Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

376×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.6b	(* (* a z) b)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

87.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ x (* y z))
22.0ms	(+ (+ x (* y z)) (* t a))
17.0ms	(* (* a z) b)

series165.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
22.0ms	(+ x (* y z))
43.0ms	(+ (+ x (* y z)) (* t a))
22.0ms	(* (* a z) b)

simplify51.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z b) t)
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
2.6b	(* a (+ (* z b) t))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `add-cbrt-cube`
5×	`sum-log`
4×	`frac-add`
3×	`+-commutative` `associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

7.0ms	(+ (* z b) t)
5.0ms	(+ x (* y z))
25.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
28.0ms	(* a (+ (* z b) t))

series149.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (* z b) t)
21.0ms	(+ x (* y z))
74.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
36.0ms	(* a (+ (* z b) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	381	497
1	1810	468
2	5001	468

prune192.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.6b	(* a (+ (* z b) t))
5.0b	(cbrt (* a (+ (* z b) t)))
5.0b	(cbrt (* a (+ (* z b) t)))
5.0b	(cbrt (* a (+ (* z b) t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 55

Calls

4 calls:

24.0ms	(* a (+ (* z b) t))
9.0ms	(cbrt (* a (+ (* z b) t)))
12.0ms	(cbrt (* a (+ (* z b) t)))
9.0ms	(cbrt (* a (+ (* z b) t)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* a (+ (* z b) t))
114.0ms	(cbrt (* a (+ (* z b) t)))
118.0ms	(cbrt (* a (+ (* z b) t)))
113.0ms	(cbrt (* a (+ (* z b) t)))

simplify94.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	247	432
1	913	391
2	3627	376
3	5002	373

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
6.6b	(* (* a z) b)
6.6b	(* (* a z) b)
6.6b	(* (* a z) b)

rewrite613.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
23×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`cbrt-prod`
15×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`cbrt-div`
11×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-l`
6×	`flip3-+` `pow1/3` `swap-sqr` `flip-+`
4×	`frac-times` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 102

Calls

4 calls:

385.0ms	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
17.0ms	(* (* a z) b)
191.0ms	(* (* a z) b)
17.0ms	(* (* a z) b)

series269.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
22.0ms	(* (* a z) b)
25.0ms	(* (* a z) b)
23.0ms	(* (* a z) b)

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	335	1314
1	1509	1213
2	5001	1114

prune297.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes252.0ms

Accuracy

35.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch54.0ms

Steps

Iters	Range		Point
10	-1.4753640966609568e+103	-8.868044934391e+89	-7.187269496377903e+90

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

end0.0ms

sample912.0ms

Algorithm

intervals

Results

395.0ms

11887×

body

valid