Details

analyze872.0ms

Algorithm: search

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

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: 1.8b

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))
2.4b	(* 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:

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

series52.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune132.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.4b	(* y (* (- z t) (/ 1 (- z a))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
5.0ms	(/ 1 (- z a))
12.0ms	(* (- z t) (/ 1 (- z a)))
14.0ms	(* y (* (- z t) (/ 1 (- z a))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
4.0ms	(/ 1 (- z a))
8.0ms	(* (- z t) (/ 1 (- z a)))
15.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify54.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	457	786
1	2015	677
2	5001	632

prune128.0ms

Filtered

85 candidates to 142 candidates (-67.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Merged error: 0b

Counts

149 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.1b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))

rewrite19.0ms

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` `associate-*r/` `div-exp`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify89.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	229	492
1	849	357
2	4753	299
3	5002	275

prune73.0ms

Filtered

44 candidates to 72 candidates (-63.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	73	6	79

Merged error: 0b

Counts

79 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
0.0b	(/ (- z a) (- z t))
2.5b	(/ y (/ (- z a) (- z t)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

37.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
7.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
8.0ms	(/ (- z a) (- z t))
20.0ms	(/ y (/ (- z a) (- z t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	707	1896
1	3150	1838
2	5003	1836

prune188.0ms

Filtered

146 candidates to 215 candidates (-47.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	215	6	221

Merged error: 0b

Counts

221 → 6

regimes660.0ms

Accuracy

39.4% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.1b

bsearch1.9s

Steps

Iters	Range		Point
10	5.6078536329374126e-180	1.1621978618312113e-161	5.722356274774087e-167
6	-2.7899006353564868e+48	-3.107205997871522e+47	-3.152993505186483e+47

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	29	11

end0.0ms

analyze869.0ms

Algorithm: search

sample571.0ms

Algorithm

intervals

Results

296.0ms	7999×	body	80	valid
24.0ms	711×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze872.0ms

sample22.0ms

simplify57.0ms

prune4.0ms

localize8.0ms

rewrite27.0ms

series52.0ms

simplify46.0ms

prune132.0ms

localize9.0ms

rewrite39.0ms

series56.0ms

simplify54.0ms

prune128.0ms

localize12.0ms

rewrite19.0ms

series84.0ms

simplify89.0ms

prune73.0ms

localize10.0ms

rewrite68.0ms

series55.0ms

simplify85.0ms

prune188.0ms

regimes660.0ms

bsearch1.9s

simplify1.0ms

end0.0ms

analyze869.0ms

sample571.0ms

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