Details

sample219.0ms

Algorithm

intervals

Results

97.0ms	1437×	body	80	nan
40.0ms	468×	body	80	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	33	10
1	73	10
2	197	8
3	558	8
4	2287	8
5	5001	8

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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))
0.9b	(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

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `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 → 112

Calls

4 calls:

7.0ms	(* (- 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)

series383.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- t 1.0) (log a))
40.0ms	(* y (log z))
112.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
175.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	580	1143
1	2309	897
2	5002	860

prune359.0ms

Filtered

124 candidates to 89 candidates (71.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Merged error: 0b

Counts

126 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
0.3b	(* (pow a (- t 1.0)) (pow z y))
1.8b	(/ (* (- x) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) (* -1 y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-exp-log`
70×	`prod-exp`
54×	`div-exp`
43×	`add-cbrt-cube`
38×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
25×	`pow-to-exp` `pow-exp`
24×	`add-cube-cbrt`
22×	`unpow-prod-up`
18×	`associate-l` `prod-diff`
15×	`unpow-prod-down`
14×	`cbrt-undiv` `cbrt-unprod`
9×	`unswap-sqr` `sqr-pow`
7×	`associate-r`
5×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l/` `associate-/l`
1×	`distribute-lft-neg-out` `pow-pow` `associate-r/` `distribute-frac-neg` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 169

Calls

4 calls:

5.0ms	(pow a (- t 1.0))
10.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
10.0ms	(* (pow a (- t 1.0)) (pow z y))
14.0ms	(/ (* (- x) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) (* -1 y))

series592.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(pow a (- t 1.0))
179.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
121.0ms	(* (pow a (- t 1.0)) (pow z y))
233.0ms	(/ (* (- x) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) (* -1 y))

simplify119.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	881	1694
1	4624	1362
2	5001	1361

prune453.0ms

Filtered

181 candidates to 108 candidates (59.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	181	6	187

Merged error: 0b

Counts

187 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
1.1b	(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
1.3b	(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log`
49×	`prod-exp`
43×	`add-sqr-sqrt`
32×	`div-exp`
29×	`*-un-lft-identity` `add-cbrt-cube`
27×	`add-cube-cbrt`
26×	`associate-l`
22×	`unpow-prod-up`
19×	`pow-to-exp` `pow-exp`
18×	`prod-diff`
15×	`unpow-prod-down`
10×	`associate-r` `unswap-sqr`
9×	`cbrt-unprod` `sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
6×	`times-frac`
5×	`pow-unpow`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*` `pow-sub`
2×	`sub-neg` `associate-/r/` `*-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 162

Calls

4 calls:

5.0ms	(pow a (- t 1.0))
10.0ms	(* (pow a (- t 1.0)) (pow z y))
18.0ms	(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
13.0ms	(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

series585.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(pow a (- t 1.0))
122.0ms	(* (pow a (- t 1.0)) (pow z y))
206.0ms	(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
195.0ms	(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

simplify88.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	828	1486
1	3595	1240
2	5003	1233

prune439.0ms

Filtered

174 candidates to 112 candidates (64.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	174	6	180

Merged error: 0b

Counts

180 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(/ (/ (* (/ x (cbrt y)) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) (cbrt y)) (cbrt y))
2.3b	(* (/ x (cbrt y)) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

175×	`add-exp-log`
125×	`times-frac`
109×	`div-exp`
80×	`prod-exp`
72×	`add-sqr-sqrt`
70×	`cbrt-prod`
64×	`add-cube-cbrt` `*-un-lft-identity`
42×	`add-cbrt-cube`
29×	`cbrt-undiv`
24×	`pow-to-exp` `pow-exp`
22×	`associate-l`
16×	`cbrt-unprod`
10×	`div-inv` `associate-/l*`
7×	`associate-r`
6×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 221

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
21.0ms	(/ (/ (* (/ x (cbrt y)) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) (cbrt y)) (cbrt y))
17.0ms	(* (/ x (cbrt y)) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))

series916.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
179.0ms	(cbrt y)
259.0ms	(/ (/ (* (/ x (cbrt y)) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) (cbrt y)) (cbrt y))
292.0ms	(* (/ x (cbrt y)) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))

simplify54.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1107	3421
1	5002	3088

prune698.0ms

Filtered

233 candidates to 154 candidates (66.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	233	6	239

Merged error: 0b

Counts

239 → 6

regimes396.0ms

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

sample6.4s

Algorithm

intervals

Results

3.0s	45269×	body	80	nan
1.2s	15287×	body	80	valid

Details

sample219.0ms

simplify58.0ms

prune11.0ms

localize16.0ms

rewrite36.0ms

series383.0ms

simplify64.0ms

prune359.0ms

localize15.0ms

rewrite47.0ms

series592.0ms

simplify119.0ms

prune453.0ms

localize14.0ms

rewrite53.0ms

series585.0ms

simplify88.0ms

prune439.0ms

localize22.0ms

rewrite52.0ms

series916.0ms

simplify54.0ms

prune698.0ms

regimes396.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.4s

Profiling