Details

sample261.0ms

Algorithm

intervals

Results

100.0ms	1520×	body	80	nan
37.0ms	490×	body	80	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	32	10
1	65	10
2	181	8
3	522	8
4	2203	8
5	5002	8

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: 0.1b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite31.0ms

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:

7.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
6.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
11.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series130.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
44.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
68.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	569	965
1	2353	793
2	5001	726

prune156.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log`
86×	`prod-exp`
40×	`div-exp`
36×	`add-cbrt-cube`
31×	`pow-to-exp` `pow-exp`
28×	`add-sqr-sqrt`
15×	`unpow-prod-down`
14×	`*-un-lft-identity` `cbrt-unprod`
12×	`add-cube-cbrt` `associate-r` `associate-l`
10×	`unswap-sqr`
9×	`sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
5×	`pow-unpow`
4×	`unpow-prod-up` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `times-frac` `associate-l/` `-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 149

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
7.0ms	(* (pow a (- t 1.0)) (pow z y))
9.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
11.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(pow a (- t 1.0))
36.0ms	(* (pow a (- t 1.0)) (pow z y))
72.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
80.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify102.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	768	1546
1	3669	1353
2	5003	1322

prune185.0ms

Filtered

86 candidates to 161 candidates (-87.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	160	6	166

Merged error: 0.0b

Counts

166 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.5b	(* (pow a (- t 1.0)) (pow z y))
0.5b	(* (* (pow a (- t 1.0)) (pow z y)) (/ 1 (* y (exp b))))
1.0b	(* x (* (* (pow a (- t 1.0)) (pow z y)) (/ 1 (* y (exp b)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

451×	`add-exp-log`
406×	`prod-exp`
91×	`pow-to-exp` `pow-exp`
80×	`div-exp`
56×	`add-cbrt-cube`
40×	`rec-exp` `1-exp`
30×	`cbrt-unprod`
27×	`add-sqr-sqrt`
15×	`unpow-prod-down` `-un-lft-identity` `associate-r*`
13×	`add-cube-cbrt` `associate-l`
12×	`pow1`
9×	`unswap-sqr` `sqr-pow`
8×	`cbrt-undiv`
7×	`associate-*l/`
6×	`associate-*r/` `pow-sub`
5×	`pow-unpow`
4×	`unpow-prod-up` `pow-prod-down` `add-log-exp`
3×	`times-frac` `*-commutative`
2×	`frac-times` `sub-neg` `un-div-inv`
1×	`pow-pow` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 259

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
7.0ms	(* (pow a (- t 1.0)) (pow z y))
13.0ms	(* (* (pow a (- t 1.0)) (pow z y)) (/ 1 (* y (exp b))))
17.0ms	(* x (* (* (pow a (- t 1.0)) (pow z y)) (/ 1 (* y (exp b)))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow a (- t 1.0))
37.0ms	(* (pow a (- t 1.0)) (pow z y))
69.0ms	(* (* (pow a (- t 1.0)) (pow z y)) (/ 1 (* y (exp b))))
80.0ms	(* x (* (* (pow a (- t 1.0)) (pow z y)) (/ 1 (* y (exp b)))))

simplify122.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	1035	2689
1	4442	2336
2	5001	2183

prune183.0ms

Filtered

90 candidates to 271 candidates (-201.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	270	1	271
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	272	5	277

Merged error: 0.0b

Counts

277 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow a 1.0) (* y (exp b)))
0.0b	(* (* (pow a t) (pow z y)) x)
0.5b	(* (pow a t) (pow z y))
2.5b	(/ (* (* (pow a t) (pow z y)) x) (* (pow a 1.0) (* y (exp b))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

338×	`add-exp-log`
269×	`prod-exp`
78×	`pow-to-exp` `pow-exp`
77×	`div-exp`
52×	`add-cbrt-cube`
25×	`cbrt-unprod`
23×	`add-sqr-sqrt`
15×	`unpow-prod-down` `associate-l`
11×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`cbrt-undiv` `unswap-sqr` `sqr-pow`
6×	`pow1`
4×	`add-log-exp`
3×	`*-commutative`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 189

Calls

4 calls:

7.0ms	(* (pow a 1.0) (* y (exp b)))
6.0ms	(* (* (pow a t) (pow z y)) x)
6.0ms	(* (pow a t) (pow z y))
14.0ms	(/ (* (* (pow a t) (pow z y)) x) (* (pow a 1.0) (* y (exp b))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (pow a 1.0) (* y (exp b)))
67.0ms	(* (* (pow a t) (pow z y)) x)
27.0ms	(* (pow a t) (pow z y))
173.0ms	(/ (* (* (pow a t) (pow z y)) x) (* (pow a 1.0) (* y (exp b))))

simplify117.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	819	1903
1	4069	1613
2	5003	1526

prune126.0ms

Filtered

78 candidates to 201 candidates (-157.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	201	5	206

Merged error: 0.0b

Counts

206 → 5

regimes870.0ms

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	10
1	21	10

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.9s	44831×	body	80	nan
1.2s	15110×	body	80	valid

Details

sample261.0ms

simplify55.0ms

prune18.0ms

localize16.0ms

rewrite31.0ms

series130.0ms

simplify60.0ms

prune156.0ms

localize13.0ms

rewrite37.0ms

series201.0ms

simplify102.0ms

prune185.0ms

localize15.0ms

rewrite58.0ms

series198.0ms

simplify122.0ms

prune183.0ms

localize18.0ms

rewrite43.0ms

series316.0ms

simplify117.0ms

prune126.0ms

regimes870.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.6s

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