Details

sample49.0ms

Algorithm

intervals

Results

11.0ms

335×

body

valid

simplify9.2s

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

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (- t z) (/ y a) x)

rewrite1.0ms

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:

1.0ms

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

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

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

simplify3.3s

Counts

14 → 14

Iterations

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

prune354.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- t z) (/ y a)) x)
5.8b	(* (- t z) (/ y a))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

34.0ms	(+ (* (- t z) (/ y a)) x)
73.0ms	(* (- t z) (/ y a))

series218.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(+ (* (- t z) (/ y a)) x)
100.0ms	(* (- t z) (/ y a))

simplify8.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	4815
2	1098
1	327
0	124

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t z))
0.5b	(cbrt (- t z))
2.6b	(* (cbrt (- t z)) (/ y a))
3.3b	(* (* (cbrt (- t z)) (cbrt (- t z))) (* (cbrt (- t z)) (/ y a)))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`prod-exp` `add-cube-cbrt` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

12.0ms	(cbrt (- t z))
12.0ms	(cbrt (- t z))
55.0ms	(* (cbrt (- t z)) (/ y a))
215.0ms	(* (* (cbrt (- t z)) (cbrt (- t z))) (* (cbrt (- t z)) (/ y a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt (- t z))
317.0ms	(cbrt (- t z))
458.0ms	(* (cbrt (- t z)) (/ y a))
106.0ms	(* (* (cbrt (- t z)) (cbrt (- t z))) (* (cbrt (- t z)) (/ y a)))

simplify5.1s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	2290
1	862
0	286

prune2.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
3.8b	(* (* (cbrt y) (* (cbrt y) (- t z))) (/ (cbrt y) a))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-prod` `times-frac`
16×	`add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
9×	`associate-*r/`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 96

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
212.0ms	(* (* (cbrt y) (* (cbrt y) (- t z))) (/ (cbrt y) a))

series1.1s

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt y)
322.0ms	(cbrt y)
278.0ms	(cbrt y)
169.0ms	(* (* (cbrt y) (* (cbrt y) (- t z))) (/ (cbrt y) a))

simplify3.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1783
1	465
0	153

prune1.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes2.9s

Accuracy

47.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.6b

bsearch94.0ms

Steps

Iters	Range		Point
5	1.6092474117272988e-114	6.40551636908869e-114	6.3044904655620086e-114
9	-1.442136557290824e+79	-4.217802647696024e+72	-4.2928675080966004e+72

simplify8.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

988.0ms

10593×

body

valid