Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

711×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	228	4
4	411	4
5	786	4
6	2469	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.5b	(/ (* (cosh x) (/ y x)) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/`
2×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 64

Calls

2 calls:

14.0ms	(* (cosh x) (/ y x))
13.0ms	(/ (* (cosh x) (/ y x)) z)

series179.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ y x))
103.0ms	(/ (* (cosh x) (/ y x)) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	352	391
1	1472	333
2	5001	333

prune155.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y (* x z)))
6.4b	(/ y (* x z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

23.0ms	(* (cosh x) (/ y (* x z)))
7.0ms	(/ y (* x z))

series122.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* (cosh x) (/ y (* x z)))
18.0ms	(/ y (* x z))

simplify33.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	266	305
1	1075	254
2	5001	252

prune113.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ (* x z) y)))
0.6b	(/ 1 (/ (* x z) y))
6.3b	(/ (* x z) y)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

68×	`times-frac`
61×	`add-exp-log`
43×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
36×	`add-cube-cbrt`
31×	`add-cbrt-cube`
26×	`div-exp` `associate-r`
17×	`prod-exp`
12×	`cbrt-undiv`
10×	`associate-/r*` `div-inv`
7×	`cbrt-unprod`
6×	`pow1` `rec-exp` `1-exp`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 142

Calls

3 calls:

35.0ms	(* (cosh x) (/ 1 (/ (* x z) y)))
16.0ms	(/ 1 (/ (* x z) y))
10.0ms	(/ (* x z) y)

series169.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(* (cosh x) (/ 1 (/ (* x z) y)))
19.0ms	(/ 1 (/ (* x z) y))
22.0ms	(/ (* x z) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	527	872
1	2619	740
2	5001	670

prune244.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b	(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
0.0b	(/ 1/2 (exp x))
7.7b	(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`add-cbrt-cube`
19×	`add-exp-log`
13×	`associate-l`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-r` `fma-udef` `div-inv`
2×	`frac-2neg` `associate-*l/` `clear-num` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 101

Calls

4 calls:

0.0ms	(fma (exp x) 1/2 (/ 1/2 (exp x)))
17.0ms	(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
6.0ms	(/ 1/2 (exp x))
13.0ms	(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

series274.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma (exp x) 1/2 (/ 1/2 (exp x)))
94.0ms	(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
9.0ms	(/ 1/2 (exp x))
132.0ms	(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	438	829
1	2409	711
2	5001	710

prune265.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

95.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.6b

bsearch79.0ms

Steps

Iters	Range		Point
9	31969.393647992125	417908792772.36945	59076.5855875224
5	-4.1001359303405306e-32	-1.7935969994236712e-32	-2.5645364836187805e-32

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

569.0ms

22471×

body

valid