Details

sample213.0ms

Algorithm

intervals

Results

97.0ms	1255×	body	80	nan
34.0ms	409×	body	80	valid
5.0ms	17×	body	320	valid
5.0ms	11×	body	640	valid
1.0ms	7×	body	160	valid
1.0ms	1×	body	1280	valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10

prune3.0ms

Filtered

1 candidates to 0 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: 1.7b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.1b	(* y (- (log z) t))
5.8b	(log (- 1.0 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

12.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
11.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
7.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series416.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
159.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
74.0ms	(* y (- (log z) t))
44.0ms	(log (- 1.0 z))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	421	743
1	1522	653
2	5001	632

prune289.0ms

Filtered

93 candidates to 66 candidates (71.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

18.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
22.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
22.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
7.0ms	(* y (- (log z) t))

series570.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
225.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
104.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
75.0ms	(* y (- (log z) t))

simplify67.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	524	1366
1	2152	1206
2	5002	1195

prune391.0ms

Filtered

115 candidates to 72 candidates (62.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	115	5	120

Merged error: 0.0b

Counts

120 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series742.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt x) (cbrt x))
182.0ms	(cbrt x)
174.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune421.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.2b	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))
0.2b	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))
0.2b	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

7.0ms	(* y (- (log z) t))
18.0ms	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))
18.0ms	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))
21.0ms	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

75.0ms	(* y (- (log z) t))
388.0ms	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))
389.0ms	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))
387.0ms	(cbrt (* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	324	944
1	1189	816
2	5001	799

prune396.0ms

Filtered

72 candidates to 54 candidates (75.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	72	6	78

Merged error: 0b

Counts

78 → 6

regimes500.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.0s	40860×	body	80	nan
1.0s	12523×	body	80	valid
161.0ms	370×	body	640	valid
119.0ms	430×	body	320	valid
53.0ms	65×	body	1280	valid
45.0ms	261×	body	160	valid

Details

sample213.0ms

simplify41.0ms

prune3.0ms

localize17.0ms

rewrite37.0ms

series416.0ms

simplify49.0ms

prune289.0ms

localize25.0ms

rewrite74.0ms

series570.0ms

simplify67.0ms

prune391.0ms

localize28.0ms

rewrite11.0ms

series742.0ms

simplify93.0ms

prune421.0ms

localize28.0ms

rewrite66.0ms

series1.2s

simplify45.0ms

prune396.0ms

regimes500.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.5s

Profiling