Details

sample289.0ms

Algorithm

intervals

Results

101.0ms	1469×	body	80	nan
39.0ms	488×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5110	16

prune16.0ms

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: 0.2b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite36.0ms

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:

8.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
8.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
12.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series149.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
51.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5298	1182

prune183.0ms

Filtered

74 candidates to 107 candidates (-44.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Merged error: 0.0b

Counts

109 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite32.0ms

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:

8.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
7.0ms	(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)

series159.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
55.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
85.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5302	1514

prune182.0ms

Filtered

78 candidates to 115 candidates (-47.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(* (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

10.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
7.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
13.0ms	(* (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))

series157.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
57.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
83.0ms	(* (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4967	2053
1	4967	2053

prune201.0ms

Filtered

86 candidates to 141 candidates (-64.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	141	7	148

Merged error: 0.0b

Counts

148 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (pow a (- t 1.0)) (exp b)) y)
0.3b	(pow a (- t 1.0))
0.7b	(/ (pow a (- t 1.0)) (exp b))
1.0b	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

228×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity`
121×	`add-cube-cbrt`
65×	`add-exp-log`
51×	`unpow-prod-down`
40×	`associate-/l*`
34×	`unpow-prod-up`
31×	`div-exp` `prod-exp`
25×	`add-cbrt-cube`
17×	`sub-neg` `sqr-pow`
11×	`pow-to-exp` `pow-exp`
7×	`pow1` `cbrt-undiv` `cbrt-unprod`
6×	`associate-/r*` `div-inv`
5×	`pow-unpow`
4×	`add-log-exp`
3×	`associate-l`
2×	`frac-2neg` `associate-*r/` `clear-num` `associate-/l/` `pow-sub`
1×	`pow-pow` `associate-r` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 254

Calls

4 calls:

12.0ms	(/ (/ (pow a (- t 1.0)) (exp b)) y)
5.0ms	(pow a (- t 1.0))
8.0ms	(/ (pow a (- t 1.0)) (exp b))
19.0ms	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (/ (pow a (- t 1.0)) (exp b)) y)
16.0ms	(pow a (- t 1.0))
24.0ms	(/ (pow a (- t 1.0)) (exp b))
86.0ms	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5798	4526

prune374.0ms

Filtered

189 candidates to 266 candidates (-40.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	264	2	266
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	266	7	273

Merged error: 0.0b

Counts

273 → 7

regimes1.0s

Accuracy

-6% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	59
1	49	59

end0.0ms

sample8.5s

Algorithm

intervals

Results

3.2s	44548×	body	80	nan
1.2s	15048×	body	80	valid

Details

sample289.0ms

simplify37.0ms

prune16.0ms

localize16.0ms

rewrite36.0ms

series149.0ms

simplify37.0ms

prune183.0ms

localize17.0ms

rewrite32.0ms

series159.0ms

simplify40.0ms

prune182.0ms

localize19.0ms

rewrite40.0ms

series157.0ms

simplify55.0ms

prune201.0ms

localize13.0ms

rewrite59.0ms

series166.0ms

simplify53.0ms

prune374.0ms

regimes1.0s

bsearch1.0ms

simplify1.0ms

end0.0ms

sample8.5s

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