Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

401×

body

valid

simplify129.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 21.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.8b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.8b	(* (* (* z 4.0) t) a)
17.3b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite118.0ms

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:

6.0ms	(* (* x 9.0) y)
6.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
22.0ms	(* (* (* z 4.0) t) a)
81.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series323.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 9.0) y)
78.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms	(* (* (* z 4.0) t) a)
196.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify77.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (15.0ms)

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

prune261.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.7b	(/ b (* z c))
6.5b	(/ (* a t) c)
9.7b	(/ (* x y) (* z c))

rewrite23.0ms

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:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ b (* z c))
3.0ms	(/ (* a t) c)
4.0ms	(/ (* x y) (* z c))

series110.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 9.0 (/ (* x y) (* z c)))
24.0ms	(/ b (* z c))
18.0ms	(/ (* a t) c)
28.0ms	(/ (* x y) (* z c))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

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

prune287.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.6b	(* a (/ t c))
5.7b	(/ b (* z c))
9.7b	(/ (* x y) (* z c))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

10.0ms	(* 9.0 (/ (* x y) (* z c)))
7.0ms	(* a (/ t c))
3.0ms	(/ b (* z c))
4.0ms	(/ (* x y) (* z c))

series109.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(* a (/ t c))
23.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

simplify65.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	475	551
1	2583	432
2	5003	432

prune308.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

5.6b	(* a (/ t c))
5.7b	(/ b (* z c))
6.0b	(/ (* z c) y)
7.4b	(/ x (/ (* z c) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

7.0ms	(* a (/ t c))
3.0ms	(/ b (* z c))
3.0ms	(/ (* z c) y)
5.0ms	(/ x (/ (* z c) y))

series91.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* a (/ t c))
23.0ms	(/ b (* z c))
18.0ms	(/ (* z c) y)
31.0ms	(/ x (/ (* z c) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	512	616
1	2443	542
2	5001	542

prune399.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes726.0ms

Accuracy

4.6% (10.7b remaining)

Error of 10.8b against oracle of 0.2b and baseline of 11.3b

bsearch276.0ms

Steps

Iters	Range		Point
4	2.2231678681159593e+61	3.559180349878949e+61	2.2494795163106687e+61
8	8.737499637252862e-73	1.691324601320423e-68	7.955543773986416e-71
8	3.6420491829308507e-287	1.9839293494968225e-284	3.507527873864621e-285
9	-1.4100140440129283e-191	-1.7104596956043736e-198	-6.36732518833848e-192

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	60
1	84	60

end0.0ms

sample1.1s

Algorithm

intervals

Results

606.0ms

12768×

body

valid