Details

sample42.0ms

Algorithm

intervals

Results

19.0ms

412×

body

valid

simplify132.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.4b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.4b	(* (* (* z 4.0) t) a)
20.5b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite116.0ms

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))
20.0ms	(* (* (* z 4.0) t) a)
82.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series340.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 9.0) y)
83.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
33.0ms	(* (* (* z 4.0) t) a)
203.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify76.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (16.0ms)

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

prune265.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
6.4b	(/ (* a t) c)
6.7b	(/ b (* z c))
10.5b	(/ (* 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:

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

series111.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ (* a t) c)
24.0ms	(/ b (* z 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

prune293.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.4b	(/ a (/ c t))
6.7b	(/ b (* z c))
10.5b	(/ (* x y) (* z c))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

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

series121.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 9.0 (/ (* x y) (* z c)))
21.0ms	(/ a (/ c t))
20.0ms	(/ b (* z c))
34.0ms	(/ (* x y) (* z c))

simplify71.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	634	870
1	3152	746
2	5002	746

prune662.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ x (/ (* z c) y))
5.4b	(/ a (/ c t))
5.5b	(/ (* z c) y)
6.7b	(/ b (* z c))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 160

Calls

4 calls:

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

series96.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ x (/ (* z c) y))
25.0ms	(/ a (/ c t))
19.0ms	(/ (* z c) y)
21.0ms	(/ b (* z c))

simplify68.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	670	935
1	3037	856
2	5001	856

prune564.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

regimes685.0ms

Accuracy

16.8% (8.8b remaining)

Error of 9.0b against oracle of 0.1b and baseline of 10.7b

bsearch235.0ms

Steps

Iters	Range		Point
10	1.1825316719148203e+157	3.789598355265622e+167	7.03897792667915e+164
8	1.9086893253926783e+52	5.389342846713684e+54	5.463989279659813e+52
6	-4.1921224469534826e-42	-3.3993171640115073e-43	-5.109946861708862e-43

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	44
1	50	44

end0.0ms

sample1.1s

Algorithm

intervals

Results

618.0ms

12888×

body

valid