Details

sample193.0ms

Algorithm

intervals

Results

121.0ms

647×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
5	2500
4	907
3	333
2	110
1	47
0	23

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize88.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
3.7b	(* x (- (* y z) (* t a)))
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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--` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 104

Calls

4 calls:

17.0ms	(- (* y z) (* t a))
47.0ms	(* x (- (* y z) (* t a)))
55.0ms	(* j (- (* c t) (* i y)))
47.0ms	(* b (- (* c z) (* i a)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* y z) (* t a))
100.0ms	(* x (- (* y z) (* t a)))
91.0ms	(* j (- (* c t) (* i y)))
97.0ms	(* b (- (* c z) (* i a)))

simplify1.7s

Counts

116 → 116

Iterations

Iter	Nodes
3	4645
2	1389
1	490
0	203

prune1.0s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.6b

localize56.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* y z) x)
4.4b	(* (- (* t a)) x)
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `prod-diff` `associate-r/` `-commutative` `insert-posit16` `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 → 104

Calls

4 calls:

25.0ms	(* (* y z) x)
19.0ms	(* (- (* t a)) x)
45.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* b (- (* c z) (* i a)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* y z) x)
43.0ms	(* (- (* t a)) x)
134.0ms	(* j (- (* c t) (* i y)))
157.0ms	(* b (- (* c z) (* i a)))

simplify2.8s

Counts

116 → 116

Iterations

Iter	Nodes
3	5979
2	1584
1	508
0	204

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.8b

localize115.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (- (* t a)) x)
4.6b	(* j (- (* t c) (* y i)))
6.4b	(* b (- (* c z) (* i a)))
50.5b	(fma (- y) i (* y i))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `prod-diff` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `fma-udef`

Counts

4 → 94

Calls

4 calls:

10.0ms	(* (- (* t a)) x)
41.0ms	(* j (- (* t c) (* y i)))
25.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- y) i (* y i))

series347.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- (* t a)) x)
133.0ms	(* j (- (* t c) (* y i)))
116.0ms	(* b (- (* c z) (* i a)))
42.0ms	(fma (- y) i (* y i))

simplify2.0s

Counts

106 → 106

Iterations

Iter	Nodes
3	4758
2	1246
1	429
0	184

prune1.2s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 5.8b

localize85.0ms

Local error

Found 4 expressions with local error:

6.4b	(* b (- (* c z) (* i a)))
14.6b	(cbrt (* (* y z) x))
14.6b	(cbrt (* (* y z) x))
14.6b	(cbrt (* (* y z) x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `prod-diff` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

37.0ms	(* b (- (* c z) (* i a)))
11.0ms	(cbrt (* (* y z) x))
11.0ms	(cbrt (* (* y z) x))
11.0ms	(cbrt (* (* y z) x))

series514.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* b (- (* c z) (* i a)))
156.0ms	(cbrt (* (* y z) x))
131.0ms	(cbrt (* (* y z) x))
140.0ms	(cbrt (* (* y z) x))

simplify649.0ms

Counts

77 → 77

Iterations

Iter	Nodes
3	2145
2	678
1	267
0	117

prune857.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 5.8b

regimes2.8s

Accuracy

-10% (5.9b remaining)

Error of 11.6b against oracle of 5.7b and baseline of 11.1b

bsearch444.0ms

Steps

Iters	Range		Point
8	3.607155687753861e-252	4.702129530191612e-249	2.0712726126325024e-249
7	-2.6282564152310577e-129	-6.003448556474239e-131	-6.486872471409811e-131

simplify28.0ms

Iterations

Iter	Nodes
4	77
3	77
2	76
1	70
0	47

end0.0ms

sample6.8s

Algorithm

intervals

Results

5.5s

18944×

body

valid