Details

sample28.0ms

Algorithm

intervals

Results

10.0ms

284×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	363	11
1	363	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: 1.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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))))
7.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5245	1368

prune138.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0b

Counts

123 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.5b	(cbrt (/ (- z t) (- z a)))
3.5b	(cbrt (/ (- z t) (- z a)))
3.5b	(cbrt (/ (- z t) (- z a)))

rewrite48.0ms

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:

19.0ms	(* 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)))
9.0ms	(cbrt (/ (- z t) (- z a)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
30.0ms	(cbrt (/ (- z t) (- z a)))
33.0ms	(cbrt (/ (- z t) (- z a)))
30.0ms	(cbrt (/ (- z t) (- z a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5139	2243

prune148.0ms

Filtered

108 candidates to 154 candidates (-42.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	154	8	162

Merged error: 0b

Counts

162 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.0b	(* (/ (- z t) (- z a)) (cbrt y))
2.0b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

rewrite42.0ms

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)
14.0ms	(* (/ (- z t) (- z a)) (cbrt y))
21.0ms	(* (* (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)
42.0ms	(* (/ (- z t) (- z a)) (cbrt y))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	1040
1	4967	1040

prune149.0ms

Filtered

72 candidates to 116 candidates (-61.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Merged error: 0b

Counts

124 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
7.3b	(* (* 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))
26.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- z a)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
30.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
16.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- z a)))

simplify73.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4988	1927
1	4988	1927

prune117.0ms

Filtered

90 candidates to 144 candidates (-60.0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	144	8	152

Merged error: 0b

Counts

152 → 8

regimes811.0ms

Accuracy

65.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.5b

bsearch35.0ms

Steps

Iters	Range		Point
9	1.2980649676220062e-112	1.0741122615699045e-104	2.812387345349605e-112
5	-2.099129765611289e-70	-5.515724842305172e-71	-1.2289689876442488e-70

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	31
1	26	31

end0.0ms

sample764.0ms

Algorithm

intervals

Results

312.0ms	8692×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample28.0ms

simplify11.0ms

prune4.0ms

localize8.0ms

rewrite31.0ms

series50.0ms

simplify52.0ms

prune138.0ms

localize12.0ms

rewrite48.0ms

series132.0ms

simplify51.0ms

prune148.0ms

localize14.0ms

rewrite42.0ms

series102.0ms

simplify62.0ms

prune149.0ms

localize15.0ms

rewrite42.0ms

series97.0ms

simplify73.0ms

prune117.0ms

regimes811.0ms

bsearch35.0ms

simplify1.0ms

end0.0ms

sample764.0ms

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