Details

analyze915.0ms

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	97×	body	80	invalid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
5.6b	(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

6.0ms	(* y (- z t))
5.0ms	(+ x (/ (* y (- z t)) a))
7.0ms	(/ (* y (- z t)) a)

series32.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
14.0ms	(+ x (/ (* y (- z t)) a))
11.0ms	(/ (* y (- z t)) a)

simplify37.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5072	574

prune85.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
4.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
19.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt a)
22.0ms	(cbrt a)
22.0ms	(cbrt a)
17.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4938	1097
1	4938	1097

prune129.0ms

Filtered

77 candidates to 116 candidates (-50.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	115	8	123

Merged error: 0b

Counts

123 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
1.4b	(* (* (/ y (pow (cbrt a) 2)) (- z t)) (/ 1 (cbrt a)))
4.1b	(* (/ y (pow (cbrt a) 2)) (- z t))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log`
58×	`add-sqr-sqrt`
56×	`times-frac`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
40×	`prod-exp`
38×	`associate-l`
27×	`associate-r` `add-cbrt-cube`
25×	`cbrt-prod` `div-exp`
20×	`unpow-prod-down`
12×	`cbrt-unprod`
11×	`pow1` `frac-times`
8×	`associate-*l/`
7×	`associate-*r/`
6×	`cbrt-undiv` `flip3--` `flip--` `unswap-sqr`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`pow-prod-down` `unpow2` `add-log-exp` `sqr-pow`
2×	`sub-neg` `pow1/3` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `distribute-lft-in` `un-div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 163

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
18.0ms	(* (* (/ y (pow (cbrt a) 2)) (- z t)) (/ 1 (cbrt a)))
15.0ms	(* (/ y (pow (cbrt a) 2)) (- z t))

series123.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt a)
22.0ms	(cbrt a)
20.0ms	(* (* (/ y (pow (cbrt a) 2)) (- z t)) (/ 1 (cbrt a)))
58.0ms	(* (/ y (pow (cbrt a) 2)) (- z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5142	1825

prune213.0ms

Filtered

122 candidates to 175 candidates (-43.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	175	8	183

Merged error: 0b

Counts

183 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (/ y (pow (cbrt a) 2)) (* (cbrt (/ (- z t) (cbrt a))) (cbrt (/ (- z t) (cbrt a)))))
2.8b	(cbrt (/ (- z t) (cbrt a)))
2.8b	(cbrt (/ (- z t) (cbrt a)))
2.8b	(cbrt (/ (- z t) (cbrt a)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

157×	`cbrt-prod`
128×	`times-frac`
121×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
76×	`add-cube-cbrt`
37×	`associate-l`
28×	`add-exp-log`
20×	`unpow-prod-down`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`prod-exp` `add-cbrt-cube`
11×	`cbrt-div`
9×	`pow1`
6×	`div-exp` `cbrt-unprod` `unswap-sqr`
5×	`frac-times` `associate-*r/`
4×	`div-inv` `unpow2` `add-log-exp` `sqr-pow`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 202

Calls

4 calls:

26.0ms	(* (/ y (pow (cbrt a) 2)) (* (cbrt (/ (- z t) (cbrt a))) (cbrt (/ (- z t) (cbrt a)))))
9.0ms	(cbrt (/ (- z t) (cbrt a)))
6.0ms	(cbrt (/ (- z t) (cbrt a)))
6.0ms	(cbrt (/ (- z t) (cbrt a)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (/ y (pow (cbrt a) 2)) (* (cbrt (/ (- z t) (cbrt a))) (cbrt (/ (- z t) (cbrt a)))))
50.0ms	(cbrt (/ (- z t) (cbrt a)))
48.0ms	(cbrt (/ (- z t) (cbrt a)))
52.0ms	(cbrt (/ (- z t) (cbrt a)))

simplify64.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5035	3809

prune292.0ms

Filtered

173 candidates to 214 candidates (-23.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	214	8	222

Merged error: 0b

Counts

222 → 8

regimes875.0ms

Accuracy

78% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.0b

bsearch38.0ms

Steps

Iters	Range		Point
10	2.0308989107212662e-22	1.6612185069491558e-12	6.799386059226614e-19
6	-3.23530848408867e-30	-4.63796168066896e-31	-2.8792767164713167e-30

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	27
1	34	27

end0.0ms

sample661.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
87.0ms	2635×	body	80	invalid

Details

analyze915.0ms

sample30.0ms

simplify31.0ms

prune12.0ms

localize7.0ms

rewrite19.0ms

series32.0ms

simplify37.0ms

prune85.0ms

localize11.0ms

rewrite28.0ms

series85.0ms

simplify61.0ms

prune129.0ms

localize13.0ms

rewrite45.0ms

series123.0ms

simplify39.0ms

prune213.0ms

localize16.0ms

rewrite57.0ms

series252.0ms

simplify64.0ms

prune292.0ms

regimes875.0ms

bsearch38.0ms

simplify1.0ms

end0.0ms

sample661.0ms

Profiling