Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

335×

body

valid

simplify4.5s

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify1.8s

Counts

14 → 14

Iterations

Iter	Nodes
done	5003
4	1424
3	255
2	86
1	42
0	25

prune83.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

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:

24.0ms	(+ (* (- t z) (/ y a)) x)
54.0ms	(* (- t z) (/ y a))

series129.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* (- t z) (/ y a)) x)
58.0ms	(* (- t z) (/ y a))

simplify2.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	4769
2	1090
1	327
0	124

prune350.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite205.0ms

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:

7.0ms	(cbrt (- t z))
4.0ms	(cbrt (- t z))
28.0ms	(* (cbrt (- t z)) (/ y a))
154.0ms	(* (* (cbrt (- t z)) (cbrt (- t z))) (* (cbrt (- t z)) (/ y a)))

series810.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (- t z))
239.0ms	(cbrt (- t z))
280.0ms	(* (cbrt (- t z)) (/ y a))
79.0ms	(* (* (cbrt (- t z)) (cbrt (- t z))) (* (cbrt (- t z)) (/ y a)))

simplify2.4s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	2247
1	860
0	286

prune965.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

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`
10×	`associate-*l/`
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--` `flip--`
1×	`associate-l` `associate-r/` `-commutative` `div-inv`

Counts

4 → 96

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
158.0ms	(* (* (* (- t z) (cbrt y)) (cbrt y)) (/ (cbrt y) a))

series973.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt y)
259.0ms	(cbrt y)
306.0ms	(cbrt y)
109.0ms	(* (* (* (- t z) (cbrt y)) (cbrt y)) (/ (cbrt y) a))

simplify1.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1770
1	463
0	153

prune609.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes899.0ms

Accuracy

62.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch137.0ms

Steps

Iters	Range		Point
10	3.2725380053770776e-31	1.0369307536472172e-13	6.010433227479534e-14
9	-1.442136557290824e+79	-4.217802647696024e+72	-4.2928675080966004e+72

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.1s

Algorithm

intervals

Results

679.0ms

10593×

body

valid