Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

268×

body

valid

simplify4.0ms

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

localize12.0ms

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)))

rewrite34.0ms

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 z) t)
4.0ms	(/ (* y b) t)
15.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
39.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4998	1713
1	4998	1713

prune183.0ms

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))))

rewrite42.0ms

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:

12.0ms	(/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))
8.0ms	(* (/ y (* (cbrt t) (cbrt t))) b)
4.0ms	(/ (* y z) t)
14.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (* (/ y (* (cbrt t) (cbrt t))) b) (cbrt t))
35.0ms	(* (/ 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))))

simplify35.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5243	1940

prune172.0ms

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

localize14.0ms

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)))

rewrite38.0ms

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)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1 (/ t (* y z)))
5.0ms	(/ t (* y z))
5.0ms	(/ (* y b) t)
44.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4989	2073
1	4989	2073

prune166.0ms

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

localize17.0ms

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)))

rewrite60.0ms

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)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 1 (* y z))
5.0ms	(/ (/ 1 t) (/ 1 (* y z)))
5.0ms	(/ (* y b) t)
47.0ms	(/ (+ x (/ (/ 1 t) (/ 1 (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4981	3345
1	4981	3345

prune197.0ms

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

regimes822.0ms

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

sample954.0ms

Algorithm

intervals

Results

431.0ms

8268×

body

valid

Details

sample35.0ms

simplify4.0ms

prune14.0ms

localize12.0ms

rewrite34.0ms

series56.0ms

simplify66.0ms

prune183.0ms

localize16.0ms

rewrite42.0ms

series93.0ms

simplify35.0ms

prune172.0ms

localize14.0ms

rewrite38.0ms

series59.0ms

simplify57.0ms

prune166.0ms

localize17.0ms

rewrite60.0ms

series59.0ms

simplify84.0ms

prune197.0ms

regimes822.0ms

bsearch28.0ms

simplify1.0ms

end0.0ms

sample954.0ms

Profiling