Details

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 53.125%

Guaranteed chance to sample good point: 46.666667%

Results

43.0ms	500×	body	80	valid
31.0ms	430×	body	80	nan

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune17.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

10.0ms	(* (- 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)

series146.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
47.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (48.0ms)

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

prune173.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
0.5b	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
1.2b	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

rewrite43.0ms

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

series206.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow a (- t 1.0))
38.0ms	(* (pow a (- t 1.0)) (pow z y))
72.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
84.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify100.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (84.0ms)

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

prune197.0ms

Filtered

86 candidates to 161 candidates (-87.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	161	6	167

Merged error: 0b

Counts

167 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
1.5b	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`prod-exp`
13×	`add-cbrt-cube`
11×	`div-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-to-exp` `pow-exp`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `associate-/r*` `cbrt-unprod`
1×	`frac-2neg` `associate-r/` `associate-l/` `clear-num` `div-inv` `associate-/l/` `associate-/l*` `pow-sub`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
10.0ms	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

series139.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(cbrt y)
74.0ms	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	416	532
1	1603	454
2	5001	404

prune100.0ms

Filtered

52 candidates to 77 candidates (-48.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	77	6	83

Merged error: 0b

Counts

83 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (* (pow a (- t 1.0)) (pow z y)))
0.1b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
2.7b	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (* y (exp b)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

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

series170.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (* (pow a (- t 1.0)) (pow z y)))
12.0ms	(pow a (- t 1.0))
37.0ms	(* (pow a (- t 1.0)) (pow z y))
77.0ms	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (* y (exp b)))

simplify95.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	718	1299
1	3477	1137
2	5001	1128

prune161.0ms

Filtered

82 candidates to 146 candidates (-78.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	146	6	152

Merged error: 0b

Counts

152 → 6

regimes972.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b 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

sample5.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 53.125%

Guaranteed chance to sample good point: 46.666667%

Results

1.3s	15173×	body	80	valid
959.0ms	13140×	body	80	nan

Details

sample2.1s

simplify51.0ms

prune17.0ms

localize17.0ms

rewrite34.0ms

series146.0ms

simplify58.0ms

prune173.0ms

localize14.0ms

rewrite43.0ms

series206.0ms

simplify100.0ms

prune197.0ms

localize20.0ms

rewrite15.0ms

series139.0ms

simplify45.0ms

prune100.0ms

localize13.0ms

rewrite37.0ms

series170.0ms

simplify95.0ms

prune161.0ms

regimes972.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.7s

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