Details

analyze335.0ms

Algorithm: search

sample49.0ms

Algorithm

intervals

Results

13.0ms	194×	body	80	valid
9.0ms	25×	body	640	valid
8.0ms	10×	body	1280	valid
4.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	9×	body	80	nan
0.0ms	1×	body	80	invalid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9

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: 6.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
6.2b	(log (- 1.0 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 94

Calls

4 calls:

8.0ms	(* (- z 1.0) (log (- 1.0 y)))
10.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
6.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series55.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (- z 1.0) (log (- 1.0 y)))
35.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	548	838
1	1936	745
2	5002	711

prune191.0ms

Filtered

73 candidates to 106 candidates (-45.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.1b	(* (- x 1.0) (log y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
55×	`*-un-lft-identity`
46×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
13×	`associate-l` `add-cbrt-cube`
12×	`pow1` `log-prod` `prod-exp`
9×	`div-exp` `add-log-exp`
8×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
7×	`associate--l+`
6×	`pow-to-exp` `pow-exp`
5×	`distribute-lft-out--`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `difference-of-squares`
3×	`sub-neg` `associate-r/` `pow-prod-down` `-commutative`
2×	`diff-log` `log-pow`
1×	`cbrt-undiv` `sum-log` `div-inv`

Counts

4 → 196

Calls

4 calls:

12.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
22.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
11.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
6.0ms	(* (- x 1.0) (log y))

series86.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
59.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
9.0ms	(* (- x 1.0) (log y))

simplify115.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	1047	1872
1	4604	1655
2	5002	1644

prune477.0ms

Filtered

132 candidates to 208 candidates (-57.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	207	8	215

Merged error: 0.0b

Counts

215 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
3.0ms	(cbrt (- z 1.0))
3.0ms	(cbrt (- z 1.0))
3.0ms	(cbrt (- z 1.0))

series37.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
8.0ms	(cbrt (- z 1.0))
11.0ms	(cbrt (- z 1.0))
9.0ms	(cbrt (- z 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	368	950
1	1212	913
2	5001	853

prune384.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log y))
7.3b	(+ (* (- z 1.0) (log (+ (sqrt 1.0) (sqrt y)))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
10.5b	(log (- (sqrt 1.0) (sqrt y)))
10.6b	(log (+ (sqrt 1.0) (sqrt y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
24×	`sqrt-prod`
18×	`associate-+r+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
10×	`associate-+l+` `associate-*l/`
9×	`pow1`
8×	`add-exp-log`
7×	`distribute-lft-out` `distribute-lft-out--`
6×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
5×	`associate-l`
4×	`log-div` `associate-r` `frac-add`
3×	`log-pow`
2×	`flip3-+` `rem-log-exp` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

6.0ms	(* (- x 1.0) (log y))
17.0ms	(+ (* (- z 1.0) (log (+ (sqrt 1.0) (sqrt y)))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- x 1.0) (log y))
34.0ms	(+ (* (- z 1.0) (log (+ (sqrt 1.0) (sqrt y)))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
8.0ms	(log (- (sqrt 1.0) (sqrt y)))
8.0ms	(log (+ (sqrt 1.0) (sqrt y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	787	1411
1	3148	1300
2	5001	1248

prune267.0ms

Filtered

82 candidates to 121 candidates (-47.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

regimes476.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

analyze330.0ms

Algorithm: search

sample1.3s

Algorithm

intervals

Results

406.0ms	5871×	body	80	valid
284.0ms	789×	body	640	valid
185.0ms	265×	body	1280	valid
152.0ms	648×	body	320	valid
62.0ms	427×	body	160	valid
17.0ms	240×	body	80	nan
3.0ms	39×	body	80	invalid

Details

analyze335.0ms

sample49.0ms

simplify134.0ms

prune4.0ms

localize13.0ms

rewrite33.0ms

series55.0ms

simplify53.0ms

prune191.0ms

localize20.0ms

rewrite60.0ms

series86.0ms

simplify115.0ms

prune477.0ms

localize24.0ms

rewrite22.0ms

series37.0ms

simplify45.0ms

prune384.0ms

localize24.0ms

rewrite39.0ms

series59.0ms

simplify76.0ms

prune267.0ms

regimes476.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze330.0ms

sample1.3s

Profiling