Details

sample43.0ms

Algorithm

intervals

Results

15.0ms

438×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

7.0ms	(+ (* x y) (* z t))
28.0ms	(+ (+ (* x y) (* z t)) (* a b))
103.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series285.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* z t))
54.0ms	(+ (+ (* x y) (* z t)) (* a b))
200.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify37.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune136.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite612.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

56.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
55.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
55.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
443.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
97.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
98.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
141.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify114.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	282	1777
1	1027	1653
2	4844	1516
3	5001	1506

prune340.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.6b	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
20×	`cbrt-prod`
14×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`

Counts

4 → 66

Calls

4 calls:

55.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
55.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
125.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
126.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series487.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
101.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
147.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
139.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	256	1884
1	674	1766
2	2691	1728
3	5001	1712

prune409.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
4.8b	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
33.2b	(cbrt (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`associate--l+` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `flip-+`

Counts

4 → 55

Calls

4 calls:

73.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
57.0ms	(cbrt (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
67.0ms	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
66.0ms	(cbrt (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))))

series1.7m

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
107.0ms	(cbrt (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
1.7m	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
323.0ms	(cbrt (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))))

simplify45.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	371	1199
1	1377	1080
2	5002	1057

prune302.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes549.0ms

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	22	7
1	22	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

458.0ms

13788×

body

valid