Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

276×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2492
8	1293
7	674
6	329
5	179
4	106
3	63
2	35
1	17
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

3.2b	(fma (- y z) (/ t (- a z)) 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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series99.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify1.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	1317
3	268
2	86
1	39
0	23

prune119.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- y z) (/ t (- a z))) x)
12.2b	(* (- y z) (/ t (- a z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

19.0ms	(+ (* (- y z) (/ t (- a z))) x)
39.0ms	(* (- y z) (/ t (- a z)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(+ (* (- y z) (/ t (- a z))) x)
77.0ms	(* (- y z) (/ t (- a z)))

simplify1.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1845
1	365
0	137

prune453.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
15.3b	(cbrt (/ t (- a z)))
15.3b	(cbrt (/ t (- a z)))
15.3b	(cbrt (/ t (- a z)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
53×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
45×	`times-frac`
32×	`add-cube-cbrt`
15×	`cbrt-div`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`frac-times` `pow1` `add-exp-log`
7×	`flip3--` `add-cbrt-cube` `flip--`
6×	`associate-*r/` `associate-/r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

77.0ms	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
5.0ms	(cbrt (/ t (- a z)))
5.0ms	(cbrt (/ t (- a z)))
5.0ms	(cbrt (/ t (- a z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
271.0ms	(cbrt (/ t (- a z)))
231.0ms	(cbrt (/ t (- a z)))
264.0ms	(cbrt (/ t (- a z)))

simplify1.3s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	1243
1	463
0	220

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
15.3b	(cbrt (/ t (- a z)))
15.3b	(cbrt (/ t (- a z)))
30.9b	(cbrt (/ (/ t (- a z)) (+ a z)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
161×	`*-un-lft-identity`
132×	`cbrt-prod`
120×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
21×	`distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
14×	`associate-/r/`
10×	`flip3--` `flip--`
9×	`frac-times` `pow1` `add-exp-log`
7×	`add-cbrt-cube` `div-inv`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 199

Calls

4 calls:

61.0ms	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
5.0ms	(cbrt (/ t (- a z)))
5.0ms	(cbrt (/ t (- a z)))
16.0ms	(cbrt (/ (/ t (- a z)) (+ a z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

397.0ms	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
231.0ms	(cbrt (/ t (- a z)))
194.0ms	(cbrt (/ t (- a z)))
196.0ms	(cbrt (/ (/ t (- a z)) (+ a z)))

simplify1.8s

Counts

211 → 211

Iterations

Iter	Nodes
done	5000
2	2872
1	915
0	461

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes502.0ms

Accuracy

50.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.1b

bsearch81.0ms

Steps

Iters	Range		Point
9	5.419669790069749e-96	3.0191073592704347e-89	8.641522179573097e-90
4	-10744.757432959457	-7177.526510763842	-8597.083490100815

simplify7.0ms

Iterations

Iter	Nodes
done	31
1	31
0	21

end0.0ms

sample1.3s

Algorithm

intervals

Results

873.0ms	8715×	body	80	valid
0.0ms	1×	body	160	valid