Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

266×

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: 16.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.1b	(/ (* y z) t)
4.9b	(/ (* y b) t)
12.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite98.0ms

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:

8.0ms	(+ x (/ (* y z) t))
9.0ms	(/ (* y z) t)
9.0ms	(/ (* y b) t)
68.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (/ (* y z) t))
19.0ms	(/ (* y z) t)
16.0ms	(/ (* y b) t)
89.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (13.0ms)

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

prune269.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (/ 1 t)))
4.2b	(* (* y z) (/ 1 t))
4.9b	(/ (* y b) t)
12.6b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite100.0ms

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)))
23.0ms	(* (* y z) (/ 1 t))
9.0ms	(/ (* y b) t)
59.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (* (* y z) (/ 1 t)))
15.0ms	(* (* y z) (/ 1 t))
20.0ms	(/ (* y b) t)
85.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (59.0ms)

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

prune293.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x)))
4.1b	(/ (* y z) t)
4.9b	(/ (* y b) t)
12.6b	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
184×	`times-frac`
89×	`distribute-lft-out`
86×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`associate-/r*`
27×	`add-exp-log`
21×	`add-cbrt-cube`
12×	`div-exp`
11×	`associate-/r/`
10×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
7×	`flip3-+` `flip-+`
5×	`pow1`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`rec-exp` `1-exp` `frac-add` `prod-exp` `cbrt-unprod`
1×	`pow-flip` `inv-pow`

Counts

4 → 217

Calls

4 calls:

64.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x)))
9.0ms	(/ (* y z) t)
9.0ms	(/ (* y b) t)
101.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x))

series385.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x)))
15.0ms	(/ (* y z) t)
16.0ms	(/ (* y b) t)
61.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x))

simplify84.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	660	2745
1	3287	2523
2	5002	2386

prune364.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 11.3b

localize17.0ms

Local error

Found 4 expressions with local error:

12.6b	(/ (+ x (* (* (cbrt (* (* y z) (/ 1 t))) (cbrt (* (* y z) (/ 1 t)))) (cbrt (* (* y z) (/ 1 t))))) (+ (+ a 1.0) (/ (* y b) t)))
16.5b	(cbrt (* (* y z) (/ 1 t)))
16.5b	(cbrt (* (* y z) (/ 1 t)))
16.5b	(cbrt (* (* y z) (/ 1 t)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `associate-/r/` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `associate-r/` `un-div-inv` `flip-+` `associate-/l`
2×	`frac-add` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 74

Calls

4 calls:

56.0ms	(/ (+ x (* (* (cbrt (* (* y z) (/ 1 t))) (cbrt (* (* y z) (/ 1 t)))) (cbrt (* (* y z) (/ 1 t))))) (+ (+ a 1.0) (/ (* y b) t)))
15.0ms	(cbrt (* (* y z) (/ 1 t)))
15.0ms	(cbrt (* (* y z) (/ 1 t)))
17.0ms	(cbrt (* (* y z) (/ 1 t)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (+ x (* (* (cbrt (* (* y z) (/ 1 t))) (cbrt (* (* y z) (/ 1 t)))) (cbrt (* (* y z) (/ 1 t))))) (+ (+ a 1.0) (/ (* y b) t)))
71.0ms	(cbrt (* (* y z) (/ 1 t)))
74.0ms	(cbrt (* (* y z) (/ 1 t)))
72.0ms	(cbrt (* (* y z) (/ 1 t)))

simplify116.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	349	1535
1	1199	1417
2	4712	1383
3	5001	1383

prune281.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 11.3b

regimes464.0ms

Accuracy

16.3% (4.7b remaining)

Error of 15.1b against oracle of 10.4b and baseline of 16.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms

sample719.0ms

Algorithm

intervals

Results

328.0ms

8300×

body

valid