Details

sample33.0ms

Algorithm

intervals

Results

12.0ms

264×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 14.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.6b	(/ (* y b) t)
5.8b	(/ (* y z) t)
10.4b	(/ (+ 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))
10.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
72.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (/ (* y z) t))
21.0ms	(/ (* y b) t)
16.0ms	(/ (* y z) t)
91.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (12.0ms)

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

prune292.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (/ 1 t)))
4.6b	(/ (* y b) t)
5.9b	(* (* y z) (/ 1 t))
10.4b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite109.0ms

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)))
10.0ms	(/ (* y b) t)
25.0ms	(* (* y z) (/ 1 t))
64.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* (* y z) (/ 1 t)))
20.0ms	(/ (* y b) t)
17.0ms	(* (* y z) (/ 1 t))
92.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (56.0ms)

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

prune303.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 10.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.4b	(* y (/ z t))
4.6b	(/ (* y b) t)
10.4b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
8×	`associate-/r*`
6×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 105

Calls

4 calls:

6.0ms	(+ x (* y (/ z t)))
14.0ms	(* y (/ z t))
10.0ms	(/ (* y b) t)
59.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* y (/ z t)))
17.0ms	(* y (/ z t))
18.0ms	(/ (* y b) t)
91.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	517	820
1	2231	759
2	5002	759

prune319.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
4.4b	(* y (/ z t))
4.6b	(/ (* y b) t)
10.2b	(* (+ x (* y (/ z t))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
45×	`times-frac`
36×	`associate-r`
34×	`add-cube-cbrt`
27×	`add-exp-log`
21×	`add-cbrt-cube` `distribute-lft-out`
9×	`pow1`
8×	`associate-/r*` `associate-/r/`
7×	`div-exp` `prod-exp`
6×	`flip3-+` `associate-l` `flip-+`
5×	`cbrt-undiv` `cbrt-unprod` `unswap-sqr`
4×	`frac-add` `div-inv` `associate-/l*` `add-log-exp`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`
1×	`pow-flip` `un-div-inv` `inv-pow`

Counts

4 → 146

Calls

4 calls:

41.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
15.0ms	(* y (/ z t))
10.0ms	(/ (* y b) t)
102.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series174.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
19.0ms	(* y (/ z t))
18.0ms	(/ (* y b) t)
90.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify73.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	638	1129
1	3120	1005
2	5001	963

prune363.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.3b

regimes353.0ms

Accuracy

57.4% (2.7b remaining)

Error of 12.5b against oracle of 9.8b and baseline of 16.1b

bsearch110.0ms

Steps

Iters	Range		Point
9	1.3450744997910924e-86	9.870210558266256e-81	7.626406460332817e-81
9	-8.016634134951134e-50	-5.960217918780785e-57	-7.913399165461686e-52

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	17
1	45	17

end0.0ms

sample719.0ms

Algorithm

intervals

Results

328.0ms

8295×

body

valid