Details

sample24.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5095	19

prune3.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
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)))
14.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

12.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
15.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
9.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify40.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5330	1953

prune193.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	4	108

Merged error: 0b

Counts

108 → 4

localize15.0ms

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)
14.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite38.0ms

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` `distribute-rgt-neg-out` `div-inv` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `unsub-neg` `associate-*l/` `clear-num` `sum-log`

Counts

4 → 100

Calls

4 calls:

10.0ms	(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* x (neg 0.70711)))
8.0ms	(* x (+ 0.99229 (* x 0.04481)))
10.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* x (neg 0.70711)))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(* (/ (+ 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)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5014	2015

prune212.0ms

Filtered

86 candidates to 112 candidates (-30.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	112	4	116

Merged error: 0b

Counts

116 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (+ 0.99229 (* x 0.04481))))))
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (+ 0.99229 (* x 0.04481)))))) x))
0.0b	(pow (exp x) (+ 0.99229 (* x 0.04481)))
5.1b	(log (pow (exp x) (+ 0.99229 (* x 0.04481))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

8.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (+ 0.99229 (* x 0.04481))))))
16.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (+ 0.99229 (* x 0.04481)))))) x))
6.0ms	(pow (exp x) (+ 0.99229 (* x 0.04481)))
4.0ms	(log (pow (exp x) (+ 0.99229 (* x 0.04481))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (+ 0.99229 (* x 0.04481))))))
113.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (+ 0.99229 (* x 0.04481)))))) x))
6.0ms	(pow (exp x) (+ 0.99229 (* x 0.04481)))
18.0ms	(log (pow (exp x) (+ 0.99229 (* x 0.04481))))

simplify32.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5585	2170

prune224.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	114	4	118

Merged error: 0b

Counts

118 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.27061 (- (* x 0.27061) 2.30753))
0.2b	(pow (* x 0.27061) 3)
0.3b	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
23.0b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
14×	`pow1` `*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
8×	`associate-*r/` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
5×	`times-frac` `pow-prod-down` `associate-/l*`
4×	`frac-times` `associate-r` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `flip3--` `pow-pow` `div-exp` `associate-l/` `pow-exp` `sum-cubes` `-commutative` `flip--` `associate-/l/` `distribute-lft-out` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `clear-num` `associate-/r*` `div-inv` `unswap-sqr` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

8.0ms	(* 0.27061 (- (* x 0.27061) 2.30753))
5.0ms	(pow (* x 0.27061) 3)
9.0ms	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
19.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* 0.27061 (- (* x 0.27061) 2.30753))
5.0ms	(pow (* x 0.27061) 3)
10.0ms	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
9.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))))

simplify32.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5004	2007

prune262.0ms

Filtered

76 candidates to 121 candidates (-59.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Merged error: 0b

Counts

125 → 4

regimes72.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	33	22
1	33	22

end0.0ms

sample554.0ms

Algorithm

intervals

Results

402.0ms

8000×

body

valid

Details

sample24.0ms

simplify47.0ms

prune3.0ms

localize13.0ms

rewrite43.0ms

series32.0ms

simplify40.0ms

prune193.0ms

localize15.0ms

rewrite38.0ms

series27.0ms

simplify41.0ms

prune212.0ms

localize16.0ms

rewrite38.0ms

series189.0ms

simplify32.0ms

prune224.0ms

localize23.0ms

rewrite45.0ms

series29.0ms

simplify32.0ms

prune262.0ms

regimes72.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample554.0ms

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