Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

266×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5153	17

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 9.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
13.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 97

Calls

4 calls:

4.0ms	(- (* t z) x)
6.0ms	(- (* y z) x)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series62.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
5.0ms	(- (* y z) x)
34.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify53.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5023	1781

prune141.0ms

Filtered

81 candidates to 109 candidates (-34.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))
3.6b	(/ y (- (* z t) x))
4.3b	(/ x (- (* z t) x))
8.6b	(* z (/ y (- (* z t) x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
15×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/r/` `associate-/l` `add-log-exp`
4×	`flip3--` `flip--`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l*` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `sub-div`

Counts

4 → 106

Calls

4 calls:

15.0ms	(- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))
5.0ms	(/ y (- (* z t) x))
5.0ms	(/ x (- (* z t) x))
9.0ms	(* z (/ y (- (* z t) x)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))
11.0ms	(/ y (- (* z t) x))
12.0ms	(/ x (- (* z t) x))
15.0ms	(* z (/ y (- (* z t) x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5993	1384

prune133.0ms

Filtered

90 candidates to 118 candidates (-31.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (+ x 1.0))
0.3b	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
13.0b	(/ (- (* z t) x) (- (* y z) x))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

4.0ms	(- (* y z) x)
24.0ms	(/ (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (+ x 1.0))
12.0ms	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
10.0ms	(/ (- (* z t) x) (- (* y z) x))

series80.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
37.0ms	(/ (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (+ x 1.0))
20.0ms	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
17.0ms	(/ (- (* z t) x) (- (* y z) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4977	3489
1	4977	3489

prune185.0ms

Filtered

125 candidates to 185 candidates (-48.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	184	6	190

Merged error: 0.0b

Counts

190 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1.0))
0.1b	(* (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (/ 1 (+ x 1.0)))
0.3b	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
13.0b	(/ (- (* z t) x) (- (* y z) x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

116×	`times-frac`
92×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
30×	`add-exp-log`
22×	`associate-/r*`
18×	`associate-r` `add-cbrt-cube`
15×	`associate-/r/`
12×	`div-exp`
9×	`div-inv` `distribute-lft-out` `associate-/l*`
8×	`pow1`
6×	`cbrt-undiv` `flip3--` `flip--`
5×	`associate-l`
4×	`rec-exp` `flip3-+` `1-exp` `prod-exp` `flip-+` `add-log-exp`
3×	`frac-2neg` `clear-num` `unswap-sqr`
2×	`frac-times` `pow-flip` `associate-*l/` `cbrt-unprod` `associate-/l/` `inv-pow`
1×	`div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative`

Counts

4 → 200

Calls

4 calls:

5.0ms	(/ 1 (+ x 1.0))
31.0ms	(* (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (/ 1 (+ x 1.0)))
11.0ms	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
9.0ms	(/ (- (* z t) x) (- (* y z) x))

series79.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (+ x 1.0))
39.0ms	(* (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (/ 1 (+ x 1.0)))
21.0ms	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
17.0ms	(/ (- (* z t) x) (- (* y z) x))

simplify61.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4995	3591
1	4995	3591

prune209.0ms

Filtered

142 candidates to 212 candidates (-49.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	212	6	218

Merged error: 0.0b

Counts

218 → 6

regimes306.0ms

Accuracy

60.3% (2.8b remaining)

Error of 3.7b against oracle of 0.9b and baseline of 7.9b

bsearch44.0ms

Steps

Iters	Range		Point
9	3.116094207453876e+146	2.779010057653071e+155	4.8892299047579485e+153
7	-8.823632657781656e+79	-1.8020903411111974e+78	-5.129696449903089e+79

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	37
1	44	37

end0.0ms

sample786.0ms

Algorithm

intervals

Results

393.0ms

8319×

body

valid

Details

sample28.0ms

simplify42.0ms

prune7.0ms

localize11.0ms

rewrite37.0ms

series62.0ms

simplify53.0ms

prune141.0ms

localize13.0ms

rewrite39.0ms

series60.0ms

simplify53.0ms

prune133.0ms

localize14.0ms

rewrite62.0ms

series80.0ms

simplify62.0ms

prune185.0ms

localize14.0ms

rewrite64.0ms

series79.0ms

simplify61.0ms

prune209.0ms

regimes306.0ms

bsearch44.0ms

simplify2.0ms

end0.0ms

sample786.0ms

Profiling