Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

387×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	26	6
1	81	5
2	248	4
3	613	4
4	1295	4
5	2524	4
6	3349	4
7	4389	4
8	4648	4
9	4648	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify96.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	45	72
1	106	61
2	507	59
3	2708	59
4	5001	59

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b	(- (* d1 d2) (* d1 d3))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `diff-log`
5×	`prod-diff`
4×	`fma-def` `fma-neg` `sum-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate-+l-` `flip3--` `flip--` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `difference-of-squares`

Counts

3 → 64

Calls

3 calls:

8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
3.0ms	(- (* d1 d2) (* d1 d3))
6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series121.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
34.0ms	(- (* d1 d2) (* d1 d3))
35.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify39.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	299	485
1	1251	403
2	5001	388

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (fma d1 d2 (- (* d3 d1))) (fma d1 d4 (fma (- d3) d1 (* d3 d1)))) (* d1 d1))
0.0b	(fma d1 d2 (- (* d3 d1)))
0.0b	(+ (fma d1 d2 (- (* d3 d1))) (fma d1 d4 (fma (- d3) d1 (* d3 d1))))
51.4b	(fma (- d3) d1 (* d3 d1))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-log-exp`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `prod-diff` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `associate-+l+` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

6.0ms	(- (+ (fma d1 d2 (- (* d3 d1))) (fma d1 d4 (fma (- d3) d1 (* d3 d1)))) (* d1 d1))
1.0ms	(fma d1 d2 (- (* d3 d1)))
3.0ms	(+ (fma d1 d2 (- (* d3 d1))) (fma d1 d4 (fma (- d3) d1 (* d3 d1))))
1.0ms	(fma (- d3) d1 (* d3 d1))

series204.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (+ (fma d1 d2 (- (* d3 d1))) (fma d1 d4 (fma (- d3) d1 (* d3 d1)))) (* d1 d1))
38.0ms	(fma d1 d2 (- (* d3 d1)))
63.0ms	(+ (fma d1 d2 (- (* d3 d1))) (fma d1 d4 (fma (- d3) d1 (* d3 d1))))
23.0ms	(fma (- d3) d1 (* d3 d1))

simplify33.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	219	645
1	864	554
2	5001	542

prune238.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (fma d1 d4 (fma (- d3) d1 (* d3 d1))))
0.3b	(pow (* d1 (- d2 d3)) 3)
30.1b	(cbrt (pow (* d1 (- d2 d3)) 3))
51.4b	(fma (- d3) d1 (* d3 d1))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
11×	`fma-def`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`cube-div` `expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`cube-mult` `unpow-prod-down` `pow-unpow` `unpow3` `cube-prod` `sqr-pow`
2×	`cbrt-div` `flip3--` `pow-pow` `pow-exp` `flip--` `fma-udef` `rem-cube-cbrt`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `sum-log` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

7.0ms	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (fma d1 d4 (fma (- d3) d1 (* d3 d1))))
6.0ms	(pow (* d1 (- d2 d3)) 3)
2.0ms	(cbrt (pow (* d1 (- d2 d3)) 3))
1.0ms	(fma (- d3) d1 (* d3 d1))

series216.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (fma d1 d4 (fma (- d3) d1 (* d3 d1))))
54.0ms	(pow (* d1 (- d2 d3)) 3)
51.0ms	(cbrt (pow (* d1 (- d2 d3)) 3))
26.0ms	(fma (- d3) d1 (* d3 d1))

simplify42.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	327	508
1	1481	436
2	5001	432

prune295.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

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	9	4
1	9	4

end0.0ms

sample675.0ms

Algorithm

intervals

Results

389.0ms

11926×

body

valid