Details

sample37.0ms

Algorithm

intervals

Results

13.0ms

265×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune6.0ms

Filtered

1 candidates to 0 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: 14.9b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.2b	(/ (* y b) t)
4.2b	(/ (* y z) t)
11.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

4.0ms	(+ x (/ (* y z) t))
4.0ms	(/ (* y b) t)
4.0ms	(/ (* y z) t)
16.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ x (/ (* y z) t))
4.0ms	(/ (* y b) t)
5.0ms	(/ (* y z) t)
37.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	454	843
1	1942	782
2	5001	782

prune486.0ms

Filtered

113 candidates to 73 candidates (35.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	103	10	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	10	114

Merged error: 10.5b

Counts

114 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.2b	(/ (* y b) t)
4.4b	(* y (/ z t))
11.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
8×	`associate-/r*`
6×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 105

Calls

4 calls:

2.0ms	(+ x (* y (/ z t)))
4.0ms	(/ (* y b) t)
6.0ms	(* y (/ z t))
11.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ x (* y (/ z t)))
5.0ms	(/ (* y b) t)
7.0ms	(* y (/ z t))
37.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	517	820
1	2231	759
2	5002	759

prune521.0ms

Filtered

117 candidates to 78 candidates (33.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	117	10	127

Merged error: 10.3b

Counts

127 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
2.2b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.4b	(* y (/ z t))
11.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
47×	`times-frac`
43×	`add-cube-cbrt` `*-un-lft-identity`
41×	`associate-r`
34×	`add-exp-log`
27×	`cbrt-prod`
25×	`add-cbrt-cube`
16×	`associate-l`
15×	`pow1`
12×	`unswap-sqr`
11×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r/`
6×	`pow1/3` `swap-sqr` `frac-add`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
3×	`frac-times` `associate-l/` `associate-/r` `-commutative` `associate-/l`
2×	`pow-sqr` `pow-prod-up` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num`

Counts

4 → 168

Calls

4 calls:

5.0ms	(* (cbrt t) (cbrt t))
14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
6.0ms	(* y (/ z t))
9.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series86.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt t) (cbrt t))
10.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0ms	(* y (/ z t))
47.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify137.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	903	1685
1	4817	1530
2	5001	1516

prune1.9s

Filtered

180 candidates to 134 candidates (25.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	180	10	190

Merged error: 10.3b

Counts

190 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.2b	(/ y (/ t b))
4.4b	(* y (/ z t))
11.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
84×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
7×	`div-inv`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `associate-/r/`
4×	`flip3-+` `flip-+`
3×	`associate-l`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 154

Calls

4 calls:

2.0ms	(+ x (* y (/ z t)))
5.0ms	(/ y (/ t b))
6.0ms	(* y (/ z t))
19.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ x (* y (/ z t)))
5.0ms	(/ y (/ t b))
5.0ms	(* y (/ z t))
40.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify72.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	726	1187
1	3139	1121
2	5001	1120

prune1.4s

Filtered

166 candidates to 123 candidates (25.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	165	11	176

Merged error: 9.2b

Counts

176 → 11

regimes866.0ms

Accuracy

45.9% (3.3b remaining)

Error of 13.1b against oracle of 9.8b and baseline of 15.8b

bsearch160.0ms

Steps

Iters	Range		Point
10	1.1824163069009647e-64	1.4938738122418093e-49	1.053706154994501e-49
9	-1.1050894718345946e+70	-3.441037044984454e+64	-3.488073252008228e+64

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	17
1	43	17

end0.0ms

sample961.0ms

Algorithm

intervals

Results

422.0ms

8298×

body

valid

Details

sample37.0ms

simplify8.0ms

prune6.0ms

localize12.0ms

rewrite31.0ms

series54.0ms

simplify53.0ms

prune486.0ms

localize12.0ms

rewrite27.0ms

series57.0ms

simplify57.0ms

prune521.0ms

localize19.0ms

rewrite40.0ms

series86.0ms

simplify137.0ms

prune1.9s

localize12.0ms

rewrite39.0ms

series58.0ms

simplify72.0ms

prune1.4s

regimes866.0ms

bsearch160.0ms

simplify2.0ms

end0.0ms

sample961.0ms

Profiling