Details

analyze2.0s

Algorithm: search

sample94.0ms

Algorithm

intervals

Results

36.0ms	392×	body	80	invalid
20.0ms	256×	body	80	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune6.0ms

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: 14.2b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
5.2b	(* x (- (* y z) (* t a)))
5.9b	(* j (- (* c t) (* i y)))
6.1b	(* b (- (* c z) (* i a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* c z) (* i a))
5.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* c z) (* i a))
32.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* b (- (* c z) (* i a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune275.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Merged error: 10.7b

Counts

97 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (* y z) (* t a)))
5.4b	(* b (* c z))
5.7b	(* b (neg (* i a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* x (- (* y z) (* t a)))
4.0ms	(* b (* c z))
4.0ms	(* b (neg (* i a)))
5.0ms	(* j (- (* c t) (* i y)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))
6.0ms	(* b (neg (* i a)))
17.0ms	(* j (- (* c t) (* i y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	445	484
1	2066	419
2	5002	419

prune211.0ms

Filtered

67 candidates to 100 candidates (-49.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	102	18	120

Merged error: 7.1b

Counts

120 → 18

localize22.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (* y z) (* t a)))
5.4b	(* b (* c z))
5.9b	(* j (- (* c t) (* i y)))
6.2b	(* a (* i b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))
5.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* a (* i b))

series49.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))
18.0ms	(* j (- (* c t) (* i y)))
8.0ms	(* a (* i b))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	439	454
1	1796	384
2	5002	384

prune208.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	95	19	114

Merged error: 6.5b

Counts

114 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (* y z) (* t a)))
5.9b	(* j (- (* c t) (* i y)))
6.2b	(* a (* i b))
6.5b	(* (* b c) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* j (- (* c t) (* i y)))
4.0ms	(* a (* i b))
5.0ms	(* (* b c) z)

series50.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* a (* i b))
5.0ms	(* (* b c) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	445	455
1	1920	385
2	5002	385

prune84.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	96	19	115

Merged error: 6.0b

Counts

115 → 19

regimes2.0s

Accuracy

40.4% (4.3b remaining)

Error of 9.9b against oracle of 5.7b and baseline of 12.8b

bsearch8.4s

Steps

Iters	Range		Point
8	1.9012833952695623e+159	3.988854512673635e+163	1.950378619884863e+159
7	-8.519389007761266e-14	-2.1139135560147905e-15	-7.930002776141776e-14

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	77
1	82	77
2	82	77

end0.0ms

analyze1.9s

Algorithm: search

sample2.5s

Algorithm

intervals

Results

924.0ms	11057×	body	80	invalid
655.0ms	8000×	body	80	valid

Details

analyze2.0s

sample94.0ms

simplify79.0ms

prune6.0ms

localize19.0ms

rewrite21.0ms

series83.0ms

simplify48.0ms

prune275.0ms

localize24.0ms

rewrite21.0ms

series45.0ms

simplify59.0ms

prune211.0ms

localize22.0ms

rewrite23.0ms

series49.0ms

simplify50.0ms

prune208.0ms

localize24.0ms

rewrite22.0ms

series50.0ms

simplify52.0ms

prune84.0ms

regimes2.0s

bsearch8.4s

simplify3.0ms

end0.0ms

analyze1.9s

sample2.5s

Profiling