Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

408×

body

valid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.5b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.5b	(* (* (* z 4.0) t) a)
16.7b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
12×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* (* x 9.0) y)
4.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms	(* (* (* z 4.0) t) a)
10.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series326.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 9.0) y)
78.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
29.0ms	(* (* (* z 4.0) t) a)
199.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify76.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574

prune257.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.7b	(/ (* a t) c)
4.9b	(/ b (* z c))
9.4b	(/ (* x y) (* z c))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

10.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ (* a t) c)
4.0ms	(/ b (* z c))
6.0ms	(/ (* x y) (* z c))

series106.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ (* a t) c)
19.0ms	(/ b (* z c))
27.0ms	(/ (* x y) (* z c))

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune289.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (* z c) y)
4.7b	(/ (* a t) c)
4.9b	(/ b (* z c))
6.7b	(/ x (/ (* z c) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 111

Calls

4 calls:

4.0ms	(/ (* z c) y)
4.0ms	(/ (* a t) c)
4.0ms	(/ b (* z c))
6.0ms	(/ x (/ (* z c) y))

series92.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z c) y)
23.0ms	(/ (* a t) c)
19.0ms	(/ b (* z c))
31.0ms	(/ x (/ (* z c) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	457	568
1	2237	494
2	5001	494

prune403.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (* a t) c)
4.9b	(/ b (* z c))
5.4b	(* (/ x (* z c)) y)
5.4b	(/ x (* z c))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`cbrt-undiv` `div-exp`
7×	`associate-l` `prod-exp` `cbrt-unprod` `associate-/l*`
6×	`pow1`
5×	`associate-/r*`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
1×	`pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

4.0ms	(/ (* a t) c)
5.0ms	(/ b (* z c))
7.0ms	(* (/ x (* z c)) y)
4.0ms	(/ x (* z c))

series92.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* a t) c)
20.0ms	(/ b (* z c))
33.0ms	(* (/ x (* z c)) y)
20.0ms	(/ x (* z c))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	365	399
1	1720	325
2	5001	325

prune277.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

regimes700.0ms

Accuracy

24.3% (8.5b remaining)

Error of 8.7b against oracle of 0.2b and baseline of 11.5b

bsearch195.0ms

Steps

Iters	Range		Point
3	289519101897518.5	406001203465709.9	3.6960054672565e+14
10	-4.4128482422707096e-222	-1.7734739922996492e-239	-2.6614597321448397e-235
6	-6.144274850360324e+129	-1.32414485581634e+129	-1.618999810916643e+129

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	43
1	75	43

end0.0ms

sample1.1s

Algorithm

intervals

Results

615.0ms

12776×

body

valid