Details

sample154.0ms

Algorithm

intervals

Results

78.0ms

641×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (261.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	1230	27
done	5000	27

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c z) (* i a))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

11.0ms	(- (* c z) (* i a))
32.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* b (- (* c z) (* i a)))
41.0ms	(* j (- (* c t) (* i y)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* c z) (* i a))
117.0ms	(* x (- (* y z) (* t a)))
109.0ms	(* b (- (* c z) (* i a)))
97.0ms	(* j (- (* c t) (* i y)))

simplify1.1s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	200	1357
1	531	1338
2	2278	1213
done	5000	1195

prune736.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 6.2b

localize43.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* i y)))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.7b	(* t (* j c))

rewrite155.0ms

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×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `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 → 100

Calls

4 calls:

24.0ms	(* j (- (* i y)))
50.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* b (- (* c z) (* i a)))
32.0ms	(* t (* j c))

series317.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* j (- (* i y)))
103.0ms	(* x (- (* y z) (* t a)))
110.0ms	(* b (- (* c z) (* i a)))
53.0ms	(* t (* j c))

simplify1.1s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	200	1139
1	525	1121
2	2329	996
done	5001	986

prune675.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 4.7b

localize35.0ms

Local error

Found 4 expressions with local error:

4.5b	(* i (* y j))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.7b	(* t (* j c))

rewrite137.0ms

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`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

26.0ms	(* i (* y j))
35.0ms	(* x (- (* y z) (* t a)))
45.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* t (* j c))

series290.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* i (* y j))
109.0ms	(* x (- (* y z) (* t a)))
99.0ms	(* b (- (* c z) (* i a)))
40.0ms	(* t (* j c))

simplify1.1s

Counts

108 → 108

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	196	1094
1	508	1082
2	2201	942
done	5000	936

prune618.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 4.2b

localize53.0ms

Local error

Found 4 expressions with local error:

4.5b	(* i (* y j))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* (* t j) c)
5.0b	(* b (- (* c z) (* i a)))

rewrite187.0ms

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`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

31.0ms	(* i (* y j))
57.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* (* t j) c)
56.0ms	(* b (- (* c z) (* i a)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* i (* y j))
129.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* (* t j) c)
105.0ms	(* b (- (* c z) (* i a)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	199	1097
1	527	1083
2	2630	945
done	5000	937

prune713.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.2b

regimes2.4s

Accuracy

7.9% (6.8b remaining)

Error of 11.3b against oracle of 4.5b and baseline of 11.9b

bsearch1.4s

Steps

Iters	Range		Point
10	8.123097071172106e+239	1.5475393908510346e+251	4.731713770906781e+243
5	1.9451476633343287e+222	7.0164258564424e+222	2.6625341415591604e+222
9	6.034230727487269e+142	4.827898324151257e+148	3.281737004707663e+145
8	-5.516324529765674e-98	-3.0807165600738547e-102	-1.911661663231193e-99

simplify26.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	70	201
1	111	200
2	130	200
3	131	200
done	131	200

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.9s

19156×

body

valid