Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

319×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
3.3b	(* (/ x y) z)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
34×	`times-frac`
31×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
7×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
4×	`pow1` `add-log-exp`
3×	`associate-r` `associate-*l/` `div-inv`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div`

Counts

2 → 82

Calls

2 calls:

59.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms	(* (/ x y) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms	(* (/ x y) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	332	577
1	1167	523
2	5002	507

prune209.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (/ x y) z)
12.6b	(cbrt (* (/ x y) z))
12.6b	(cbrt (* (/ x y) z))
12.6b	(cbrt (* (/ x y) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 70

Calls

4 calls:

16.0ms	(* (/ x y) z)
6.0ms	(cbrt (* (/ x y) z))
6.0ms	(cbrt (* (/ x y) z))
6.0ms	(cbrt (* (/ x y) z))

series255.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (/ x y) z)
78.0ms	(cbrt (* (/ x y) z))
74.0ms	(cbrt (* (/ x y) z))
83.0ms	(cbrt (* (/ x y) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	222	383
1	730	335
2	2840	307
3	5001	303

prune251.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (/ x y) z)
12.6b	(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
12.6b	(cbrt (* (/ x y) z))
12.6b	(cbrt (* (/ x y) z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-*l/`
5×	`cbrt-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 72

Calls

4 calls:

14.0ms	(* (/ x y) z)
58.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
8.0ms	(cbrt (* (/ x y) z))
6.0ms	(cbrt (* (/ x y) z))

series258.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (/ x y) z)
81.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
77.0ms	(cbrt (* (/ x y) z))
80.0ms	(cbrt (* (/ x y) z))

simplify74.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	274	549
1	883	481
2	3423	440
3	5001	343

prune357.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
5.6b	(* x (/ z y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
34×	`times-frac`
31×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
4×	`pow1` `add-log-exp`
3×	`associate-r/` `associate-l*` `div-inv`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div`

Counts

2 → 82

Calls

2 calls:

58.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
13.0ms	(* x (/ z y))

series61.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
18.0ms	(* x (/ z y))

simplify39.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	343	582
1	1343	528
2	5001	513

prune176.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

65.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.6b

bsearch68.0ms

Steps

Iters	Range		Point
8	1.319980074038612e-114	6.097021484198008e-110	4.0156755500201395e-110
8	-6.565352817410042e+91	-2.61330965730952e+87	-3.233031803117617e+88

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

end0.0ms

sample557.0ms

Algorithm

intervals

Results

280.0ms

10029×

body

valid