Details

analyze244.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4964	12
1	4964	12

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ y 0.5) (log y)) z)
0.0b	(+ x (- y (+ (* (+ y 0.5) (log y)) z)))
0.1b	(- y (+ (* (+ y 0.5) (log y)) z))
0.1b	(* (+ y 0.5) (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sum-log` `add-cbrt-cube`
4×	`diff-log` `associate-r` `associate-l`
3×	`flip3-+` `flip-+` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-*l/` `distribute-lft-out--`
1×	`associate-+r-` `associate-+r+` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

10.0ms	(+ (* (+ y 0.5) (log y)) z)
9.0ms	(+ x (- y (+ (* (+ y 0.5) (log y)) z)))
7.0ms	(- y (+ (* (+ y 0.5) (log y)) z))
6.0ms	(* (+ y 0.5) (log y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* (+ y 0.5) (log y)) z)
16.0ms	(+ x (- y (+ (* (+ y 0.5) (log y)) z)))
12.0ms	(- y (+ (* (+ y 0.5) (log y)) z))
21.0ms	(* (+ y 0.5) (log y))

simplify54.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5130	1045

prune130.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
29×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`associate-l` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `distribute-lft-out`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative`

Counts

4 → 119

Calls

4 calls:

9.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
13.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series230.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
113.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
23.0ms	(cbrt y)
26.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4940	1540
1	4940	1540

prune162.0ms

Filtered

88 candidates to 131 candidates (-48.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	132	8	140

Merged error: 0.0b

Counts

140 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(- y (+ (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3))) z))
0.2b	(/ 1 (/ -1 y))
0.3b	(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
0.6b	(cbrt (/ 1 (/ -1 y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
87×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`cbrt-prod`
17×	`add-exp-log`
13×	`associate-/r*`
11×	`add-cbrt-cube`
10×	`pow1`
9×	`div-inv` `add-log-exp`
7×	`div-exp`
6×	`associate-l`
3×	`cbrt-undiv` `pow1/3` `associate-r` `pow-prod-down` `log-pow` `associate-/l*`
2×	`rec-exp` `diff-log` `1-exp` `associate-*r/` `associate-/r/`
1×	`distribute-rgt-in` `sub-neg` `cbrt-div` `flip3--` `pow-flip` `frac-2neg` `distribute-lft-in` `flip3-+` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 169

Calls

4 calls:

14.0ms	(- y (+ (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3))) z))
6.0ms	(/ 1 (/ -1 y))
14.0ms	(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
8.0ms	(cbrt (/ 1 (/ -1 y)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- y (+ (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3))) z))
2.0ms	(/ 1 (/ -1 y))
91.0ms	(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
25.0ms	(cbrt (/ 1 (/ -1 y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5860	2104

prune319.0ms

Filtered

115 candidates to 181 candidates (-57.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	182	7	189

Merged error: 0b

Counts

189 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (+ y 0.5) (+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))) (* (+ y 0.5) (log (cbrt (sqrt y)))))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
21×	`flip3-+` `flip-+`
20×	`associate-*l/`
18×	`associate-+r+` `log-prod`
16×	`frac-add`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
3×	`pow1/3`
2×	`associate-+l+`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

14.0ms	(+ (* (+ y 0.5) (+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))) (* (+ y 0.5) (log (cbrt (sqrt y)))))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
1.0ms	(cbrt y)

series212.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (* (+ y 0.5) (+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))) (* (+ y 0.5) (log (cbrt (sqrt y)))))
16.0ms	(cbrt (sqrt y))
19.0ms	(cbrt (sqrt y))
23.0ms	(cbrt y)

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5942	2180

prune151.0ms

Filtered

81 candidates to 99 candidates (-22.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	99	7	106

Merged error: 0b

Counts

106 → 7

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

end0.0ms

sample530.0ms

Algorithm

intervals

Results

349.0ms	7995×	body	80	valid
1.0ms	34×	body	80	invalid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze244.0ms

sample21.0ms

simplify119.0ms

prune8.0ms

localize9.0ms

rewrite35.0ms

series59.0ms

simplify54.0ms

prune130.0ms

localize15.0ms

rewrite30.0ms

series230.0ms

simplify72.0ms

prune162.0ms

localize17.0ms

rewrite49.0ms

series163.0ms

simplify43.0ms

prune319.0ms

localize21.0ms

rewrite23.0ms

series212.0ms

simplify45.0ms

prune151.0ms

regimes191.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample530.0ms

Profiling