Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

266×

body

valid

simplify7.0ms

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

prune4.0ms

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: 18.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
6.0b	(/ (* y z) t)
6.1b	(/ (* y b) t)
13.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y z) t)
4.0ms	(/ (* y b) t)
16.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
38.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841

prune187.0ms

Filtered

78 candidates to 118 candidates (-51.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	106	12	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	12	119

Merged error: 12.3b

Counts

119 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
6.0b	(* (* y z) (/ 1 t))
6.1b	(/ (* y b) t)
13.4b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
33×	`add-exp-log`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
15×	`distribute-lft-out`
13×	`associate-r` `prod-exp`
9×	`pow1` `add-log-exp`
8×	`associate-/r*`
7×	`div-exp` `cbrt-unprod`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`frac-add` `associate-/r/` `associate-/l*`
3×	`pow-prod-down` `sum-log` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-r/` `associate-l` `un-div-inv` `-commutative`

Counts

4 → 117

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
7.0ms	(* (* y z) (/ 1 t))
4.0ms	(/ (* y b) t)
11.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(* (* y z) (/ 1 t))
5.0ms	(/ (* y b) t)
38.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	607	997
1	2965	888
2	5002	868

prune161.0ms

Filtered

81 candidates to 129 candidates (-59.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	129	12	141

Merged error: 12.3b

Counts

141 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
6.0b	(/ (* y z) t)
6.1b	(/ (* y b) t)
13.0b	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
184×	`times-frac`
89×	`distribute-lft-out`
86×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`associate-/r*`
27×	`add-exp-log`
21×	`add-cbrt-cube`
12×	`div-exp`
11×	`associate-/r/`
10×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
7×	`flip3-+` `flip-+`
5×	`pow1`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`rec-exp` `1-exp` `frac-add` `prod-exp` `cbrt-unprod`
1×	`pow-flip` `inv-pow`

Counts

4 → 217

Calls

4 calls:

14.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
4.0ms	(/ (* y z) t)
4.0ms	(/ (* y b) t)
12.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
33.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	662	2744
1	3298	2518
2	5001	2379

prune196.0ms

Filtered

100 candidates to 229 candidates (-129.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	228	13	241

Merged error: 12.2b

Counts

241 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

10.4b	(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (/ (* y b) t))) (cbrt (+ (+ a 1.0) (/ (* y b) t)))))
12.0b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
12.0b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
12.0b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
28×	`*-un-lft-identity`
27×	`flip3-+` `flip-+`
26×	`frac-add`
24×	`associate-/r/`
16×	`frac-times`
15×	`cbrt-prod`
11×	`distribute-lft-out`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `times-frac` `associate-r/` `associate-l/` `associate-/l*` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `div-exp` `associate-/l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 100

Calls

4 calls:

22.0ms	(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (/ (* y b) t))) (cbrt (+ (+ a 1.0) (/ (* y b) t)))))
6.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
6.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
6.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

series660.0ms

Counts

4 → 12

Calls

4 calls:

541.0ms	(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (/ (* y b) t))) (cbrt (+ (+ a 1.0) (/ (* y b) t)))))
39.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
38.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
42.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	564	1811
1	1636	1707
2	5002	1681

prune257.0ms

Filtered

89 candidates to 112 candidates (-25.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	111	14	125

Merged error: 11.8b

Counts

125 → 14

regimes890.0ms

Accuracy

-9.1% (6.2b remaining)

Error of 17.6b against oracle of 11.3b and baseline of 17.0b

bsearch87.0ms

Steps

Iters	Range		Point
8	7.768737211550173e+285	2.899379189247173e+288	1.4424782413980692e+287
10	5.345157833279805e-202	5.106184060297908e-191	5.417939858570924e-202
8	2.1216120166162357e-288	6.140954779618075e-286	6.07389619857644e-286

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	48
1	70	48

end0.0ms

sample985.0ms

Algorithm

intervals

Results

446.0ms

8265×

body

valid

Details

sample35.0ms

simplify7.0ms

prune4.0ms

localize12.0ms

rewrite34.0ms

series56.0ms

simplify53.0ms

prune187.0ms

localize13.0ms

rewrite35.0ms

series56.0ms

simplify66.0ms

prune161.0ms

localize16.0ms

rewrite45.0ms

series135.0ms

simplify90.0ms

prune196.0ms

localize19.0ms

rewrite45.0ms

series660.0ms

simplify51.0ms

prune257.0ms

regimes890.0ms

bsearch87.0ms

simplify2.0ms

end0.0ms

sample985.0ms

Profiling