Details

sample82.0ms

Algorithm

intervals

Results

31.0ms

333×

body

valid

simplify10.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4759
20	4527
19	4276
18	4020
17	3762
16	3533
15	3282
14	3028
13	2778
12	2557
11	2272
10	1923
9	1530
8	1074
7	692
6	384
5	226
4	139
3	65
2	30
1	16
0	9

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 1 expressions with local error:

1.7b	(fma (- t z) (/ y a) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

3.0ms

(fma (- t z) (/ y a) x)

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

(fma (- t z) (/ y a) x)

simplify3.6s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
4	1403
3	255
2	86
1	42
0	25

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- t z) (/ y a) x))
1.7b	(fma (- t z) (/ y a) x)
1.7b	(fma (- t z) (/ y a) x)
1.7b	(fma (- t z) (/ y a) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

5.0ms	(cbrt (fma (- t z) (/ y a) x))
2.0ms	(fma (- t z) (/ y a) x)
2.0ms	(fma (- t z) (/ y a) x)
3.0ms	(fma (- t z) (/ y a) x)

series784.0ms

Counts

4 → 12

Calls

4 calls:

495.0ms	(cbrt (fma (- t z) (/ y a) x))
102.0ms	(fma (- t z) (/ y a) x)
89.0ms	(fma (- t z) (/ y a) x)
97.0ms	(fma (- t z) (/ y a) x)

simplify7.2s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
4	4523
3	972
2	276
1	120
0	63

prune980.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.5b	(/ (* y (- z t)) a)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `prod-diff`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/` `div-inv`
3×	`expm1-log1p-u` `associate-/r` `sub-neg` `flip3--` `fma-neg` `associate-l*` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 114

Calls

3 calls:

22.0ms	(- x (/ (* y (- z t)) a))
81.0ms	(* y (- z t))
64.0ms	(/ (* y (- z t)) a)

series294.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(- x (/ (* y (- z t)) a))
70.0ms	(* y (- z t))
98.0ms	(/ (* y (- z t)) a)

simplify4.2s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1416
1	558
0	227

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
6.0b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 116

Calls

4 calls:

3.0ms	(cbrt a)
3.0ms	(cbrt a)
3.0ms	(cbrt a)
146.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt a)
301.0ms	(cbrt a)
295.0ms	(cbrt a)
182.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify4.3s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2139
1	514
0	167

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes2.8s

Accuracy

45% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.5b

bsearch211.0ms

Steps

Iters	Range		Point
8	2.035337811169731e-251	2.8194852871282345e-248	2.4923022658980086e-248
10	-0.21096739287213784	-4.276678962327964e-11	-2.380817727469377e-06

simplify31.0ms

Iterations

Iter	Nodes
done	22
1	22
0	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

845.0ms

10662×

body

valid