (* a b) 4.0))
99.0ms	(cbrt (/ (* a b) 4.0))
101.0ms	(cbrt (/ (* a b) 4.0))

simplify126.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	260	880
1	900	829
2	4512	757
3	5001	757

prune652.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ b (cbrt 4.0)))
1.0b	(* (cbrt 4.0) (cbrt 4.0))
7.1b	(cbrt (/ (* a b) 4.0))
7.1b	(cbrt (/ (* a b) 4.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

61×	`cbrt-prod`
37×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
24×	`times-frac`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-div` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

2.0ms	(cbrt (/ b (cbrt 4.0)))
5.0ms	(* (cbrt 4.0) (cbrt 4.0))
2.0ms	(cbrt (/ (* a b) 4.0))
2.0ms	(cbrt (/ (* a b) 4.0))

series526.0ms

Counts

4 → 10

Calls

4 calls:

328.0ms	(cbrt (/ b (cbrt 4.0)))
0.0ms	(* (cbrt 4.0) (cbrt 4.0))
98.0ms	(cbrt (/ (* a b) 4.0))
100.0ms	(cbrt (/ (* a b) 4.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	298	717
1	777	681
2	2501	636
3	5001	627

prune737.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes431.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample973.0ms

Algorithm

intervals

Results

520.0ms

12016×

body

valid