Details

sample72.0ms

Algorithm

intervals

Results

37.0ms

529×

body

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
5.4b	(* (* (* (* x 18.0) y) z) t)
5.9b	(* (* (* x 18.0) y) z)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
73.0ms	(* (* (* (* x 18.0) y) z) t)
21.0ms	(* (* (* x 18.0) y) z)

series107.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
42.0ms	(* (* (* (* x 18.0) y) z) t)
26.0ms	(* (* (* x 18.0) y) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	360	423
1	2133	320
2	5001	320

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.4b	(* (* j 27.0) k)
5.0b	(* (* x 18.0) (* y z))
5.4b	(* (* (* x 18.0) (* y z)) t)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`diff-log`
3×	`associate-l` `*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 83

Calls

4 calls:

1.1s	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* (* j 27.0) k)
9.0ms	(* (* x 18.0) (* y z))
31.0ms	(* (* (* x 18.0) (* y z)) t)

series470.0ms

Counts

4 → 12

Calls

4 calls:

380.0ms	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
18.0ms	(* (* j 27.0) k)
30.0ms	(* (* x 18.0) (* y z))
43.0ms	(* (* (* x 18.0) (* y z)) t)

simplify73.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	475	672
1	2347	541
2	5001	528

prune303.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.4b	(* (* j 27.0) k)
3.6b	(* (* y z) t)
5.7b	(* (* x 18.0) (* (* y z) t))

rewrite705.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`diff-log`
3×	`associate-l` `*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 80

Calls

4 calls:

667.0ms	(- (+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
9.0ms	(* (* j 27.0) k)
6.0ms	(* (* y z) t)
20.0ms	(* (* x 18.0) (* (* y z) t))

series470.0ms

Counts

4 → 12

Calls

4 calls:

387.0ms	(- (+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
16.0ms	(* (* j 27.0) k)
21.0ms	(* (* y z) t)
45.0ms	(* (* x 18.0) (* (* y z) t))

simplify68.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	470	634
1	2311	513
2	5002	501

prune326.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.4b	(* j (* 27.0 k))
5.0b	(* (* x 18.0) (* y z))
5.4b	(* (* (* x 18.0) (* y z)) t)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`diff-log`
3×	`*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 83

Calls

4 calls:

1.1s	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* j (* 27.0 k))
9.0ms	(* (* x 18.0) (* y z))
34.0ms	(* (* (* x 18.0) (* y z)) t)

series482.0ms

Counts

4 → 12

Calls

4 calls:

393.0ms	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
16.0ms	(* j (* 27.0 k))
30.0ms	(* (* x 18.0) (* y z))
43.0ms	(* (* (* x 18.0) (* y z)) t)

simplify73.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	467	671
1	2236	540
2	5002	527

prune272.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

76.3% (1.4b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 6.2b

bsearch5.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	69
1	72	69

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16162×

body

valid