Details

sample104.0ms

Algorithm

intervals

Results

27.0ms	61×	body	1280	valid
19.0ms	300×	body	80	nan
10.0ms	175×	body	80	valid
7.0ms	26×	body	640	valid
6.0ms	10×	body	2560	valid
3.0ms	15×	body	320	valid
1.0ms	4×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.6b	(cos (- y (/ (* z t) 3.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
3.0ms	(/ (* z t) 3.0)
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
17.0ms	(/ (* z t) 3.0)
94.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
39.0ms	(cos (- y (/ (* z t) 3.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune333.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 16.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (/ (* z t) 3.0)))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
29.3b	(cos (/ (* z t) 3.0))
29.3b	(sin (/ (* z t) 3.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-*r/`
2×	`*-commutative` `sin-mult`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `cos-mult` `flip-+` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
18.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))

series280.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
203.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
15.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	365	754
1	1772	643
2	5001	640

prune385.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.2b	(* (sin y) (sin (/ (* z t) 3.0)))
29.3b	(sin (/ (* z t) 3.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `times-frac`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`pow-prod-down` `*-commutative` `sin-mult` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
1.0ms	(sin (/ (* z t) 3.0))

series98.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
21.0ms	(/ a (* b 3.0))
43.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
16.0ms	(sin (/ (* z t) 3.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	286	375
1	1127	316
2	4572	316
3	5002	316

prune445.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0)) (/ a (* b 3.0)))
0.1b	(* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0))
0.2b	(/ a (* b 3.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-*r/` `prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `associate--l+` `frac-sub` `flip-+`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `associate-l` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

3 → 59

Calls

3 calls:

15.0ms	(- (* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0)) (/ a (* b 3.0)))
15.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0))
6.0ms	(/ a (* b 3.0))

series203.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(- (* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0)) (/ a (* b 3.0)))
71.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0))
19.0ms	(/ a (* b 3.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	465	524
1	2394	432
2	5001	430

prune206.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 13.8b

regimes2.9s

Accuracy

0% (2.2b remaining)

Error of 17.1b against oracle of 14.9b and baseline of 17.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	26	9
2	26	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

616.0ms	1595×	body	1280	valid
598.0ms	9052×	body	80	nan
345.0ms	5611×	body	80	valid
263.0ms	403×	body	2560	valid
258.0ms	960×	body	640	valid
76.0ms	398×	body	320	valid
28.0ms	182×	body	160	valid