Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample55.0ms

Algorithm

intervals

Results

12.0ms

256×

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: 17.3b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.3b	(* y (/ z t))
4.9b	(* y (/ b t))
16.0b	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
26×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*`
2×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 110

Calls

4 calls:

3.0ms	(+ x (* y (/ z t)))
6.0ms	(* y (/ z t))
7.0ms	(* y (/ b t))
9.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ x (* y (/ z t)))
5.0ms	(* y (/ z t))
5.0ms	(* y (/ b t))
40.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5463	1470

prune264.0ms

Filtered

86 candidates to 122 candidates (-41.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	109	13	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	110	14	124

Merged error: 15.9b

Counts

124 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
2.1b	(* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
4.9b	(* y (/ b t))
16.0b	(/ (+ x (* (* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t)))) (+ a (+ 1.0 (* y (/ b t)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt z)
13.0ms	(* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
6.0ms	(* y (/ b t))
10.0ms	(/ (+ x (* (* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t)))) (+ a (+ 1.0 (* y (/ b t)))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
25.0ms	(* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
5.0ms	(* y (/ b t))
42.0ms	(/ (+ x (* (* y (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t)))) (+ a (+ 1.0 (* y (/ b t)))))

simplify32.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5196	1685

prune195.0ms

Filtered

81 candidates to 118 candidates (-45.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	118	14	132

Merged error: 15.9b

Counts

132 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.9b	(* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t))))
4.3b	(* y (/ z t))
16.0b	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t)))) (/ (cbrt b) (cbrt t))))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t))))
6.0ms	(* y (/ z t))
10.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t)))) (/ (cbrt b) (cbrt t))))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
25.0ms	(* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t))))
5.0ms	(* y (/ z t))
41.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t)))) (/ (cbrt b) (cbrt t))))))

simplify35.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5107	1676

prune187.0ms

Filtered

80 candidates to 118 candidates (-47.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	117	15	132

Merged error: 15.9b

Counts

132 → 15

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.9b	(* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t))))
5.5b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
16.0b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ a (+ 1.0 (* (* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t)))) (/ (cbrt b) (cbrt t))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
45×	`add-exp-log`
40×	`times-frac`
38×	`*-un-lft-identity`
30×	`add-cube-cbrt` `add-cbrt-cube`
23×	`associate-r`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-prod`
12×	`cbrt-undiv` `div-exp`
11×	`pow1`
10×	`associate-l`
7×	`unswap-sqr`
5×	`associate-*r/`
4×	`pow-prod-down` `associate-/r*` `distribute-lft-out` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`frac-times` `flip3-+` `associate-l/` `associate-/r/` `-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `pow1/3` `clear-num`

Counts

4 → 133

Calls

4 calls:

1.0ms	(cbrt t)
16.0ms	(* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t))))
14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ a (+ 1.0 (* (* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t)))) (/ (cbrt b) (cbrt t))))))

series127.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
25.0ms	(* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t))))
10.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
69.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ a (+ 1.0 (* (* y (* (/ (cbrt b) (cbrt t)) (/ (cbrt b) (cbrt t)))) (/ (cbrt b) (cbrt t))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5127	2073

prune166.0ms

Filtered

101 candidates to 145 candidates (-43.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	1	11	12
Picked	1	0	1
Done	0	2	2
Total	145	15	160

Merged error: 15.8b

Counts

160 → 15

regimes1.3s

Accuracy

35.4% (1.9b remaining)

Error of 13.1b against oracle of 11.2b and baseline of 14.2b

bsearch81.0ms

Steps

Iters	Range	Point
7	5.953892474325668e+241	1.3584279939844758e+244	1.0014304840356311e+244
8	8.775079855065523e+79	3.8430627635603053e+83	9.475764007628411e+79
7	-3.1806173015765395e-109	-3.2278718377040172e-111	-3.126118079743165e-109

Iters

Range

Point

5.953892474325668e+241

1.3584279939844758e+244

1.0014304840356311e+244

8.775079855065523e+79

3.8430627635603053e+83

9.475764007628411e+79

-3.1806173015765395e-109

-3.2278718377040172e-111

-3.126118079743165e-109

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	120
1	73	120

end0.0ms

sample1.6s

Algorithm

intervals

Results

376.0ms

8000×

body

valid

Details

analyze1.3s

sample55.0ms

simplify4.0ms

prune14.0ms

localize12.0ms

rewrite28.0ms

series59.0ms

simplify39.0ms

prune264.0ms

localize21.0ms

rewrite34.0ms

series93.0ms

simplify32.0ms

prune195.0ms

localize19.0ms

rewrite34.0ms

series92.0ms

simplify35.0ms

prune187.0ms

localize22.0ms

rewrite45.0ms

series127.0ms

simplify73.0ms

prune166.0ms

regimes1.3s

bsearch81.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling