Details

analyze855.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

sample109.0ms

Algorithm

intervals

Results

28.0ms	406×	body	80	nan
22.0ms	227×	body	80	invalid
21.0ms	256×	body	80	valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5079	16

prune18.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.3b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

7.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
11.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series131.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
44.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
71.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5016	1237

prune194.0ms

Filtered

76 candidates to 106 candidates (-39.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Merged error: 0.1b

Counts

108 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
6.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
8.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series137.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
49.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
72.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5252	1516

prune175.0ms

Filtered

78 candidates to 114 candidates (-46.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
0.3b	(pow a (- t 1.0))
0.5b	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
1.2b	(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
62×	`prod-exp`
54×	`add-sqr-sqrt`
41×	`div-exp`
36×	`times-frac`
32×	`add-cbrt-cube`
29×	`associate-r`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
22×	`pow-to-exp` `unpow-prod-down` `pow-exp`
12×	`cbrt-unprod` `unswap-sqr` `sqr-pow`
10×	`associate-l`
7×	`pow1` `cbrt-undiv`
5×	`pow-unpow` `associate-*r/`
4×	`unpow-prod-up` `sub-neg` `add-log-exp`
3×	`associate-/r*`
2×	`*-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `associate-/l*` `distribute-lft-out--` `pow-sub` `difference-of-squares`

Counts

4 → 157

Calls

4 calls:

11.0ms	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
4.0ms	(pow a (- t 1.0))
13.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
13.0ms	(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)

series213.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
12.0ms	(pow a (- t 1.0))
57.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
76.0ms	(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4972	2544
1	4972	2544

prune231.0ms

Filtered

104 candidates to 169 candidates (-62.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	166	3	169
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	169	8	177

Merged error: 0.0b

Counts

177 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow a t) (pow a 1.0))
0.0b	(* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))))
0.5b	(* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))
1.2b	(/ (* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))) y)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

415×	`times-frac`
314×	`add-exp-log`
276×	`add-sqr-sqrt`
215×	`div-exp`
206×	`unpow-prod-down`
182×	`add-cube-cbrt` `*-un-lft-identity`
167×	`prod-exp`
164×	`associate-r`
93×	`pow-to-exp` `pow-exp`
88×	`sqr-pow`
49×	`add-cbrt-cube`
33×	`unswap-sqr`
17×	`cbrt-unprod`
15×	`cbrt-undiv`
10×	`associate-l` `associate-/r*`
8×	`associate-/l*`
6×	`pow1` `div-inv`
5×	`associate-*r/`
4×	`add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`pow-prod-down` `associate-/l/` `pow-div`

Counts

4 → 442

Calls

4 calls:

6.0ms	(/ (pow a t) (pow a 1.0))
23.0ms	(* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))))
50.0ms	(* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))
25.0ms	(/ (* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))) y)

series408.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (pow a t) (pow a 1.0))
124.0ms	(* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))))
107.0ms	(* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))
129.0ms	(/ (* x (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b)))) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

454 → 454

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5145	8165

prune553.0ms

Filtered

269 candidates to 454 candidates (-68.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	454	0	454
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	454	8	462

Merged error: 0.0b

Counts

462 → 8

regimes1.1s

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	19
1	43	19

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.0s	14169×	body	80	nan
710.0ms	8000×	body	80	valid
608.0ms	7058×	body	80	invalid

Details

analyze855.0ms

sample109.0ms

simplify42.0ms

prune18.0ms

localize18.0ms

rewrite33.0ms

series131.0ms

simplify43.0ms

prune194.0ms

localize18.0ms

rewrite30.0ms

series137.0ms

simplify45.0ms

prune175.0ms

localize17.0ms

rewrite48.0ms

series213.0ms

simplify59.0ms

prune231.0ms

localize16.0ms

rewrite138.0ms

series408.0ms

simplify68.0ms

prune553.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.3s

Profiling