Details

analyze853.0ms

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

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

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: 1.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.6b	(* y (/ (- z t) (- z a)))

rewrite29.0ms

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))
18.0ms	(* y (/ (- z t) (- z a)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5083	1163

prune116.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Merged error: 0b

Counts

109 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
4.2b	(cbrt (/ (- z t) (- z a)))
4.2b	(cbrt (/ (- z t) (- z a)))
4.2b	(cbrt (/ (- z t) (- z a)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

21.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
30.0ms	(cbrt (/ (- z t) (- z a)))
31.0ms	(cbrt (/ (- z t) (- z a)))
35.0ms	(cbrt (/ (- z t) (- z a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5023	2243

prune149.0ms

Filtered

108 candidates to 154 candidates (-42.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	154	6	160

Merged error: 0b

Counts

160 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.4b	(* (/ (- z t) (- z a)) (cbrt y))
1.5b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-l`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-l/` `associate-/r/` `-commutative`
1×	`flip3--` `associate-*r/` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(* (/ (- z t) (- z a)) (cbrt y))
15.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
41.0ms	(* (/ (- z t) (- z a)) (cbrt y))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5469	1040

prune94.0ms

Filtered

73 candidates to 116 candidates (-58.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.4b	(/ (* y (- z t)) (- z a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

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

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* y (- z t))
15.0ms	(/ (* y (- z t)) (- z a))

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5985	485

prune50.0ms

Filtered

39 candidates to 59 candidates (-51.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	59	6	65

Merged error: 0b

Counts

65 → 6

regimes629.0ms

Accuracy

53.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.3b

bsearch31.0ms

Steps

Iters	Range		Point
6	3.15911392835039e-179	3.0169225782467324e-178	9.244173049080096e-179
8	-533107633395203.8	-455485449933.42456	-745928871119.6415

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	31
1	44	31

end0.0ms

sample768.0ms

Algorithm

intervals

Results

482.0ms	8000×	body	80	valid
24.0ms	700×	body	80	invalid

Details

analyze853.0ms

sample22.0ms

simplify87.0ms

prune4.0ms

localize8.0ms

rewrite29.0ms

series24.0ms

simplify49.0ms

prune116.0ms

localize13.0ms

rewrite49.0ms

series138.0ms

simplify58.0ms

prune149.0ms

localize12.0ms

rewrite35.0ms

series102.0ms

simplify52.0ms

prune94.0ms

localize7.0ms

rewrite18.0ms

series22.0ms

simplify36.0ms

prune50.0ms

regimes629.0ms

bsearch31.0ms

simplify1.0ms

end0.0ms

sample768.0ms

Profiling