Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	62	3
3	164	3
4	320	3
5	438	3
6	600	3
7	831	3
8	1451	3
9	2357	3
10	2545	3
11	2545	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

9.0ms

(* (+ x y) (- 1.0 z))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (+ x y) (- 1.0 z))

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	397	499
1	1589	357
2	5001	356

prune87.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
0.0b	(* (- z) (+ x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

3.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
7.0ms	(* (- z) (+ x y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
39.0ms	(* (- z) (+ x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	289	302
1	1292	273
2	5002	261

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
2.0b	(cbrt (* (- z) (+ x y)))
2.0b	(cbrt (* (- z) (+ x y)))
2.0b	(cbrt (* (- z) (+ x y)))

rewrite23.0ms

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×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 80

Calls

4 calls:

6.0ms	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
5.0ms	(cbrt (* (- z) (+ x y)))
5.0ms	(cbrt (* (- z) (+ x y)))
5.0ms	(cbrt (* (- z) (+ x y)))

series694.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
157.0ms	(cbrt (* (- z) (+ x y)))
152.0ms	(cbrt (* (- z) (+ x y)))
152.0ms	(cbrt (* (- z) (+ x y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	289	767
1	986	698
2	4465	635
3	5001	635

prune303.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(* (- (* x x) (* y y)) (- 1.0 z))
3.0b	(- (* x x) (* y y))
24.6b	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt` `prod-diff`
14×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp` `difference-of-squares`
4×	`associate-r/` `associate-l` `associate-l/`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

9.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
4.0ms	(- (* x x) (* y y))
13.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
29.0ms	(- (* x x) (* y y))
57.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

simplify78.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	564	1136
1	2995	926
2	5002	920

prune234.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	20	6
2	25	6
3	25	6

end0.0ms

sample379.0ms

Algorithm

intervals

Results

190.0ms	10077×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid