Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

303×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.5b	(/ (* x (- y z)) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
7.0ms	(/ (* x (- y z)) y)

series84.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (- y z))
50.0ms	(/ (* x (- y z)) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune95.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.2b	(/ x (/ y (- y z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ y (- y z))
49.0ms	(/ x (/ y (- y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune281.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
2.4b	(* x (/ (- y z) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

6.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- y z) y)
47.0ms	(* x (/ (- y z) y))

simplify36.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	264	396
1	1187	365
2	5001	364

prune147.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (* x z) y))
5.8b	(/ (* x z) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(- x (/ (* x z) y))
4.0ms	(/ (* x z) y)

series49.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- x (/ (* x z) y))
18.0ms	(/ (* x z) y)

simplify77.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	174
1	692	158
2	3437	158
3	5001	158

prune63.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

29.7% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.2b

bsearch65.0ms

Steps

Iters	Range		Point
10	1.0078767440014467e-82	5.649325972408458e-69	1.1999376738034261e-72
9	-6.217600617491473e-282	-1.4523742883647784e-289	-1.1415157000828453e-287

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	6
1	20	6

end0.0ms

sample403.0ms

Algorithm

intervals

Results

213.0ms

9589×

body

valid