Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

445×

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

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:

8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series308.0ms

Counts

3 → 9

Calls

3 calls:

204.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
34.0ms	(+ (* x y) (* z t))
69.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify35.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune116.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.3b	(cbrt (+ (* x y) (* z t)))
2.3b	(cbrt (+ (* x y) (* z t)))
2.3b	(cbrt (+ (* x y) (* z t)))

rewrite23.0ms

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:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
100.0ms	(cbrt (+ (* x y) (* z t)))
97.0ms	(cbrt (+ (* x y) (* z t)))
99.0ms	(cbrt (+ (* x y) (* z t)))

simplify88.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903

prune306.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.2b	(pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3)
42.9b	(cbrt (pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

4.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3)
8.0ms	(cbrt (pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3))

series10.0m

Calls

1 calls:

211.0ms

(cbrt (pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3))