Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample17.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4899	19
1	4899	19

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: 0.0b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ 0.99229 (* x 0.04481))
23.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
9.0ms	(* x (+ 0.99229 (* x 0.04481)))
11.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
13.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
10.0ms	(* x (+ 0.99229 (* x 0.04481)))
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5200	1616

prune228.0ms

Filtered

74 candidates to 101 candidates (-36.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
15.2b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
78×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
60×	`add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
13×	`associate-r`
11×	`associate-/r/`
9×	`pow1`
8×	`div-exp`
7×	`flip3-+` `flip-+` `div-inv`
6×	`associate-l` `associate-/l*`
5×	`difference-of-squares`
4×	`cbrt-undiv` `associate-*r/` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `rec-exp` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`flip3--` `pow-flip` `flip--` `inv-pow`

Counts

4 → 166

Calls

4 calls:

22.0ms	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
8.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
9.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
5.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify61.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5130	3810

prune304.0ms

Filtered

121 candidates to 178 candidates (-47.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	178	4	182

Merged error: 0b

Counts

182 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* x (neg 0.70711)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
15.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

9.0ms	(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* x (neg 0.70711)))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series25.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* x (neg 0.70711)))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify35.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5318	2013

prune187.0ms

Filtered

86 candidates to 111 candidates (-29.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	111	4	115

Merged error: 0b

Counts

115 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp (+ 0.99229 (* x 0.04481))) x)))) x))
0.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp (+ 0.99229 (* x 0.04481))) x))))
0.0b	(exp (+ 0.99229 (* x 0.04481)))
3.8b	(log (pow (exp (+ 0.99229 (* x 0.04481))) x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
13×	`times-frac`
9×	`add-exp-log`
8×	`log-prod` `add-cbrt-cube`
7×	`add-log-exp`
6×	`pow1` `associate-r`
4×	`unpow-prod-down` `associate-/r*` `distribute-lft-out`
3×	`exp-prod` `rem-log-exp` `associate-l` `associate-/l*`
2×	`sub-neg` `flip3-+` `associate-*r/` `exp-sum` `associate-/r/` `flip-+` `rem-exp-log` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `sum-log` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

15.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp (+ 0.99229 (* x 0.04481))) x)))) x))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp (+ 0.99229 (* x 0.04481))) x))))
4.0ms	(exp (+ 0.99229 (* x 0.04481)))
4.0ms	(log (pow (exp (+ 0.99229 (* x 0.04481))) x))

series166.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp (+ 0.99229 (* x 0.04481))) x)))) x))
41.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp (+ 0.99229 (* x 0.04481))) x))))
2.0ms	(exp (+ 0.99229 (* x 0.04481)))
16.0ms	(log (pow (exp (+ 0.99229 (* x 0.04481))) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4984	1835
1	4984	1835

prune184.0ms

Filtered

79 candidates to 104 candidates (-31.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0b

Counts

108 → 4

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

sample452.0ms

Algorithm

intervals

Results

363.0ms

8000×

body

valid

Details

analyze4.0ms

sample17.0ms

simplify65.0ms

prune4.0ms

localize20.0ms

rewrite52.0ms

series38.0ms

simplify63.0ms

prune228.0ms

localize13.0ms

rewrite50.0ms

series24.0ms

simplify61.0ms

prune304.0ms

localize14.0ms

rewrite32.0ms

series25.0ms

simplify35.0ms

prune187.0ms

localize16.0ms

rewrite33.0ms

series166.0ms

simplify55.0ms

prune184.0ms

regimes29.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample452.0ms

Profiling