Details

sample56.0ms

Algorithm

intervals

Results

37.0ms

668×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.2b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`associate-l`
40×	`*-un-lft-identity`
28×	`associate-+r+`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`add-cube-cbrt`
17×	`associate-r`
15×	`pow1` `add-exp-log` `unswap-sqr`
14×	`add-cbrt-cube`
10×	`swap-sqr`
9×	`+-commutative`
8×	`unpow-prod-down` `associate-+l+` `distribute-lft-out`
6×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
4×	`associate-*r/`
3×	`pow-unpow`
2×	`flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `sqr-pow`

Counts

4 → 146

Calls

4 calls:

124.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
12.0ms	(* (* a a) (+ 1.0 a))
17.0ms	(pow (+ (* a a) (* b b)) 2.0)
16.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
48.0ms	(* (* a a) (+ 1.0 a))
109.0ms	(pow (+ (* a a) (* b b)) 2.0)
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify100.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	714	1113
1	3393	1031
2	5001	1031

prune333.0ms

Filtered

158 candidates to 100 candidates (36.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	151	7	158
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	7	159

Merged error: 0b

Counts

159 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
22.9b	(cbrt (* (* a a) (+ 1.0 a)))
22.9b	(cbrt (* (* a a) (+ 1.0 a)))
22.9b	(cbrt (* (* a a) (+ 1.0 a)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

87×	`cbrt-prod`
84×	`add-sqr-sqrt`
73×	`associate-l`
41×	`*-un-lft-identity`
31×	`add-cube-cbrt` `associate-r`
29×	`unswap-sqr`
16×	`swap-sqr`
12×	`*-commutative`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `flip--`

Counts

4 → 164

Calls

4 calls:

16.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
15.0ms	(cbrt (* (* a a) (+ 1.0 a)))
12.0ms	(cbrt (* (* a a) (+ 1.0 a)))
12.0ms	(cbrt (* (* a a) (+ 1.0 a)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
100.0ms	(cbrt (* (* a a) (+ 1.0 a)))
98.0ms	(cbrt (* (* a a) (+ 1.0 a)))
97.0ms	(cbrt (* (* a a) (+ 1.0 a)))

simplify83.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	543	1333
1	2430	1246
2	5002	1222

prune521.0ms

Filtered

176 candidates to 113 candidates (35.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	176	7	183

Merged error: 0b

Counts

183 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
36×	`cbrt-prod`
33×	`add-sqr-sqrt`
31×	`associate-l`
24×	`unpow-prod-down`
16×	`add-cube-cbrt`
15×	`distribute-lft-out`
10×	`swap-sqr` `associate-r`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `flip--`

Counts

4 → 107

Calls

4 calls:

16.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series517.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	331	847
1	1394	781
2	5001	754

prune318.0ms

Filtered

119 candidates to 74 candidates (37.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
3.7b	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
21.6b	(log (pow (+ (* a a) (* b b)) 2.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
31×	`associate-l`
24×	`unpow-prod-down` `log-prod`
19×	`add-cube-cbrt`
15×	`distribute-lft-out`
14×	`pow1`
12×	`add-exp-log` `exp-sum` `log-pow`
10×	`swap-sqr` `associate-r`
9×	`pow-unpow` `exp-prod` `add-cbrt-cube`
8×	`unswap-sqr`
5×	`add-log-exp`
3×	`pow-pow` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `flip--`

Counts

4 → 127

Calls

4 calls:

17.0ms	(pow (+ (* a a) (* b b)) 2.0)
18.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
20.0ms	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
18.0ms	(log (pow (+ (* a a) (* b b)) 2.0))

series371.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(pow (+ (* a a) (* b b)) 2.0)
56.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
105.0ms	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
104.0ms	(log (pow (+ (* a a) (* b b)) 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	413	813
1	1807	747
2	5002	735

prune292.0ms

Filtered

139 candidates to 76 candidates (45.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	139	7	146

Merged error: 0b

Counts

146 → 7

regimes146.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	26
1	31	26

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

20764×

body

valid