Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

265×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.5b	(/ (* y z) t)
6.2b	(/ (* y b) t)
11.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

9.0ms	(+ x (/ (* y z) t))
11.0ms	(/ (* y z) t)
10.0ms	(/ (* y b) t)
71.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (/ (* y z) t))
16.0ms	(/ (* y z) t)
17.0ms	(/ (* y b) t)
88.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	454	843
1	1942	782
2	5001	782

prune290.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (/ 1 t)))
4.5b	(* (* y z) (/ 1 t))
6.2b	(/ (* y b) t)
11.6b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`add-exp-log`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
13×	`associate-r` `prod-exp`
12×	`distribute-lft-out`
9×	`pow1`
8×	`associate-/r*`
7×	`div-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`cbrt-undiv`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`pow-prod-down` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `frac-add` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative`

Counts

4 → 111

Calls

4 calls:

6.0ms	(+ x (* (* y z) (/ 1 t)))
25.0ms	(* (* y z) (/ 1 t))
10.0ms	(/ (* y b) t)
62.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* (* y z) (/ 1 t)))
16.0ms	(* (* y z) (/ 1 t))
17.0ms	(/ (* y b) t)
86.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	593	943
1	2810	836
2	5002	816

prune298.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ t (* y z)))
4.5b	(/ t (* y z))
6.2b	(/ (* y b) t)
11.6b	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
64×	`times-frac`
37×	`add-exp-log`
36×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`distribute-lft-out`
25×	`add-cbrt-cube`
17×	`div-exp`
16×	`associate-/r*`
14×	`div-inv`
12×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

15.0ms	(/ 1 (/ t (* y z)))
8.0ms	(/ t (* y z))
12.0ms	(/ (* y b) t)
95.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (/ t (* y z)))
17.0ms	(/ t (* y z))
20.0ms	(/ (* y b) t)
115.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	584	1229
1	2699	1115
2	5002	1075

prune336.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
4.5b	(* (* y z) (/ 1 t))
6.2b	(/ (* y b) t)
11.5b	(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
44×	`add-exp-log` `times-frac`
40×	`add-sqr-sqrt`
36×	`associate-r`
33×	`add-cube-cbrt`
28×	`add-cbrt-cube`
21×	`distribute-lft-out`
17×	`prod-exp`
12×	`pow1`
10×	`div-exp`
9×	`cbrt-unprod`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`rec-exp` `1-exp` `associate-l` `pow-prod-down` `frac-add` `div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `un-div-inv` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 152

Calls

4 calls:

39.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
25.0ms	(* (* y z) (/ 1 t))
10.0ms	(/ (* y b) t)
97.0ms	(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
15.0ms	(* (* y z) (/ 1 t))
17.0ms	(/ (* y b) t)
86.0ms	(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify85.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	703	1222
1	3645	1055
2	5001	992

prune333.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.4b

regimes334.0ms

Accuracy

10.4% (4.5b remaining)

Error of 15.6b against oracle of 11.0b and baseline of 16.1b

bsearch73.0ms

Steps

Iters	Range		Point
4	6.900101535378441e+176	1.3488069393994047e+177	7.053515903621809e+176
7	-1.352970081727441e-187	-8.689192513681542e-190	-2.465408554466323e-188

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	24
1	50	24

end0.0ms

sample705.0ms

Algorithm

intervals

Results

327.0ms

8290×

body

valid