Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (+ z x))
0.0b	(+ x (* y (+ z x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

9.0ms	(* y (+ z x))
2.0ms	(+ x (* y (+ z x)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* y (+ z x))
26.0ms	(+ x (* y (+ z x)))

simplify94.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3884	149
3	5001	149

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ z x))
0.0b	(+ x (cbrt (pow (* y (+ z x)) 3)))
0.3b	(pow (* y (+ z x)) 3)
32.0b	(cbrt (pow (* y (+ z x)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

9.0ms	(* y (+ z x))
5.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
4.0ms	(pow (* y (+ z x)) 3)
2.0ms	(cbrt (pow (* y (+ z x)) 3))

series121.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* y (+ z x))
28.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
43.0ms	(pow (* y (+ z x)) 3)
26.0ms	(cbrt (pow (* y (+ z x)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	318	403
1	1623	366
2	5001	365

prune178.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (sqrt (* y (+ z x))) (sqrt (* y (+ z x)))))
0.2b	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
3.2b	(sqrt (* y (+ z x)))
3.2b	(sqrt (* y (+ z x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*r/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

2.0ms	(+ x (* (sqrt (* y (+ z x))) (sqrt (* y (+ z x)))))
28.0ms	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
3.0ms	(sqrt (* y (+ z x)))
3.0ms	(sqrt (* y (+ z x)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* (sqrt (* y (+ z x))) (sqrt (* y (+ z x)))))
24.0ms	(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
51.0ms	(sqrt (* y (+ z x)))
49.0ms	(sqrt (* y (+ z x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	263	609
1	1163	518
2	5001	485

prune179.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* y (+ z x)))) 3) (sqrt (sqrt (* y (+ z x)))))
0.3b	(pow (sqrt (sqrt (* y (+ z x)))) 3)
3.2b	(sqrt (* y (+ z x)))
3.2b	(sqrt (* y (+ z x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
32×	`sqrt-div`
20×	`associate-r/` `associate-l*`
18×	`unpow-prod-down` `cube-prod`
16×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
12×	`unswap-sqr`
10×	`add-exp-log` `sqrt-pow1`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`associate-r` `add-cbrt-cube`
6×	`pow-pow`
4×	`frac-times` `pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-*l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 126

Calls

4 calls:

30.0ms	(* (pow (sqrt (sqrt (* y (+ z x)))) 3) (sqrt (sqrt (* y (+ z x)))))
6.0ms	(pow (sqrt (sqrt (* y (+ z x)))) 3)
3.0ms	(sqrt (* y (+ z x)))
3.0ms	(sqrt (* y (+ z x)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (pow (sqrt (sqrt (* y (+ z x)))) 3) (sqrt (sqrt (* y (+ z x)))))
131.0ms	(pow (sqrt (sqrt (* y (+ z x)))) 3)
51.0ms	(sqrt (* y (+ z x)))
49.0ms	(sqrt (* y (+ z x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	445	1117
1	1828	934
2	5002	829

prune294.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes88.0ms

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	3
1	9	3

end0.0ms

sample386.0ms

Algorithm

intervals

Results

186.0ms

10093×

body

valid