Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

268×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

prune14.0ms

Filtered

1 candidates to 1 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: 13.3b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.7b	(/ (* y z) t)
5.7b	(/ (* y b) t)
12.9b	(/ (+ 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:

6.0ms	(+ (+ a 1.0) (/ (* y b) t))
6.0ms	(/ (* y z) t)
4.0ms	(/ (* y b) t)
12.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
38.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4998	1713
1	4998	1713

prune182.0ms

Filtered

79 candidates to 118 candidates (-49.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	108	12	120

Merged error: 11.8b

Counts

120 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))
3.1b	(* (/ y (* (cbrt t) (cbrt t))) b)
4.7b	(/ (* y z) t)
12.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
34×	`add-exp-log`
33×	`times-frac`
28×	`add-sqr-sqrt`
26×	`add-cbrt-cube`
24×	`add-cube-cbrt`
21×	`distribute-lft-out`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `cbrt-prod` `associate-/l*`
4×	`associate-/r/` `div-inv` `add-log-exp`
3×	`frac-2neg` `flip3-+` `associate-r` `clear-num` `flip-+` `associate-/l/`
2×	`associate-*l/` `frac-add` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 128

Calls

4 calls:

9.0ms	(/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))
8.0ms	(* (/ y (* (cbrt t) (cbrt t))) b)
4.0ms	(/ (* y z) t)
13.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))
33.0ms	(* (/ y (* (cbrt t) (cbrt t))) b)
5.0ms	(/ (* y z) t)
43.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))))

simplify34.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5243	1940

prune176.0ms

Filtered

91 candidates to 140 candidates (-53.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	9	10
Picked	0	1	1
Done	1	0	1
Total	140	12	152

Merged error: 11.8b

Counts

152 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ t (* y z)))
4.9b	(/ t (* y z))
5.7b	(/ (* y b) t)
12.9b	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
64×	`times-frac`
37×	`add-exp-log`
36×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`distribute-lft-out`
25×	`add-cbrt-cube`
17×	`div-exp`
16×	`associate-/r*`
14×	`div-inv`
12×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

6.0ms	(/ 1 (/ t (* y z)))
4.0ms	(/ t (* y z))
4.0ms	(/ (* y b) t)
17.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1 (/ t (* y z)))
5.0ms	(/ t (* y z))
5.0ms	(/ (* y b) t)
46.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4989	2073
1	4989	2073

prune175.0ms

Filtered

90 candidates to 163 candidates (-81.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	163	12	175

Merged error: 11.8b

Counts

175 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* y z))
4.9b	(/ (/ 1 t) (/ 1 (* y z)))
5.7b	(/ (* y b) t)
12.9b	(/ (+ x (/ (/ 1 t) (/ 1 (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
140×	`*-un-lft-identity`
105×	`add-exp-log`
103×	`add-sqr-sqrt` `add-cube-cbrt`
65×	`div-exp`
37×	`add-cbrt-cube`
26×	`div-inv`
21×	`distribute-lft-out` `associate-/l*`
18×	`cbrt-undiv`
17×	`rec-exp` `1-exp`
16×	`prod-exp` `associate-/r*`
7×	`pow1`
5×	`associate-/r/`
4×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l/`
2×	`pow-flip` `frac-add`
1×	`pow-prod-down` `inv-pow`

Counts

4 → 253

Calls

4 calls:

4.0ms	(/ 1 (* y z))
10.0ms	(/ (/ 1 t) (/ 1 (* y z)))
4.0ms	(/ (* y b) t)
31.0ms	(/ (+ x (/ (/ 1 t) (/ 1 (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (* y z))
6.0ms	(/ (/ 1 t) (/ 1 (* y z)))
5.0ms	(/ (* y b) t)
48.0ms	(/ (+ x (/ (/ 1 t) (/ 1 (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify86.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4981	3345
1	4981	3345

prune199.0ms

Filtered

126 candidates to 265 candidates (-110.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	265	12	277

Merged error: 11.8b

Counts

277 → 12

regimes835.0ms

Accuracy

51.1% (2.8b remaining)

Error of 13.2b against oracle of 10.4b and baseline of 16.1b

bsearch28.0ms

Steps

Iters	Range		Point
7	2.3234017867874092e-57	1.0055942291487182e-55	9.538841263760188e-56
2	-7.505012381108564e+96	-6.474257057422489e+96	-6.603101472883248e+96

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	47
1	47	47

end0.0ms

sample981.0ms

Algorithm

intervals

Results

441.0ms

8268×

body

valid

Details

sample40.0ms

simplify3.0ms

prune14.0ms

localize13.0ms

rewrite32.0ms

series56.0ms

simplify61.0ms

prune182.0ms

localize16.0ms

rewrite39.0ms

series92.0ms

simplify34.0ms

prune176.0ms

localize15.0ms

rewrite37.0ms

series61.0ms

simplify58.0ms

prune175.0ms

localize15.0ms

rewrite61.0ms

series61.0ms

simplify86.0ms

prune199.0ms

regimes835.0ms

bsearch28.0ms

simplify1.0ms

end0.0ms

sample981.0ms

Profiling