Details

sample100.0ms

Algorithm

intervals

Results

19.0ms	285×	body	80	nan
16.0ms	197×	body	80	valid
15.0ms	38×	body	1280	valid
8.0ms	31×	body	640	valid
6.0ms	9×	body	2560	valid
3.0ms	16×	body	320	valid
1.0ms	4×	body	160	valid

simplify20.0ms

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: 16.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
20.8b	(cos (- y (/ (* z t) 3.0)))

rewrite46.0ms

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:

8.0ms	(/ (* z t) 3.0)
16.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
15.0ms	(cos (- y (/ (* z t) 3.0)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* z t) 3.0)
108.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
19.0ms	(/ a (* b 3.0))
39.0ms	(cos (- y (/ (* z t) 3.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (59.0ms)

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

prune511.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 13.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.1b	(cos (/ (* z t) 3.0))
26.4b	(sin (/ (* z t) 3.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 66

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
16.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series173.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ a (* b 3.0))
114.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
14.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	315	522
1	1163	421
2	5001	419

prune531.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 13.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.4b	(sin (/ (* z t) 3.0))
26.5b	(cos (* 0.3333333333333333 (* t z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 66

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
16.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (* 0.3333333333333333 (* t z)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ a (* b 3.0))
105.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	314	522
1	1160	421
2	5001	419

prune609.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 13.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.4b	(sin (/ (* z t) 3.0))
26.5b	(cos (* 0.3333333333333333 (* t z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 66

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
16.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (* 0.3333333333333333 (* t z)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
104.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
21.0ms	(sin (/ (* z t) 3.0))
11.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	314	522
1	1160	421
2	5001	419

prune463.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 13.4b

regimes3.1s

Accuracy

59.6% (1.7b remaining)

Error of 17.7b against oracle of 16.0b and baseline of 20.2b

bsearch3.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	35
1	59	35
2	59	35

end0.0ms

sample3.2s

Algorithm

intervals

Results

861.0ms	9076×	body	80	nan
648.0ms	1637×	body	1280	valid
354.0ms	5544×	body	80	valid
261.0ms	381×	body	2560	valid
253.0ms	938×	body	640	valid
86.0ms	401×	body	320	valid
27.0ms	199×	body	160	valid