Details

sample38.0ms

Algorithm

intervals

Results

24.0ms

262×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.4b	(/ (* y b) t)
5.8b	(/ (* y z) t)
13.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

14.0ms	(+ (+ a 1.0) (/ (* y b) t))
3.0ms	(/ (* y b) t)
3.0ms	(/ (* y z) t)
35.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ a 1.0) (/ (* y b) t))
18.0ms	(/ (* y b) t)
17.0ms	(/ (* y z) t)
95.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841

prune331.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.4b	(/ y (/ t z))
4.4b	(/ (* y b) t)
13.9b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
98×	`times-frac`
59×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`distribute-lft-out`
21×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`flip3-+` `associate-/r/` `flip-+`
4×	`pow1` `frac-add`
3×	`frac-2neg` `clear-num` `sum-log`
2×	`associate-/l/`
1×	`+-commutative` `associate-+l+` `prod-exp` `cbrt-unprod`

Counts

4 → 155

Calls

4 calls:

16.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ y (/ t z))
3.0ms	(/ (* y b) t)
67.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ (* y b) t))
18.0ms	(/ y (/ t z))
25.0ms	(/ (* y b) t)
227.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	675	1274
1	2879	1201
2	5001	1201

prune485.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ y (/ t b)))
4.4b	(/ y (/ t z))
5.6b	(/ y (/ t b))
13.9b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

170×	`times-frac`
141×	`*-un-lft-identity`
99×	`add-sqr-sqrt` `add-cube-cbrt`
31×	`associate-/r*`
24×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
11×	`div-inv`
10×	`associate-/l*`
9×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`pow1` `frac-add`
3×	`frac-2neg` `clear-num` `sum-log`
2×	`associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 204

Calls

4 calls:

29.0ms	(+ (+ a 1.0) (/ y (/ t b)))
4.0ms	(/ y (/ t z))
4.0ms	(/ y (/ t b))
93.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ a 1.0) (/ y (/ t b)))
18.0ms	(/ y (/ t z))
25.0ms	(/ y (/ t b))
232.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

simplify82.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	836	1643
1	3486	1565
2	5001	1565

prune642.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ (+ a 1.0) (/ y (/ t b))))
4.4b	(/ y (/ t z))
5.6b	(/ y (/ t b))
13.7b	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ y (/ t b)))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
146×	`*-un-lft-identity`
115×	`add-sqr-sqrt`
108×	`add-cube-cbrt`
31×	`associate-/r*`
27×	`add-exp-log`
23×	`associate-r`
22×	`distribute-lft-out`
21×	`add-cbrt-cube`
12×	`div-inv`
10×	`div-exp` `associate-/r/`
9×	`associate-/l*`
8×	`cbrt-undiv`
7×	`pow1`
6×	`flip3-+` `flip-+`
4×	`associate-l` `frac-add` `prod-exp` `add-log-exp`
3×	`frac-2neg` `clear-num` `unswap-sqr`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 234

Calls

4 calls:

44.0ms	(/ 1 (+ (+ a 1.0) (/ y (/ t b))))
6.0ms	(/ y (/ t z))
4.0ms	(/ y (/ t b))
157.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ y (/ t b)))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 1 (+ (+ a 1.0) (/ y (/ t b))))
23.0ms	(/ y (/ t z))
20.0ms	(/ y (/ t b))
226.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ y (/ t b)))))

simplify107.0ms

Algorithm

egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	935	1821
1	4192	1687
2	5001	1645

prune650.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.5b

regimes370.0ms

Accuracy

40.5% (4.2b remaining)

Error of 14.0b against oracle of 9.8b and baseline of 16.8b

bsearch138.0ms

Steps

Iters	Range		Point
8	6.178230932894685e-136	2.4833102743614236e-133	2.4536823168110366e-133
9	-4.562625685681457e-87	-5.055513853662194e-94	-2.072689893672937e-88

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	28
1	47	28

end0.0ms

sample1.3s

Algorithm

intervals

Results

972.0ms

8257×

body

valid