Details

sample25.0ms

Algorithm

intervals

Results

14.0ms

329×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (75.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)

simplify56.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

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

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(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:

6.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))

series620.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
143.0ms	(cbrt (fma (- 1 y) (/ x z) y))
143.0ms	(cbrt (fma (- 1 y) (/ x z) y))
145.0ms	(cbrt (fma (- 1 y) (/ x z) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	314	1139
1	1112	1069
2	5001	1008

prune297.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.9b	(pow (cbrt (cbrt (fma (- 1 y) (/ x z) y))) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
3.0ms	(pow (cbrt (cbrt (fma (- 1 y) (/ x z) y))) 4)

series635.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (fma (- 1 y) (/ x z) y))
142.0ms	(cbrt (fma (- 1 y) (/ x z) y))
146.0ms	(cbrt (fma (- 1 y) (/ x z) y))
206.0ms	(pow (cbrt (cbrt (fma (- 1 y) (/ x z) y))) 4)

simplify168.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	382	971
1	1172	919
2	4977	885
3	5001	885

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
9.2b	(/ (+ 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))
9.0ms	(/ (+ x (* y (- z x))) z)

series94.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (- z x))
50.0ms	(/ (+ x (* y (- z x))) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (51.0ms)

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

prune153.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample678.0ms

Algorithm

intervals

Results

466.0ms

10115×

body

valid