Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

328×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (71.0ms)

Iter	Nodes	Cost
0	11	4
1	20	4
2	36	4
3	58	4
4	78	4
5	101	4
6	138	4
7	225	4
8	510	4
9	1682	4
10	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1 y) (/ x z) y)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- 1 y) (/ x z) y)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (- 1 y) (/ x z) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1313	53
4	5001	53

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

0.0ms	(cbrt (fma (- 1 y) (/ x z) y))
0.0ms	(cbrt (fma (- 1 y) (/ x z) y))
0.0ms	(cbrt (fma (- 1 y) (/ x z) y))
6.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (fma (- 1 y) (/ x z) y))
137.0ms	(cbrt (fma (- 1 y) (/ x z) y))
136.0ms	(cbrt (fma (- 1 y) (/ x z) y))
183.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	314	1139
1	1120	1069
2	5001	1008

prune277.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
8.2b	(/ (+ x (* y (- z x))) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

11.0ms	(* y (- z x))
8.0ms	(/ (+ x (* y (- z x))) z)

series92.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- z x))
53.0ms	(/ (+ x (* y (- z x))) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	315	606
1	1345	446
2	5002	435

prune149.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

8.2b	(/ (+ x (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x))))) z)
11.8b	(cbrt (* y (- z x)))
11.8b	(cbrt (* y (- z x)))
11.8b	(cbrt (* y (- z x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `associate-/r` `flip--` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

8.0ms	(/ (+ x (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x))))) z)
3.0ms	(cbrt (* y (- z x)))
3.0ms	(cbrt (* y (- z x)))
3.0ms	(cbrt (* y (- z x)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (+ x (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x))))) z)
184.0ms	(cbrt (* y (- z x)))
187.0ms	(cbrt (* y (- z x)))
183.0ms	(cbrt (* y (- z x)))

simplify74.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	269	937
1	786	850
2	2327	812
3	5002	751

prune254.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes79.0ms

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

sample453.0ms

Algorithm

intervals

Results

248.0ms

10085×

body

valid