Details

sample267.0ms

Algorithm

intervals

Results

98.0ms	1398×	body	80	nan
40.0ms	495×	body	80	valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

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: 0.3b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite32.0ms

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))
10.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
6.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series128.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
69.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
43.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4987	1254
1	4987	1254

prune180.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0.0b

Counts

109 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y))
0.3b	(/ (pow a (- t 1.0)) (exp b))
1.9b	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
152×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
107×	`add-cube-cbrt`
98×	`associate-r`
92×	`add-exp-log`
53×	`unpow-prod-down`
46×	`prod-exp`
45×	`div-exp`
29×	`add-cbrt-cube`
28×	`unpow-prod-up`
23×	`sqr-pow`
18×	`pow-to-exp` `pow-exp`
15×	`unswap-sqr`
14×	`sub-neg`
10×	`associate-l` `cbrt-unprod`
9×	`associate-/l*`
7×	`pow1` `cbrt-undiv`
5×	`pow-unpow` `div-inv`
4×	`add-log-exp`
3×	`associate-r/` `associate-/r`
2×	`*-commutative` `pow-sub`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 256

Calls

4 calls:

6.0ms	(pow a (- t 1.0))
32.0ms	(* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y))
6.0ms	(/ (pow a (- t 1.0)) (exp b))
17.0ms	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow a (- t 1.0))
64.0ms	(* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y))
21.0ms	(/ (pow a (- t 1.0)) (exp b))
77.0ms	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4981	4370
1	4981	4370

prune380.0ms

Filtered

183 candidates to 268 candidates (-46.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	265	3	268
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	267	8	275

Merged error: 0b

Counts

275 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y)
0.2b	(* (pow z y) (/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y))
0.3b	(* (pow a t) (/ (pow a (neg 1.0)) (exp b)))
1.9b	(* x (* (pow z y) (/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

344×	`add-exp-log`
223×	`prod-exp`
163×	`div-exp`
84×	`pow-to-exp` `pow-exp`
58×	`add-sqr-sqrt`
52×	`add-cbrt-cube`
36×	`times-frac`
33×	`associate-r`
27×	`add-cube-cbrt` `*-un-lft-identity`
23×	`unpow-prod-down`
21×	`cbrt-unprod`
17×	`associate-l`
15×	`unswap-sqr`
13×	`cbrt-undiv` `sqr-pow`
6×	`pow1`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`associate-/r` `-commutative` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 235

Calls

4 calls:

10.0ms	(/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y)
13.0ms	(* (pow z y) (/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y))
12.0ms	(* (pow a t) (/ (pow a (neg 1.0)) (exp b)))
15.0ms	(* x (* (pow z y) (/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y)
109.0ms	(* (pow z y) (/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y))
34.0ms	(* (pow a t) (/ (pow a (neg 1.0)) (exp b)))
125.0ms	(* x (* (pow z y) (/ (* (pow a t) (/ (pow a (neg 1.0)) (exp b))) y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4978	4047
1	4978	4047

prune229.0ms

Filtered

114 candidates to 247 candidates (-116.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	247	8	255

Merged error: 0b

Counts

255 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
0.5b	(* (pow z y) (pow a (- t 1.0)))
1.9b	(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
38×	`prod-exp`
32×	`div-exp`
28×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
16×	`*-un-lft-identity`
15×	`unpow-prod-down`
14×	`add-cube-cbrt`
9×	`associate-r` `unswap-sqr` `sqr-pow`
8×	`cbrt-undiv`
7×	`associate-l`
6×	`times-frac` `cbrt-unprod` `associate-/l*`
5×	`pow1` `pow-unpow`
4×	`unpow-prod-up` `add-log-exp`
3×	`associate-*r/` `pow-sub`
2×	`sub-neg` `frac-2neg` `clear-num` `associate-/r*` `associate-/r/` `div-inv`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
7.0ms	(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
7.0ms	(* (pow z y) (pow a (- t 1.0)))
13.0ms	(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow a (- t 1.0))
55.0ms	(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
32.0ms	(* (pow z y) (pow a (- t 1.0)))
68.0ms	(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

simplify38.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5433	2005

prune160.0ms

Filtered

92 candidates to 142 candidates (-54.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	3	2	5
Picked	1	0	1
Done	0	2	2
Total	144	6	150

Merged error: 0b

Counts

150 → 6

regimes1.0s

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.1s	44686×	body	80	nan
1.2s	15147×	body	80	valid

Details

sample267.0ms

simplify42.0ms

prune16.0ms

localize16.0ms

rewrite32.0ms

series128.0ms

simplify53.0ms

prune180.0ms

localize15.0ms

rewrite76.0ms

series177.0ms

simplify72.0ms

prune380.0ms

localize16.0ms

rewrite66.0ms

series322.0ms

simplify71.0ms

prune229.0ms

localize14.0ms

rewrite36.0ms

series169.0ms

simplify38.0ms

prune160.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.1s

Profiling