Details

sample135.0ms

Algorithm

intervals

Results

66.0ms

611×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (280.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
4.9b	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
5.1b	(* j (- (* c t) (* i y)))
5.1b	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

15.0ms	(- (* c t) (* i y))
1.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
49.0ms	(* j (- (* c t) (* i y)))
0.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* c t) (* i y))
830.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
81.0ms	(* j (- (* c t) (* i y)))
268.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))

simplify2.6s

Counts

76 → 76

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	119	1239
1	282	1222
2	967	1077
3	4453	1071
done	5000	1071

prune517.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
5.1b	(* j (- (* c t) (* i y)))
5.6b	(* x (- (* y z) (* t a)))
5.7b	(* b (- (* c z) (* i a)))

rewrite171.0ms

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:

16.0ms	(- (* c t) (* i y))
46.0ms	(* j (- (* c t) (* i y)))
58.0ms	(* x (- (* y z) (* t a)))
47.0ms	(* b (- (* c z) (* i a)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* c t) (* i y))
122.0ms	(* j (- (* c t) (* i y)))
115.0ms	(* x (- (* y z) (* t a)))
118.0ms	(* b (- (* c z) (* i a)))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	200	1357
1	533	1338
2	2396	1211
done	5001	1195

prune703.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.8b

localize49.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (- (* t a)) x)
5.1b	(* j (- (* c t) (* i y)))
5.6b	(* (* y z) x)
5.7b	(* b (- (* c z) (* i a)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-l`
12×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 100

Calls

4 calls:

12.0ms	(* (- (* t a)) x)
34.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* (* y z) x)
43.0ms	(* b (- (* c z) (* i a)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- (* t a)) x)
82.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* (* y z) x)
86.0ms	(* b (- (* c z) (* i a)))

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	200	1144
1	536	1126
2	2732	1006
done	5000	996

prune727.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.1b

localize39.0ms

Local error

Found 4 expressions with local error:

3.0b	(* y (* z x))
4.0b	(* (- (* t a)) x)
5.1b	(* j (- (* c t) (* i y)))
5.7b	(* b (- (* c z) (* i a)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 100

Calls

4 calls:

20.0ms	(* y (* z x))
13.0ms	(* (- (* t a)) x)
39.0ms	(* j (- (* c t) (* i y)))
58.0ms	(* b (- (* c z) (* i a)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* y (* z x))
53.0ms	(* (- (* t a)) x)
109.0ms	(* j (- (* c t) (* i y)))
81.0ms	(* b (- (* c z) (* i a)))

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	201	1141
1	528	1125
2	2453	1001
done	5000	987

prune589.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.8b

regimes1.4s

Accuracy

26.3% (9.0b remaining)

Error of 9.7b against oracle of 0.6b and baseline of 12.9b

bsearch207.0ms

Steps

Iters	Range		Point
0	63261244.42099445	65284244.77701338	64272744.59900391
8	-1.4904939771279178e-19	-2.6739275219002653e-23	-2.9610556193444206e-21

simplify25.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	55	112
1	101	110
2	128	110
3	133	110
done	133	110

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.2s

18848×

body

valid