Details

sample270.0ms

Algorithm

intervals

Results

98.0ms	1490×	body	80	nan
39.0ms	517×	body	80	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5079	16

prune30.0ms

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

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite56.0ms

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` `exp-sum` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `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 → 95

Calls

4 calls:

12.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
19.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
12.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series175.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
77.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
80.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify31.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5016	1249

prune191.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite31.0ms

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-up` `unpow-prod-down` `times-frac` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `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 → 103

Calls

4 calls:

7.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
10.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
6.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series141.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
76.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
48.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify61.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5252	1533

prune286.0ms

Filtered

79 candidates to 115 candidates (-45.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.9b	(/ (* x (pow E (- (+ (* y (log z)) (+ (* (- t 1.0) (* 2 (log (cbrt a)))) (* (- t 1.0) (log (cbrt a))))) b))) y)
1.0b	(pow E (- (+ (* y (log z)) (+ (* (- t 1.0) (* 2 (log (cbrt a)))) (* (- t 1.0) (log (cbrt a))))) b))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`add-cbrt-cube`
6×	`cbrt-prod`
5×	`pow1` `pow-unpow` `div-exp`
4×	`pow-exp` `prod-exp` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `pow-to-exp` `e-exp-1` `pow1/3` `pow-sub`
1×	`sub-neg` `pow-pow` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `cbrt-unprod` `div-inv` `associate-/l/` `associate-/l` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
13.0ms	(/ (* x (pow E (- (+ (* y (log z)) (+ (* (- t 1.0) (* 2 (log (cbrt a)))) (* (- t 1.0) (log (cbrt a))))) b))) y)
12.0ms	(pow E (- (+ (* y (log z)) (+ (* (- t 1.0) (* 2 (log (cbrt a)))) (* (- t 1.0) (log (cbrt a))))) b))

series277.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt a)
22.0ms	(cbrt a)
140.0ms	(/ (* x (pow E (- (+ (* y (log z)) (+ (* (- t 1.0) (* 2 (log (cbrt a)))) (* (- t 1.0) (log (cbrt a))))) b))) y)
91.0ms	(pow E (- (+ (* y (log z)) (+ (* (- t 1.0) (* 2 (log (cbrt a)))) (* (- t 1.0) (log (cbrt a))))) b))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5172	1191

prune149.0ms

Filtered

62 candidates to 83 candidates (-33.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow a (neg 1.0)) (* (* (pow a (neg t)) (pow z (neg y))) (exp b))))
0.2b	(* (pow a (neg t)) (pow z (neg y)))
0.4b	(* (* (pow a (neg t)) (pow z (neg y))) (exp b))
0.9b	(/ (* x (/ (pow a (neg 1.0)) (* (* (pow a (neg t)) (pow z (neg y))) (exp b)))) y)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

263×	`add-exp-log`
210×	`prod-exp`
101×	`div-exp`
70×	`pow-to-exp` `pow-exp`
45×	`add-cbrt-cube`
30×	`associate-r`
29×	`add-sqr-sqrt`
24×	`associate-*l/`
21×	`pow-neg`
18×	`neg-sub0` `cbrt-unprod` `pow-sub`
15×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
12×	`frac-times`
11×	`cbrt-undiv` `associate-l`
10×	`times-frac` `unswap-sqr`
9×	`associate-/r/` `sqr-pow`
8×	`pow1` `associate-*r/`
4×	`add-log-exp`
3×	`associate-/r` `un-div-inv` `-commutative`
2×	`pow-prod-down` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 214

Calls

4 calls:

21.0ms	(* x (/ (pow a (neg 1.0)) (* (* (pow a (neg t)) (pow z (neg y))) (exp b))))
7.0ms	(* (pow a (neg t)) (pow z (neg y)))
10.0ms	(* (* (pow a (neg t)) (pow z (neg y))) (exp b))
17.0ms	(/ (* x (/ (pow a (neg 1.0)) (* (* (pow a (neg t)) (pow z (neg y))) (exp b)))) y)

series355.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* x (/ (pow a (neg 1.0)) (* (* (pow a (neg t)) (pow z (neg y))) (exp b))))
31.0ms	(* (pow a (neg t)) (pow z (neg y)))
47.0ms	(* (* (pow a (neg t)) (pow z (neg y))) (exp b))
142.0ms	(/ (* x (/ (pow a (neg 1.0)) (* (* (pow a (neg t)) (pow z (neg y))) (exp b)))) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5116	3609

prune166.0ms

Filtered

97 candidates to 226 candidates (-133.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	223	3	226
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	226	6	232

Merged error: 0b

Counts

232 → 6

regimes734.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.0s	45557×	body	80	nan
1.2s	15194×	body	80	valid

Details

sample270.0ms

simplify38.0ms

prune30.0ms

localize28.0ms

rewrite56.0ms

series175.0ms

simplify31.0ms

prune191.0ms

localize18.0ms

rewrite31.0ms

series141.0ms

simplify61.0ms

prune286.0ms

localize23.0ms

rewrite29.0ms

series277.0ms

simplify49.0ms

prune149.0ms

localize19.0ms

rewrite70.0ms

series355.0ms

simplify88.0ms

prune166.0ms

regimes734.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.0s

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