Details

sample37.0ms

Algorithm

intervals

Results

23.0ms

267×

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: 17.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
5.6b	(/ (* y b) t)
5.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite64.0ms

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:

16.0ms	(+ (+ a 1.0) (/ (* y b) t))
3.0ms	(/ (* y b) t)
3.0ms	(/ (* y z) t)
38.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ a 1.0) (/ (* y b) t))
19.0ms	(/ (* y b) t)
18.0ms	(/ (* y z) t)
100.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

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

prune324.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ y (/ t b)))
3.8b	(/ y (/ t b))
5.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite112.0ms

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:

32.0ms	(+ (+ a 1.0) (/ y (/ t b)))
5.0ms	(/ y (/ t b))
3.0ms	(/ (* y z) t)
65.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series162.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (+ a 1.0) (/ y (/ t b)))
21.0ms	(/ y (/ t b))
18.0ms	(/ (* y z) t)
95.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify79.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	692	1278
1	3033	1205
2	5002	1205

prune616.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ y (/ t b)))
3.8b	(/ y (/ t b))
4.9b	(* y (/ z t))
10.5b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
89×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
13×	`associate-r`
9×	`add-log-exp`
7×	`div-inv`
6×	`pow1` `associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+`
4×	`frac-add`
3×	`associate-l` `sum-log`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 160

Calls

4 calls:

30.0ms	(+ (+ a 1.0) (/ y (/ t b)))
5.0ms	(/ y (/ t b))
8.0ms	(* y (/ z t))
60.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series173.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ y (/ t b)))
21.0ms	(/ y (/ t b))
23.0ms	(* y (/ z t))
101.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify84.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	747	1258
1	3318	1185
2	5001	1185

prune520.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* (/ y t) b))
4.4b	(* (/ y t) b)
5.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
9×	`add-log-exp`
6×	`pow1` `associate-/r*`
5×	`flip3-+` `associate-l/` `flip-+` `associate-/l`
4×	`cbrt-undiv` `div-exp` `frac-add` `associate-/r/` `distribute-lft-out`
3×	`associate-r` `prod-exp` `sum-log` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `pow-prod-down` `*-commutative`

Counts

4 → 105

Calls

4 calls:

17.0ms	(+ (+ a 1.0) (* (/ y t) b))
8.0ms	(* (/ y t) b)
3.0ms	(/ (* y z) t)
30.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (* (/ y t) b))
21.0ms	(* (/ y t) b)
18.0ms	(/ (* y z) t)
98.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	520	844
1	2261	776
2	5002	776

prune303.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.7b

regimes370.0ms

Accuracy

20.6% (5.5b remaining)

Error of 14.8b against oracle of 9.3b and baseline of 16.2b

bsearch84.0ms

Steps

Iters	Range		Point
11	-1.677594712023865e-138	-1.167033680025666e-160	-1.3244460391049904e-149

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	16
1	33	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

732.0ms

8263×

body

valid