Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	17
1	40	17

prune2.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(- (/ (+ 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)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
11.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ 0.99229 (* x 0.04481))
8.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5550	1456

prune149.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
8×	`log-prod`
7×	`add-exp-log`
6×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`pow-pow` `associate-/r*` `distribute-lft-out`
3×	`pow-unpow` `exp-prod` `flip3-+` `rem-log-exp` `flip-+` `associate-/l*`
2×	`unpow-prod-up` `pow-to-exp` `pow-exp` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `log-pow` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (+ 0.99229 (* x 0.04481))))))
6.0ms	(pow (exp x) (+ 0.99229 (* x 0.04481)))
4.0ms	(log (pow (exp x) (+ 0.99229 (* x 0.04481))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 0.99229 (* x 0.04481))
52.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (+ 0.99229 (* x 0.04481))))))
5.0ms	(pow (exp x) (+ 0.99229 (* x 0.04481)))
18.0ms	(log (pow (exp x) (+ 0.99229 (* x 0.04481))))

simplify27.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5058	1518

prune168.0ms

Filtered

72 candidates to 98 candidates (-36.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize20.0ms

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))))))

rewrite44.0ms

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))
4.0ms	(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))
7.0ms	(pow (* x 0.27061) 3)
7.0ms	(* 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 (19.0ms)

Iter	Nodes	Cost
0	5004	2007

prune249.0ms

Filtered

76 candidates to 121 candidates (-59.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 1.900161040244073) 3.0191289436999997)
0.1b	(* x (- (* x 1.900161040244073) 3.0191289436999997))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(- (* x 1.900161040244073) 3.0191289436999997)
7.0ms	(* x (- (* x 1.900161040244073) 3.0191289436999997))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (* x 1.900161040244073) 3.0191289436999997)
6.0ms	(* x (- (* x 1.900161040244073) 3.0191289436999997))

simplify47.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4971	349
1	4971	349

prune42.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Merged error: 0b

Counts

45 → 3

regimes29.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	19
1	21	19

end0.0ms

sample710.0ms

Algorithm

intervals

Results

352.0ms

8000×

body

valid

Details

sample19.0ms

simplify3.0ms

prune2.0ms

localize11.0ms

rewrite29.0ms

series24.0ms

simplify38.0ms

prune149.0ms

localize16.0ms

rewrite23.0ms

series84.0ms

simplify27.0ms

prune168.0ms

localize20.0ms

rewrite44.0ms

series29.0ms

simplify32.0ms

prune249.0ms

localize6.0ms

rewrite12.0ms

series10.0ms

simplify47.0ms

prune42.0ms

regimes29.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample710.0ms

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