Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

333×

body

valid

simplify111.0ms

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

rewrite25.0ms

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:

6.0ms	(+ x (* y (+ z x)))
19.0ms	(* y (+ z x))

series49.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (* y (+ z x)))
25.0ms	(* y (+ z x))

simplify92.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune66.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

23.0ms	(+ (+ x (* z y)) (* y x))
5.0ms	(+ x (* z y))

series48.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify66.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	160	155
1	624	139
2	2460	136
3	5001	136

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
4.3b	(cbrt (* y (+ z x)))
4.3b	(cbrt (* y (+ z x)))
4.3b	(cbrt (* y (+ z x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

20.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
7.0ms	(cbrt (* y (+ z x)))
6.0ms	(cbrt (* y (+ z x)))
7.0ms	(cbrt (* y (+ z x)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
95.0ms	(cbrt (* y (+ z x)))
97.0ms	(cbrt (* y (+ z x)))
102.0ms	(cbrt (* y (+ z x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	254	585
1	799	531
2	2788	474
3	5001	464

prune204.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
2.4b	(- (* z z) (* x x))
11.7b	(* y (- (* z z) (* x x)))
19.0b	(/ (* y (- (* z z) (* x x))) (- z x))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`times-frac` `associate-/r*`
4×	`flip3--` `associate-r/` `associate-r*` `flip--` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

19.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
8.0ms	(- (* z z) (* x x))
26.0ms	(* y (- (* z z) (* x x)))
29.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
28.0ms	(- (* z z) (* x x))
59.0ms	(* y (- (* z z) (* x x)))
73.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	372	639
1	1847	557
2	5002	519

prune159.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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	11	4
1	11	4

end0.0ms

sample477.0ms

Algorithm

intervals

Results

186.0ms

10138×

body

valid