Details

analyze867.0ms

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

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

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: 1.0b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
3.3b	(* y (/ (- z t) (- z a)))

rewrite29.0ms

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)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
17.0ms	(* y (/ (- z t) (- z a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune122.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	5	123

Merged error: 0b

Counts

123 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.6b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))
1.9b	(* (/ (- z t) (- z a)) (cbrt y))

rewrite39.0ms

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)
18.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))
14.0ms	(* (/ (- z t) (- z a)) (cbrt y))

series106.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
24.0ms	(cbrt y)
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))
41.0ms	(* (/ (- z t) (- z a)) (cbrt y))

simplify50.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5469	1040

prune96.0ms

Filtered

72 candidates to 116 candidates (-61.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	116	5	121

Merged error: 0b

Counts

121 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (- z t)) (/ 1 (- z a))))
0.0b	(* y (- z t))
11.4b	(* (* y (- z t)) (/ 1 (- z a)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
26×	`associate-r`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
17×	`add-cbrt-cube`
15×	`times-frac`
14×	`add-cube-cbrt`
13×	`prod-exp`
10×	`pow1`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`flip3--` `div-exp` `associate-l` `pow-prod-down` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-l/` `associate-/r/` `-commutative`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

4.0ms	(+ x (* (* y (- z t)) (/ 1 (- z a))))
6.0ms	(* y (- z t))
14.0ms	(* (* y (- z t)) (/ 1 (- z a)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* (* y (- z t)) (/ 1 (- z a))))
7.0ms	(* y (- z t))
16.0ms	(* (* y (- z t)) (/ 1 (- z a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4984	913
1	4984	913

prune82.0ms

Filtered

59 candidates to 94 candidates (-59.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0b

Counts

99 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (sqrt (/ (- z t) (- z a))))
0.1b	(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
3.3b	(sqrt (/ (- z t) (- z a)))
3.3b	(sqrt (/ (- z t) (- z a)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

144×	`add-sqr-sqrt`
131×	`*-un-lft-identity`
126×	`sqrt-prod`
103×	`times-frac`
68×	`associate-r`
51×	`add-cube-cbrt`
40×	`distribute-lft-out--` `difference-of-squares`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
7×	`sqrt-div`
4×	`rem-sqrt-square` `flip3--` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 190

Calls

4 calls:

16.0ms	(* y (sqrt (/ (- z t) (- z a))))
26.0ms	(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
9.0ms	(sqrt (/ (- z t) (- z a)))
8.0ms	(sqrt (/ (- z t) (- z a)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (sqrt (/ (- z t) (- z a))))
16.0ms	(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
31.0ms	(sqrt (/ (- z t) (- z a)))
27.0ms	(sqrt (/ (- z t) (- z a)))

simplify78.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4980	2708
1	4980	2708

prune184.0ms

Filtered

135 candidates to 202 candidates (-49.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	202	5	207

Merged error: 0b

Counts

207 → 5

regimes537.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample567.0ms

Algorithm

intervals

Results

281.0ms	7999×	body	80	valid
31.0ms	710×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze867.0ms

sample23.0ms

simplify100.0ms

prune4.0ms

localize13.0ms

rewrite29.0ms

series56.0ms

simplify42.0ms

prune122.0ms

localize12.0ms

rewrite39.0ms

series106.0ms

simplify50.0ms

prune96.0ms

localize9.0ms

rewrite27.0ms

series52.0ms

simplify40.0ms

prune82.0ms

localize10.0ms

rewrite68.0ms

series96.0ms

simplify78.0ms

prune184.0ms

regimes537.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample567.0ms

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