Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 17.1b

Counts

2 → 1

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)))

rewrite32.0ms

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:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y b) t)
4.0ms	(/ (* y z) t)
13.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ (* y b) t))
18.0ms	(/ (* y b) t)
19.0ms	(/ (* y z) t)
94.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

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

prune302.0ms

Filtered

118 candidates to 78 candidates (66.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	11	119

Merged error: 10.4b

Counts

119 → 11

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))))

rewrite56.0ms

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:

18.0ms	(+ (+ a 1.0) (/ y (/ t b)))
6.0ms	(/ y (/ t b))
4.0ms	(/ (* y z) t)
21.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ y (/ t b)))
20.0ms	(/ y (/ t b))
17.0ms	(/ (* y z) t)
93.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify76.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (18.0ms)

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

prune423.0ms

Filtered

167 candidates to 120 candidates (71.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	160	7	167
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	164	14	178

Merged error: 8.9b

Counts

178 → 14

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))))

rewrite57.0ms

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:

18.0ms	(+ (+ a 1.0) (/ y (/ t b)))
5.0ms	(/ y (/ t b))
6.0ms	(* y (/ z t))
20.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ a 1.0) (/ y (/ t b)))
20.0ms	(/ y (/ t b))
17.0ms	(* y (/ z t))
93.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify81.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (18.0ms)

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

prune435.0ms

Filtered

172 candidates to 125 candidates (72.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	4	9	13
Picked	0	1	1
Done	0	0	0
Total	174	12	186

Merged error: 8.7b

Counts

186 → 12

localize12.0ms

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)))

rewrite30.0ms

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:

5.0ms	(+ (+ a 1.0) (* (/ y t) b))
6.0ms	(* (/ y t) b)
4.0ms	(/ (* y z) t)
11.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ a 1.0) (* (/ y t) b))
20.0ms	(* (/ y t) b)
19.0ms	(/ (* y z) t)
95.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

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

prune240.0ms

Filtered

117 candidates to 82 candidates (70.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	117	12	129

Merged error: 8.7b

Counts

129 → 12

regimes364.0ms

Accuracy

20.6% (5.5b remaining)

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

bsearch73.0ms

Steps

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	16
1	33	16

end0.0ms

sample679.0ms

Algorithm

intervals

Results

397.0ms

8263×

body

valid