Details

analyze860.0ms

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

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	85	11
1	85	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: 0.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.0b	(+ x (* y (/ (- z t) (- z a))))
0.9b	(* y (/ (- z t) (- z a)))

rewrite27.0ms

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:

7.0ms	(/ (- z t) (- z a))
3.0ms	(+ x (* y (/ (- z t) (- z a))))
12.0ms	(* y (/ (- z t) (- z a)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- z a))
30.0ms	(+ x (* y (/ (- z t) (- z a))))
16.0ms	(* y (/ (- z t) (- z a)))

simplify69.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4988	1368
1	4988	1368

prune134.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize18.0ms

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))

rewrite23.0ms

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))

series108.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
25.0ms	(cbrt (- z t))
28.0ms	(cbrt (- z t))
26.0ms	(cbrt (- z t))

simplify73.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4883	1025
1	4883	1025

prune117.0ms

Filtered

74 candidates to 113 candidates (-52.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0b

Counts

120 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(* (/ (- z t) (- z a)) (cbrt y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

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

series106.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
21.0ms	(cbrt y)
25.0ms	(cbrt y)
39.0ms	(* (/ (- z t) (- z a)) (cbrt y))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5049	811

prune95.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize12.0ms

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)))
8.1b	(* (/ 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))
10.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
35.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- z a))
25.0ms	(cbrt (- z a))
33.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
22.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify77.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4945	2352
1	4945	2352

prune168.0ms

Filtered

126 candidates to 189 candidates (-50.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	189	7	196

Merged error: 0b

Counts

196 → 7

regimes684.0ms

Accuracy

0% (0.5b 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

analyze852.0ms

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

sample569.0ms

Algorithm

intervals

Results

291.0ms	7998×	body	80	valid
24.0ms	708×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze860.0ms

sample27.0ms

simplify5.0ms

prune4.0ms

localize8.0ms

rewrite27.0ms

series54.0ms

simplify69.0ms

prune134.0ms

localize18.0ms

rewrite23.0ms

series108.0ms

simplify73.0ms

prune117.0ms

localize13.0ms

rewrite19.0ms

series106.0ms

simplify57.0ms

prune95.0ms

localize12.0ms

rewrite59.0ms

series108.0ms

simplify77.0ms

prune168.0ms

regimes684.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze852.0ms

sample569.0ms

Profiling