Details

analyze967.0ms

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4982	11
1	4982	11

prune4.0ms

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: 2.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
3.7b	(* y (/ (- z t) (- z a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5083	1163

prune121.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0b

Counts

109 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
3.7b	(* y (* (- z t) (/ 1 (- z a))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

5.0ms	(/ 1 (- z a))
13.0ms	(* (- z t) (/ 1 (- z a)))
12.0ms	(* y (* (- z t) (/ 1 (- z a))))

series31.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1 (- z a))
11.0ms	(* (- z t) (/ 1 (- z a)))
16.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify47.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5847	1082

prune122.0ms

Filtered

74 candidates to 128 candidates (-73.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	128	7	135

Merged error: 0b

Counts

135 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

3.7b	(* y (/ (- z t) (- z a)))
5.4b	(cbrt (* y (/ (- z t) (- z a))))
5.4b	(cbrt (* y (/ (- z t) (- z a))))
5.4b	(cbrt (* y (/ (- z t) (- z a))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

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

series132.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* y (/ (- z t) (- z a)))
39.0ms	(cbrt (* y (/ (- z t) (- z a))))
38.0ms	(cbrt (* y (/ (- z t) (- z a))))
40.0ms	(cbrt (* y (/ (- z t) (- z a))))

simplify76.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4914	878
1	4914	878

prune106.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Merged error: 0b

Counts

99 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
5.2b	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- z a)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
26×	`add-cube-cbrt`
25×	`add-exp-log`
21×	`associate-*r/`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

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

series93.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
16.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4993	2137
1	4993	2137

prune122.0ms

Filtered

96 candidates to 144 candidates (-50.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	144	7	151

Merged error: 0b

Counts

151 → 7

regimes826.0ms

Accuracy

19% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.6b

bsearch48.0ms

Steps

Iters	Range		Point
9	4.467701035721859e-121	6.741801730363332e-112	8.334207124138048e-119
10	-6.362303954135406e-114	-7.971883407335331e-125	-9.227758035671217e-125

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	42
1	48	42

end0.0ms

sample588.0ms

Algorithm

intervals

Results

302.0ms	7997×	body	80	valid
24.0ms	682×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze967.0ms

sample29.0ms

simplify89.0ms

prune4.0ms

localize8.0ms

rewrite25.0ms

series24.0ms

simplify47.0ms

prune121.0ms

localize10.0ms

rewrite35.0ms

series31.0ms

simplify47.0ms

prune122.0ms

localize13.0ms

rewrite39.0ms

series132.0ms

simplify76.0ms

prune106.0ms

localize12.0ms

rewrite42.0ms

series93.0ms

simplify50.0ms

prune122.0ms

regimes826.0ms

bsearch48.0ms

simplify1.0ms

end0.0ms

sample588.0ms

Profiling