Details

sample41.0ms

Algorithm

intervals

Results

11.0ms

333×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

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: 4.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.7b	(/ (* y (- z t)) a)

rewrite18.0ms

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` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `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 → 61

Calls

3 calls:

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

series39.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ x (/ (* y (- z t)) a))
11.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) a)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	297	325
1	1236	280
2	5001	280

prune85.0ms

Filtered

45 candidates to 70 candidates (-55.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (- z t)) (/ 1 a)))
0.0b	(* y (- z t))
6.9b	(* (* y (- z t)) (/ 1 a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

3.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
6.0ms	(* y (- z t))
12.0ms	(* (* y (- z t)) (/ 1 a))

series35.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
7.0ms	(* y (- z t))
12.0ms	(* (* y (- z t)) (/ 1 a))

simplify55.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	424	472
1	2166	394
2	5002	380

prune90.0ms

Filtered

52 candidates to 88 candidates (-69.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	7	94

Merged error: 0b

Counts

94 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
1.5b	(/ (/ (* y (- z t)) (* (cbrt a) (cbrt a))) (cbrt a))
5.5b	(/ (* y (- z t)) (* (cbrt a) (cbrt a)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac`
34×	`add-exp-log`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod`
21×	`add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
9×	`div-inv`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/r*`
6×	`associate-/l*`
4×	`pow1` `add-log-exp`
3×	`associate-/l/`
2×	`frac-2neg` `pow1/3` `associate-*r/` `clear-num`
1×	`flip3--` `flip--`

Counts

4 → 107

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
11.0ms	(/ (/ (* y (- z t)) (* (cbrt a) (cbrt a))) (cbrt a))
10.0ms	(/ (* y (- z t)) (* (cbrt a) (cbrt a)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt a)
22.0ms	(cbrt a)
18.0ms	(/ (/ (* y (- z t)) (* (cbrt a) (cbrt a))) (cbrt a))
52.0ms	(/ (* y (- z t)) (* (cbrt a) (cbrt a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	487	1150
1	2092	988
2	5001	950

prune120.0ms

Filtered

89 candidates to 119 candidates (-33.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
7.8b	(/ y (/ a (- z t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

18.0ms	(+ x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
8.0ms	(/ y (/ a (- z t)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ x (/ y (/ a (- z t))))
10.0ms	(/ a (- z t))
13.0ms	(/ y (/ a (- z t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	547	1150
1	2384	1110
2	5001	1107

prune124.0ms

Filtered

119 candidates to 160 candidates (-34.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	160	7	167

Merged error: 0b

Counts

167 → 7

regimes803.0ms

Accuracy

61.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

566.0ms

10768×

body

valid

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Details

sample41.0ms

simplify40.0ms

prune4.0ms

localize7.0ms

rewrite18.0ms

series39.0ms

simplify38.0ms

prune85.0ms

localize8.0ms

rewrite23.0ms

series35.0ms

simplify55.0ms

prune90.0ms

localize11.0ms

rewrite27.0ms

series114.0ms

simplify59.0ms

prune120.0ms

localize7.0ms

rewrite37.0ms

series39.0ms

simplify62.0ms

prune124.0ms

regimes803.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4