Details

analyze845.0ms

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
33.2%	66.5%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	85	11
1	85	11

prune12.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
14.0ms	(* y (/ (- z t) (- z a)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
17.0ms	(* y (/ (- z t) (- z a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4988	1368
1	4988	1368

prune130.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0b

Counts

124 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z a)) (cbrt (- z a)))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))

series118.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
28.0ms	(cbrt (- z t))
27.0ms	(cbrt (- z t))
31.0ms	(cbrt (- z t))

simplify76.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4883	1025
1	4883	1025

prune124.0ms

Filtered

74 candidates to 113 candidates (-52.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	113	8	121

Merged error: 0b

Counts

121 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
16×	`pow1`
15×	`add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`pow-prod-down`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r/` `associate-r` `associate-l` `associate-l/` `*-commutative`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
16.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
23.0ms	(cbrt y)
25.0ms	(cbrt y)
20.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5141	429

prune69.0ms

Filtered

42 candidates to 72 candidates (-71.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	72	8	80

Merged error: 0b

Counts

80 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(* (cbrt (- z a)) (cbrt (- z a)))
8.6b	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
65×	`cbrt-prod`
54×	`associate-r`
50×	`times-frac`
35×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
23×	`associate-l`
21×	`distribute-lft-out--`
19×	`difference-of-squares`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
10×	`swap-sqr` `associate-/r/` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 177

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
11.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
34.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (- z a))
28.0ms	(cbrt (- z a))
32.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
28.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify77.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4945	2352
1	4945	2352

prune165.0ms

Filtered

125 candidates to 189 candidates (-51.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	189	8	197

Merged error: 0b

Counts

197 → 8

regimes556.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	33
1	20	33

end0.0ms

analyze840.0ms

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
33.2%	66.5%	0.2%	14

sample575.0ms

Algorithm

intervals

Results

294.0ms	7997×	body	80	valid
27.0ms	671×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze845.0ms

sample22.0ms

simplify5.0ms

prune12.0ms

localize8.0ms

rewrite34.0ms

series55.0ms

simplify67.0ms

prune130.0ms

localize16.0ms

rewrite24.0ms

series118.0ms

simplify76.0ms

prune124.0ms

localize11.0ms

rewrite21.0ms

series91.0ms

simplify34.0ms

prune69.0ms

localize14.0ms

rewrite59.0ms

series117.0ms

simplify77.0ms

prune165.0ms

regimes556.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze840.0ms

sample575.0ms

Profiling