Details

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 33.203125%

Results

15.0ms

265×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

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: 15.0b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.9b	(/ (* y z) t)
5.1b	(/ (* y b) t)
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite27.0ms

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 z) t)
4.0ms	(/ (* y b) t)
12.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ x (/ (* y z) t))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
39.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (12.0ms)

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

prune186.0ms

Filtered

73 candidates to 113 candidates (-54.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	102	11	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	11	114

Merged error: 11.0b

Counts

114 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
4.0b	(/ y (/ t z))
5.1b	(/ (* y b) t)
11.9b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

12.0ms	(+ x (/ y (/ t z)))
6.0ms	(/ y (/ t z))
4.0ms	(/ (* y b) t)
21.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ x (/ y (/ t z)))
5.0ms	(/ y (/ t z))
5.0ms	(/ (* y b) t)
62.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	661	1208
1	2720	1142
2	5002	1141

prune191.0ms

Filtered

113 candidates to 162 candidates (-43.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	161	12	173

Merged error: 10.6b

Counts

173 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
4.0b	(/ y (/ t z))
5.1b	(/ (* y b) t)
11.5b	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
106×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-r`
22×	`distribute-lft-out`
21×	`associate-/r*` `add-cbrt-cube`
9×	`div-exp` `associate-/r/`
8×	`div-inv`
7×	`pow1` `cbrt-undiv` `associate-/l*`
6×	`flip3-+` `flip-+`
5×	`prod-exp`
4×	`associate-l` `frac-add` `add-log-exp`
3×	`frac-2neg` `clear-num` `cbrt-unprod` `unswap-sqr`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 185

Calls

4 calls:

8.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
5.0ms	(/ y (/ t z))
4.0ms	(/ (* y b) t)
24.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
5.0ms	(/ y (/ t z))
5.0ms	(/ (* y b) t)
58.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify80.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	781	1452
1	3592	1323
2	5001	1281

prune211.0ms

Filtered

126 candidates to 197 candidates (-56.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	198	11	209

Merged error: 10.6b

Counts

209 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ y t) z))
4.6b	(* (/ y t) z)
5.1b	(/ (* y b) t)
11.9b	(/ (+ x (* (/ y t) z)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite26.0ms

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-l`
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-r` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `associate-l/` `sum-log` `-commutative`

Counts

4 → 105

Calls

4 calls:

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

series84.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ x (* (/ y t) z))
5.0ms	(* (/ y t) z)
5.0ms	(/ (* y b) t)
63.0ms	(/ (+ x (* (/ y t) z)) (+ (+ a 1.0) (/ (* y b) t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	492	813
1	2016	751
2	5001	751

prune99.0ms

Filtered

78 candidates to 117 candidates (-50.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	117	11	128

Merged error: 10.6b

Counts

128 → 11

regimes938.0ms

Accuracy

57.2% (2.7b remaining)

Error of 13.1b against oracle of 10.4b and baseline of 16.7b

bsearch46.0ms

Steps

Iters	Range		Point
4	0.12886493352834763	0.21485640109594112	0.13692663361280952
10	-5.442076669826686e-31	-5.534709124101284e-42	-5.371874278304308e-31

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	18
1	44	18

end0.0ms

sample3.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 33.203125%

Results

492.0ms

8275×

body

valid

Details

sample3.0s

simplify8.0ms

prune5.0ms

localize17.0ms

rewrite27.0ms

series60.0ms

simplify51.0ms

prune186.0ms

localize12.0ms

rewrite48.0ms

series82.0ms

simplify67.0ms

prune191.0ms

localize13.0ms

rewrite50.0ms

series83.0ms

simplify80.0ms

prune211.0ms

localize12.0ms

rewrite26.0ms

series84.0ms

simplify55.0ms

prune99.0ms

regimes938.0ms

bsearch46.0ms

simplify2.0ms

end0.0ms

sample3.6s

Profiling