Details

sample158.0ms

Algorithm

intervals

Results

93.0ms

642×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (327.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	909	27
5	2811	27
done	5000	27

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.4b	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
3.9b	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
5.1b	(* j (- (* c t) (* i y)))

rewrite47.0ms

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:

9.0ms	(- (* y z) (* t a))
0.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
0.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
37.0ms	(* j (- (* c t) (* i y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* y z) (* t a))
316.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
717.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
91.0ms	(* j (- (* c t) (* i y)))

simplify1.9s

Counts

76 → 76

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	137	1239
1	317	1223
2	891	1071
3	3119	1071
done	5001	1056

prune532.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite98.0ms

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:

9.0ms	(- (* y z) (* t a))
28.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* j (- (* c t) (* i y)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* y z) (* t a))
79.0ms	(* x (- (* y z) (* t a)))
82.0ms	(* b (- (* c z) (* i a)))
88.0ms	(* j (- (* c t) (* i y)))

simplify2.5s

Counts

112 → 112

Iterations

Useful iterations: 2 (215.0ms)

Iter	Nodes	Cost
0	199	1357
1	476	1338
2	1364	1195
3	4982	1195
done	5000	1195

prune647.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.4b

localize54.0ms

Local error

Found 4 expressions with local error:

5.1b	(* j (- (* c t) (* i y)))
7.0b	(cbrt (- (* c z) (* i a)))
7.0b	(cbrt (- (* c z) (* i a)))
7.0b	(cbrt (- (* c z) (* i a)))

rewrite74.0ms

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

Counts

4 → 73

Calls

4 calls:

45.0ms	(* j (- (* c t) (* i y)))
9.0ms	(cbrt (- (* c z) (* i a)))
9.0ms	(cbrt (- (* c z) (* i a)))
9.0ms	(cbrt (- (* c z) (* i a)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* j (- (* c t) (* i y)))
178.0ms	(cbrt (- (* c z) (* i a)))
134.0ms	(cbrt (- (* c z) (* i a)))
157.0ms	(cbrt (- (* c z) (* i a)))

simplify2.4s

Counts

85 → 85

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	135	1225
1	338	1183
2	957	1089
3	3131	1065
done	5001	1013

prune645.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 2.4b

localize31.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
2.6b	(* (cbrt b) (- (* c z) (* i a)))
4.1b	(* x (- (* y z) (* t a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
21×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*` `prod-diff`
4×	`cbrt-prod` `expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

94.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
32.0ms	(* (cbrt b) (- (* c z) (* i a)))
31.0ms	(* x (- (* y z) (* t a)))
53.0ms	(* j (- (* c t) (* i y)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
350.0ms	(* (cbrt b) (- (* c z) (* i a)))
76.0ms	(* x (- (* y z) (* t a)))
79.0ms	(* j (- (* c t) (* i y)))

simplify1.5s

Counts

138 → 138

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	250	2179
1	654	2149
2	2274	1708
done	5000	1550

prune651.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.0b

regimes1.5s

Accuracy

32% (6.8b remaining)

Error of 9.4b against oracle of 2.6b and baseline of 12.6b

bsearch326.0ms

Steps

Iters	Range		Point
8	1.0714097499459924e+78	1.2472879868854915e+81	1.089788679757969e+78
7	-1.7747398829225025e-44	-1.980906910978157e-46	-1.7464852263261916e-44

simplify37.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	104
1	87	104
2	110	104
done	110	104

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.4s

19018×

body

valid