Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

319×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	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)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r` `associate-*l/`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

2 → 46

Calls

2 calls:

50.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms	(* (/ x y) z)

series59.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
18.0ms	(* (/ x y) z)

simplify84.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	243	262
1	882	237
2	3831	236
3	5003	236

prune115.0ms

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))

rewrite36.0ms

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×	`associate-*l/` `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 → 62

Calls

4 calls:

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

series244.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (/ x y) z)
70.0ms	(cbrt (* (/ x y) z))
75.0ms	(cbrt (* (/ x y) z))
77.0ms	(cbrt (* (/ x y) z))

simplify55.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	218	353
1	726	305
2	2826	277
3	5002	273

prune208.0ms

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))

rewrite85.0ms

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×	`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 → 64

Calls

4 calls:

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

series234.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ x y) z)
73.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))
72.0ms	(cbrt (* (/ x y) z))
71.0ms	(cbrt (* (/ x y) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	268	499
1	877	431
2	3407	390
3	5001	313

prune309.0ms

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))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r/` `associate-l*`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

2 → 46

Calls

2 calls:

49.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
13.0ms	(* x (/ z y))

series65.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
20.0ms	(* x (/ z y))

simplify114.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	258	267
1	1081	245
2	4985	245
3	5001	245

prune99.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes143.0ms

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

sample559.0ms

Algorithm

intervals

Results

281.0ms

10029×

body

valid