Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

329×

body

valid

simplify11.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	48	8
4	95	8
5	137	8
6	178	8
7	218	8
8	267	8
9	372	8
10	467	8
11	526	8
12	585	8
13	630	8
14	668	8
15	797	8
16	935	8
17	1249	8
18	1736	8
19	2348	8
20	2517	8
21	2524	8
done	2524	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

3.1b	(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify963.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	93	138
3	266	123
4	1166	123
done	5000	123

prune67.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- z x) (/ y t)) x)
6.7b	(* (- z x) (/ y t))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

31.0ms	(+ (* (- z x) (/ y t)) x)
63.0ms	(* (- z x) (/ y t))

series133.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* (- z x) (/ y t)) x)
68.0ms	(* (- z x) (/ y t))

simplify3.2s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	119	705
1	302	653
2	1099	609
3	4485	576
done	5000	576

prune205.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
2.4b	(* (cbrt (- z x)) (/ y t))
4.5b	(* (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt (- z x)) (/ y t)))

rewrite202.0ms

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×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `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 → 160

Calls

4 calls:

8.0ms	(cbrt (- z x))
7.0ms	(cbrt (- z x))
50.0ms	(* (cbrt (- z x)) (/ y t))
120.0ms	(* (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt (- z x)) (/ y t)))

series702.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (- z x))
204.0ms	(cbrt (- z x))
252.0ms	(* (cbrt (- z x)) (/ y t))
59.0ms	(* (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt (- z x)) (/ y t)))

simplify2.5s

Counts

172 → 172

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	282	3876
1	783	3675
2	2054	3261
done	5000	3021

prune680.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.5b	(* (* (cbrt (- z x)) (cbrt (- z x))) (* (* (* (cbrt y) (cbrt y)) (cbrt (- z x))) (/ (cbrt y) t)))

rewrite567.0ms

Algorithm

rewrite-expression-head

Rules

108×	`cbrt-div`
82×	`frac-times`
69×	`add-exp-log`
62×	`associate-*r/`
54×	`flip3--` `flip--`
45×	`prod-exp` `cbrt-unprod`
38×	`associate-*l/`
36×	`pow1`
33×	`add-cbrt-cube`
24×	`pow-prod-down`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
543.0ms	(* (* (cbrt (- z x)) (cbrt (- z x))) (* (* (* (cbrt y) (cbrt y)) (cbrt (- z x))) (/ (cbrt y) t)))

series944.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt y)
260.0ms	(cbrt y)
272.0ms	(cbrt y)
119.0ms	(* (* (cbrt (- z x)) (cbrt (- z x))) (* (* (* (cbrt y) (cbrt y)) (cbrt (- z x))) (/ (cbrt y) t)))

simplify2.0s

Counts

152 → 152

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	234	4490
1	716	4259
2	2771	3203
done	5000	2787

prune520.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes268.0ms

Accuracy

13.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.9b

bsearch106.0ms

Steps

Iters	Range		Point
5	4.277167623369129e+83	1.6558114091021875e+84	6.204649366460223e+83
9	-4.78890317541953e+62	-3.507721719457018e+53	-1.5871220803233903e+58

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	55
1	38	53
done	38	53

end0.0ms

sample1.3s

Algorithm

intervals

Results

595.0ms

10718×

body

valid