Details

analyze1.4s

Algorithm: search

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

prune5.0ms

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: 26.8b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

5.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series197.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ t y) a)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
145.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5001	1025

prune174.0ms

Filtered

76 candidates to 102 candidates (-34.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	90	12	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	12	103

Merged error: 8.2b

Counts

103 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
8.6b	(/ (* y b) (+ (+ x t) y))
22.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac`
19×	`distribute-lft-out`
18×	`add-cube-cbrt` `associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/l/` `add-log-exp`
4×	`associate-l` `associate-/r/` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

5.0ms	(* (+ t y) a)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series104.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ t y) a)
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(/ (* y b) (+ (+ x t) y))
64.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	535	998
1	2664	922
2	5002	922

prune165.0ms

Filtered

85 candidates to 118 candidates (-38.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	117	13	130

Merged error: 5.0b

Counts

130 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
10.4b	(* y (/ b (+ (+ x t) y)))
22.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-r`
16×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

7.0ms	(/ b (+ (+ x t) y))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
11.0ms	(* y (/ b (+ (+ x t) y)))
15.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series110.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ b (+ (+ x t) y))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
18.0ms	(* y (/ b (+ (+ x t) y)))
64.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	549	1202
1	2705	1118
2	5001	1118

prune172.0ms

Filtered

100 candidates to 147 candidates (-47.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	148	12	160

Merged error: 3.6b

Counts

160 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
10.7b	(* (* (* (cbrt b) (cbrt b)) y) (/ (cbrt b) (+ (+ x t) y)))
22.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
45×	`times-frac`
36×	`associate-r`
32×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`distribute-lft-out`
27×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`cbrt-prod`
16×	`associate-*l/`
13×	`pow1`
12×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
8×	`frac-add`
6×	`pow-prod-down` `associate-/l/` `add-log-exp`
5×	`associate-/r*`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`associate-/l*`
2×	`div-inv`
1×	`+-commutative` `frac-2neg` `pow1/3` `associate-r/` `associate-l` `clear-num` `sum-log` `-commutative`

Counts

4 → 130

Calls

4 calls:

1.0ms	(cbrt b)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
18.0ms	(* (* (* (cbrt b) (cbrt b)) y) (/ (cbrt b) (+ (+ x t) y)))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series122.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt b)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
16.0ms	(* (* (* (cbrt b) (cbrt b)) y) (/ (cbrt b) (+ (+ x t) y)))
65.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify94.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	746	1490
1	3831	1338
2	5002	1302

prune116.0ms

Filtered

94 candidates to 142 candidates (-51.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	143	11	154

Merged error: 3.6b

Counts

154 → 11

regimes921.0ms

Accuracy

26.3% (17.5b remaining)

Error of 20.5b against oracle of 2.9b and baseline of 26.7b

bsearch4.8s

Steps

Iters	Range		Point
8	1.3186793908776343e+252	1.800237926844385e+256	1.6758839092655142e+255
7	105998.00300553204	5950715.399106683	5855665.917830305
3	-3.7170002033762736e+31	-3.1524554968695045e+31	-3.6817161592196007e+31

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	26
1	43	26

end0.0ms

analyze1.4s

Algorithm: search

sample714.0ms

Algorithm

intervals

Results

458.0ms

8000×

body

valid

Details

analyze1.4s

sample28.0ms

simplify100.0ms

prune5.0ms

localize18.0ms

rewrite38.0ms

series197.0ms

simplify65.0ms

prune174.0ms

localize15.0ms

rewrite37.0ms

series104.0ms

simplify67.0ms

prune165.0ms

localize15.0ms

rewrite45.0ms

series110.0ms

simplify69.0ms

prune172.0ms

localize23.0ms

rewrite45.0ms

series122.0ms

simplify94.0ms

prune116.0ms

regimes921.0ms

bsearch4.8s

simplify2.0ms

end0.0ms

analyze1.4s

sample714.0ms

Profiling