Details

analyze948.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

sample30.0ms

Algorithm

intervals

Results

8.0ms	211×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	18×	body	80	invalid
0.0ms	4×	body	160	valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5035	13

prune18.0ms

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: 6.3b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- t a))
1.4b	(+ y (* y (/ (- z t) (- t a))))
1.5b	(* y (/ (- z t) (- t a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

8.0ms	(/ (- z t) (- t a))
3.0ms	(+ y (* y (/ (- z t) (- t a))))
13.0ms	(* y (/ (- z t) (- t a)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- t a))
25.0ms	(+ y (* y (/ (- z t) (- t a))))
16.0ms	(* y (/ (- z t) (- t a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5529	1354

prune180.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	114	10	124

Merged error: 2.9b

Counts

124 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t a))
0.5b	(cbrt (- t a))
0.5b	(cbrt (- t a))
6.2b	(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (- t a))
3.0ms	(cbrt (- t a))
3.0ms	(cbrt (- t a))
4.0ms	(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- t a))
27.0ms	(cbrt (- t a))
26.0ms	(cbrt (- t a))
23.0ms	(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4918	634
1	4918	634

prune131.0ms

Filtered

56 candidates to 68 candidates (-21.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	69	9	78

Merged error: 2.9b

Counts

78 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t a))
0.5b	(cbrt (cbrt (- t a)))
0.6b	(cbrt (* (cbrt (- t a)) (cbrt (- t a))))
9.6b	(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (* (cbrt (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (cbrt (- t a)))))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
19×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`flip3--` `flip--`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `frac-times` `add-cbrt-cube`
3×	`pow1/3`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (- t a))
4.0ms	(cbrt (cbrt (- t a)))
9.0ms	(cbrt (* (cbrt (- t a)) (cbrt (- t a))))
4.0ms	(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (* (cbrt (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (cbrt (- t a)))))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- t a))
26.0ms	(cbrt (cbrt (- t a)))
33.0ms	(cbrt (* (cbrt (- t a)) (cbrt (- t a))))
23.0ms	(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (* (cbrt (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (cbrt (- t a)))))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4903	1224
1	4903	1224

prune157.0ms

Filtered

60 candidates to 73 candidates (-21.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	72	10	82

Merged error: 2.9b

Counts

82 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.6b	(* (cbrt (- z t)) (cbrt (- z t)))
1.5b	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
12.1b	(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-div`
33×	`cbrt-prod`
32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
24×	`add-exp-log` `associate-*r/`
20×	`pow1` `frac-times`
19×	`flip3--` `flip--`
16×	`add-cbrt-cube`
14×	`add-cube-cbrt` `associate-*l/`
12×	`prod-exp` `cbrt-unprod`
11×	`associate-l`
10×	`swap-sqr`
9×	`associate-r`
8×	`pow-prod-down`
7×	`pow1/3` `distribute-lft-out--`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 124

Calls

4 calls:

3.0ms	(cbrt (- z t))
10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
24.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
4.0ms	(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
32.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
16.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
22.0ms	(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4925	1659
1	4925	1659

prune140.0ms

Filtered

86 candidates to 136 candidates (-58.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	135	11	146

Merged error: 2.9b

Counts

146 → 11

regimes551.0ms

Accuracy

15.9% (3.5b remaining)

Error of 6.7b against oracle of 3.2b and baseline of 7.4b

bsearch40.0ms

Steps

Iters	Range		Point
5	2.380299140581711e-163	6.929146609729926e-163	2.847639448469341e-163
8	-6.534669064442043e-172	-1.5671490565987812e-176	-4.57136769412054e-173

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	105	29
1	105	29

end0.0ms

sample1.0s

Algorithm

intervals

Results

276.0ms	6629×	body	80	valid
242.0ms	739×	body	80	invalid
62.0ms	443×	body	640	valid
50.0ms	402×	body	320	valid
45.0ms	235×	body	1280	valid
21.0ms	277×	body	160	valid
3.0ms	14×	body	2560	valid

Details

analyze948.0ms

sample30.0ms

simplify61.0ms

prune18.0ms

localize9.0ms

rewrite30.0ms

series50.0ms

simplify49.0ms

prune180.0ms

localize20.0ms

rewrite15.0ms

series103.0ms

simplify51.0ms

prune131.0ms

localize26.0ms

rewrite23.0ms

series108.0ms

simplify48.0ms

prune157.0ms

localize13.0ms

rewrite46.0ms

series96.0ms

simplify66.0ms

prune140.0ms

regimes551.0ms

bsearch40.0ms

simplify2.0ms

end0.0ms

sample1.0s

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