Details

sample102.0ms

Algorithm

intervals

Results

23.0ms	51×	body	1280	valid
18.0ms	273×	body	80	nan
11.0ms	176×	body	80	valid
10.0ms	35×	body	640	valid
9.0ms	14×	body	2560	valid
2.0ms	8×	body	320	valid
1.0ms	7×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	10
1	58	10
2	82	10
3	99	10
4	107	10
5	109	10
6	109	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
27.0b	(cos (- y (/ (* z t) 3.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
17.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
13.0ms	(cos (- y (/ (* z t) 3.0)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* z t) 3.0)
18.0ms	(/ a (* b 3.0))
95.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
34.0ms	(cos (- y (/ (* z t) 3.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	685	1511
1	2361	1261
2	5001	1258

prune468.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 16.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
29.4b	(sin (- (/ (* z t) 3.0)))
30.0b	(cos (/ (* z t) 3.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-diff` `cos-mult` `sin-mult`
1×	`neg-sub0` `flip3--` `frac-2neg` `associate-l` `sin-neg` `clear-num` `associate-/r` `sin-diff` `-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

4 → 73

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
26.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
3.0ms	(sin (- (/ (* z t) 3.0)))
1.0ms	(cos (/ (* z t) 3.0))

series288.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (* b 3.0))
232.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
21.0ms	(sin (- (/ (* z t) 3.0)))
11.0ms	(cos (/ (* z t) 3.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	483	929
1	1977	788
2	5002	771

prune520.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.3b

localize26.0ms

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))))))
29.4b	(sin (- (/ (* z t) 3.0)))
30.0b	(cos (/ (* z t) 3.0))

rewrite41.0ms

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×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `sin-mult`
2×	`sub-neg` `prod-diff` `sin-neg` `cos-mult` `*-commutative`
1×	`neg-sub0` `flip3--` `sin-diff` `distribute-rgt-neg-out` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
26.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
3.0ms	(sin (- (/ (* z t) 3.0)))
1.0ms	(cos (/ (* z t) 3.0))

series310.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
223.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
20.0ms	(sin (- (/ (* z t) 3.0)))
10.0ms	(cos (/ (* z t) 3.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	417	1026
1	1822	887
2	5001	870

prune513.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
0.4b	(* (/ 1 b) (/ a 3.0))
29.4b	(sin (- (/ (* z t) 3.0)))
30.0b	(cos (/ (* z t) 3.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`add-exp-log`
25×	`times-frac`
21×	`*-un-lft-identity` `add-cbrt-cube`
19×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
11×	`pow1` `prod-exp`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`associate-*r/`
4×	`cbrt-undiv` `expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `rec-exp` `1-exp` `prod-diff` `cos-mult` `*-commutative` `div-inv` `sin-mult`
1×	`neg-sub0` `frac-times` `flip3--` `associate-*l/` `sin-neg` `sin-diff` `frac-sub` `flip--` `sub-div`

Counts

4 → 108

Calls

4 calls:

23.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
13.0ms	(* (/ 1 b) (/ a 3.0))
3.0ms	(sin (- (/ (* z t) 3.0)))
1.0ms	(cos (/ (* z t) 3.0))

series276.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
21.0ms	(* (/ 1 b) (/ a 3.0))
20.0ms	(sin (- (/ (* z t) 3.0)))
10.0ms	(cos (/ (* z t) 3.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	710	1142
1	3344	968
2	5001	955

prune584.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 16.3b

regimes2.6s

Accuracy

53.2% (1.8b remaining)

Error of 17.9b against oracle of 16.1b and baseline of 19.9b

bsearch4.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	35
1	61	35
2	61	35

end0.0ms

sample3.1s

Algorithm

intervals

Results

687.0ms	1629×	body	1280	valid
681.0ms	9057×	body	80	nan
362.0ms	5591×	body	80	valid
278.0ms	934×	body	640	valid
253.0ms	344×	body	2560	valid
97.0ms	431×	body	320	valid
40.0ms	236×	body	160	valid