Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

363×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.4b	(* (* a 27.0) b)
4.7b	(* (* (* y 9.0) z) t)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

32.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
17.0ms	(* (* a 27.0) b)
55.0ms	(* (* (* y 9.0) z) t)

series187.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
20.0ms	(* (* a 27.0) b)
23.0ms	(* (* (* y 9.0) z) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5002	383

prune200.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
4.7b	(* (* (* y 9.0) z) t)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

32.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
18.0ms	(* (* y 9.0) z)
16.0ms	(* 27.0 (* a b))
55.0ms	(* (* (* y 9.0) z) t)

series192.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
16.0ms	(* (* y 9.0) z)
18.0ms	(* 27.0 (* a b))
26.0ms	(* (* (* y 9.0) z) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	358	454
1	1646	382
2	5002	382

prune191.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 x) (* 27.0 (* a b)))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
4.6b	(* t (* z y))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 68

Calls

4 calls:

9.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
40.0ms	(* 9.0 (* t (* z y)))
16.0ms	(* 27.0 (* a b))
19.0ms	(* t (* z y))

series108.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
28.0ms	(* 9.0 (* t (* z y)))
18.0ms	(* 27.0 (* a b))
23.0ms	(* t (* z y))

simplify43.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	316	341
1	1258	279
2	5002	279

prune184.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
0.2b	(* (* y 9.0) z)
0.2b	(* a (* 27.0 b))
4.7b	(* (* (* y 9.0) z) t)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

44.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
20.0ms	(* (* y 9.0) z)
15.0ms	(* a (* 27.0 b))
53.0ms	(* (* (* y 9.0) z) t)

series202.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
28.0ms	(* (* y 9.0) z)
17.0ms	(* a (* 27.0 b))
23.0ms	(* (* (* y 9.0) z) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	363	454
1	1770	382
2	5002	382

prune188.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes483.0ms

Accuracy

72.3% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.8b

bsearch108.0ms

Steps

Iters	Range		Point
7	1.6988809441730515e-75	2.6249833090823834e-73	1.9373422943123473e-73
9	-4.250502568275409e-134	-1.1009015602003105e-142	-1.7386099736855215e-139

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	24
1	52	24

end0.0ms

sample879.0ms

Algorithm

intervals

Results

407.0ms

10996×

body

valid