Details

sample121.0ms

Algorithm

intervals

Results

49.0ms

520×

body

valid

simplify161.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
2.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.6b	(* (* (* x 18.0) y) z)

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
205.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
55.0ms	(* (* (* x 18.0) y) z)

series155.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
15.0ms	(* (* j 27.0) k)
100.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
23.0ms	(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune314.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.5b	(* (* x 18.0) y)
2.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.6b	(* (* (* x 18.0) y) z)

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (* x 4.0) i)
17.0ms	(* (* x 18.0) y)
204.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
52.0ms	(* (* (* x 18.0) y) z)

series159.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* x 4.0) i)
17.0ms	(* (* x 18.0) y)
99.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	399	472
1	2129	393
2	5002	393

prune317.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.4b	(* x (* 18.0 y))
2.6b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.6b	(* (* x (* 18.0 y)) z)

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

16.0ms	(* (* x 4.0) i)
16.0ms	(* x (* 18.0 y))
168.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
46.0ms	(* (* x (* 18.0 y)) z)

series156.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* x 4.0) i)
21.0ms	(* x (* 18.0 y))
96.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
23.0ms	(* (* x (* 18.0 y)) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	397	472
1	1933	393
2	5001	393

prune332.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.6b	(* t (- (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* 18.0 y))) z) (* a 4.0)))
4.6b	(* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* 18.0 y))) z)

rewrite970.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log`
25×	`add-cbrt-cube`
23×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r`
4×	`associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
751.0ms	(* t (- (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* 18.0 y))) z) (* a 4.0)))
215.0ms	(* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* 18.0 y))) z)

series507.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt x)
172.0ms	(cbrt x)
123.0ms	(* t (- (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* 18.0 y))) z) (* a 4.0)))
45.0ms	(* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* 18.0 y))) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	434	811
1	2162	634
2	5001	563

prune355.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

regimes973.0ms

Accuracy

43.7% (2.0b remaining)

Error of 4.0b against oracle of 2.1b and baseline of 5.6b

bsearch210.0ms

Steps

Iters	Range		Point
4	2.20122500660577e-58	4.262788515518882e-58	2.6296422084987418e-58
9	-4.812062206109392e+141	-5.238090797393088e+134	-3.942577953255298e+135

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	46
1	81	46

end0.0ms

sample2.2s

Algorithm

intervals

Results

998.0ms

16311×

body

valid