Details

sample92.0ms

Algorithm

intervals

Results

18.0ms	265×	body	80	nan
18.0ms	45×	body	1280	valid
11.0ms	188×	body	80	valid
7.0ms	10×	body	2560	valid
6.0ms	23×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	9×	body	160	valid

simplify11.0ms

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: 19.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
23.6b	(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))
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ (* z t) 3.0)
8.0ms	(cos (- y (/ (* z t) 3.0)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
91.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.0ms	(/ (* z t) 3.0)
34.0ms	(cos (- y (/ (* z t) 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

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

prune363.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))))
0.5b	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
23.6b	(cos (- y (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
14.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))))
9.0ms	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
26.0ms	(cos (- y (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
177.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))))
95.0ms	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
106.0ms	(cos (- y (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))

simplify77.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	615	1366
1	2753	1168
2	5001	1144

prune598.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
0.5b	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
26.6b	(sin (- (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))
26.7b	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
40×	`add-exp-log`
36×	`cbrt-prod`
22×	`add-cbrt-cube`
18×	`cbrt-undiv` `div-exp`
16×	`div-inv`
12×	`associate-/r*`
10×	`associate-/l*`
8×	`prod-exp` `cbrt-unprod`
4×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`neg-sub0` `sin-neg` `sin-diff`

Counts

4 → 140

Calls

4 calls:

9.0ms	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
9.0ms	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
13.0ms	(sin (- (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))
5.0ms	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
94.0ms	(/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
80.0ms	(sin (- (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))
59.0ms	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	367	1671
1	1666	1444
2	5001	1396

prune1.1s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 14.6b

localize35.0ms

Local error

Found 4 expressions with local error:

15.4b	(cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
15.4b	(cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
26.6b	(sin (- (* (* (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))) (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))) (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))))
26.7b	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
72×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`div-inv`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow1/3`
1×	`neg-sub0` `sin-neg` `sin-diff`

Counts

4 → 102

Calls

4 calls:

6.0ms	(cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
6.0ms	(cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
10.0ms	(sin (- (* (* (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))) (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))) (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))))
5.0ms	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
119.0ms	(cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
87.0ms	(sin (- (* (* (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))) (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))) (cbrt (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))))
61.0ms	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	317	1869
1	794	1732
2	2532	1706
3	5001	1593

prune904.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 14.5b

regimes3.0s

Accuracy

44.3% (2.2b remaining)

Error of 18.8b against oracle of 16.6b and baseline of 20.6b

bsearch3.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	81
1	71	81
2	77	81
3	79	81
4	79	81

end0.0ms

sample2.9s

Algorithm

intervals

Results

658.0ms	1631×	body	1280	valid
604.0ms	8975×	body	80	nan
345.0ms	5592×	body	80	valid
274.0ms	397×	body	2560	valid
274.0ms	976×	body	640	valid
83.0ms	389×	body	320	valid
30.0ms	209×	body	160	valid