Details

sample138.0ms

Algorithm

intervals

Results

72.0ms

642×

body

valid

simplify9.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	23	29
1	115	29
2	2061	28
done	5000	28

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* x (- (* y z) (* t a)))
4.3b	(fma j (- (* c t) (* i y)) (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.0b	(* b (- (* c z) (* i a)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

10.0ms	(- (* y z) (* t a))
43.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma j (- (* c t) (* i y)) (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
29.0ms	(* b (- (* c z) (* i a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* y z) (* t a))
119.0ms	(* x (- (* y z) (* t a)))
937.0ms	(fma j (- (* c t) (* i y)) (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
106.0ms	(* b (- (* c z) (* i a)))

simplify2.1s

Counts

94 → 94

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	157	1364
1	1042	1337
done	5000	1178

prune719.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.8b

localize31.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.2b	(* z (* b c))
4.3b	(fma j (- (* c t) (* i y)) (- (* x (- (* y z) (* t a))) (+ (* z (* b c)) (* (- (* i a)) b))))
4.7b	(* (- (* i a)) b)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

31.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* z (* b c))
0.0ms	(fma j (- (* c t) (* i y)) (- (* x (- (* y z) (* t a))) (+ (* z (* b c)) (* (- (* i a)) b))))
25.0ms	(* (- (* i a)) b)

series1.1s

Counts

4 → 12

Calls

4 calls:

118.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* z (* b c))
890.0ms	(fma j (- (* c t) (* i y)) (- (* x (- (* y z) (* t a))) (+ (* z (* b c)) (* (- (* i a)) b))))
40.0ms	(* (- (* i a)) b)

simplify1.9s

Counts

94 → 94

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	158	1184
1	1031	1153
done	5001	992

prune789.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.1b

localize43.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.2b	(* z (* b c))
4.7b	(* (- (* i a)) b)
5.1b	(* j (- (* c t) (* i y)))

rewrite132.0ms

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:

45.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* z (* b c))
12.0ms	(* (- (* i a)) b)
41.0ms	(* j (- (* c t) (* i y)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* x (- (* y z) (* t a)))
64.0ms	(* z (* b c))
41.0ms	(* (- (* i a)) b)
119.0ms	(* j (- (* c t) (* i y)))

simplify2.3s

Counts

112 → 112

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	199	1141
1	1346	1119
done	5000	987

prune837.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.5b

localize58.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (- (* i a)) b)
5.7b	(cbrt (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-r` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

11.0ms	(* (- (* i a)) b)
6.0ms	(cbrt (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c t) (* i y)))
10.0ms	(cbrt (- (* c t) (* i y)))

series736.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- (* i a)) b)
204.0ms	(cbrt (- (* c t) (* i y)))
239.0ms	(cbrt (- (* c t) (* i y)))
233.0ms	(cbrt (- (* c t) (* i y)))

simplify1.7s

Counts

81 → 81

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	113	1049
1	673	998
done	5000	921

prune698.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 1.5b

regimes2.0s

Accuracy

18.4% (8.7b remaining)

Error of 10.7b against oracle of 2.0b and baseline of 12.6b

bsearch393.0ms

Steps

Iters	Range		Point
7	3.4208028608535885e-22	2.848507851186406e-20	1.87050515830947e-21
9	-2.284697468738821e-47	-8.732474839423672e-55	-1.523975838926437e-47

simplify27.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	106
1	86	106
2	102	106
3	106	106
done	106	106

end0.0ms

sample6.8s

Algorithm

intervals

Results

4.6s

19018×

body

valid