Details

sample74.0ms

Algorithm

intervals

Results

14.0ms

266×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune7.0ms

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: 15.4b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
3.1b	(/ (* y b) t)
4.1b	(/ (* y z) t)
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite31.0ms

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)
5.0ms	(/ (* y z) t)
12.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y b) t)
7.0ms	(/ (* y z) t)
37.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (11.0ms)

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

prune200.0ms

Filtered

78 candidates to 118 candidates (-51.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	105	13	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	13	119

Merged error: 10.6b

Counts

119 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
3.1b	(* (* y b) (/ 1 t))
4.1b	(/ (* y z) t)
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
30×	`*-un-lft-identity`
24×	`times-frac`
23×	`add-cbrt-cube`
22×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-r` `prod-exp`
9×	`pow1` `add-log-exp`
8×	`frac-add`
7×	`flip3-+` `div-exp` `cbrt-unprod` `flip-+`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `associate-r/` `un-div-inv` `associate-/l`
4×	`distribute-lft-out`
3×	`pow-prod-down` `sum-log` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-l` `*-commutative`

Counts

4 → 115

Calls

4 calls:

6.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
7.0ms	(* (* y b) (/ 1 t))
4.0ms	(/ (* y z) t)
11.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
5.0ms	(* (* y b) (/ 1 t))
8.0ms	(/ (* y z) t)
37.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	624	1021
1	3056	904
2	5002	887

prune160.0ms

Filtered

79 candidates to 127 candidates (-60.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	127	13	140

Merged error: 10.6b

Counts

140 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
3.1b	(/ (* y b) t)
4.1b	(/ (* y z) t)
11.9b	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
184×	`times-frac`
89×	`distribute-lft-out`
86×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`associate-/r*`
27×	`add-exp-log`
21×	`add-cbrt-cube`
12×	`div-exp`
11×	`associate-/r/`
10×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
7×	`flip3-+` `flip-+`
5×	`pow1`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`rec-exp` `1-exp` `frac-add` `prod-exp` `cbrt-unprod`
1×	`pow-flip` `inv-pow`

Counts

4 → 217

Calls

4 calls:

15.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
4.0ms	(/ (* y b) t)
4.0ms	(/ (* y z) t)
12.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
4.0ms	(/ (* y b) t)
4.0ms	(/ (* y z) t)
27.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	662	2744
1	3298	2518
2	5001	2379

prune187.0ms

Filtered

99 candidates to 229 candidates (-131.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	228	14	242

Merged error: 10.6b

Counts

242 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
3.1b	(/ (* y b) t)
5.5b	(/ y (/ t z))
11.9b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite43.0ms

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:

6.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y b) t)
5.0ms	(/ y (/ t z))
19.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y b) t)
5.0ms	(/ y (/ t z))
57.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	675	1274
1	2875	1201
2	5001	1200

prune144.0ms

Filtered

117 candidates to 167 candidates (-42.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	1	10	11
Picked	1	0	1
Done	0	2	2
Total	167	14	181

Merged error: 10.1b

Counts

181 → 14

regimes864.0ms

Accuracy

57.8% (2.7b remaining)

Error of 13.3b against oracle of 10.6b and baseline of 17.0b

bsearch40.0ms

Steps

Iters	Range		Point
6	1.1303777385746328e-38	8.537351473882025e-38	3.3789770624750507e-38
7	-7.267226470520035e+83	-1.0667754992512209e+82	-1.2292627245492456e+82

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	17
1	44	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

647.0ms

8277×

body

valid

Details

sample74.0ms

simplify7.0ms

prune7.0ms

localize12.0ms

rewrite31.0ms

series57.0ms

simplify52.0ms

prune200.0ms

localize16.0ms

rewrite32.0ms

series58.0ms

simplify70.0ms

prune160.0ms

localize13.0ms

rewrite48.0ms

series121.0ms

simplify81.0ms

prune187.0ms

localize12.0ms

rewrite43.0ms

series74.0ms

simplify69.0ms

prune144.0ms

regimes864.0ms

bsearch40.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling