Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

281×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
22	4837
21	4533
20	4220
19	3915
18	3605
17	3272
16	2914
15	2509
14	2029
13	1698
12	1246
11	750
10	447
9	347
8	287
7	262
6	225
5	152
4	94
3	57
2	36
1	20
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.0b	(fma (/ (- z t) (- a t)) y x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

31.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series200.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- z t) (- a t))
133.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	2056
2	652
1	264
0	113

prune430.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.0b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 214

Calls

3 calls:

19.0ms	(/ (- a t) (- z t))
26.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series504.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (- a t) (- z t))
185.0ms	(/ 1 (/ (- a t) (- z t)))
244.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify1.9s

Counts

223 → 223

Iterations

Iter	Nodes
done	5001
2	1858
1	696
0	270

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
0.4b	(/ 1 (* (- a t) (/ 1 (- z t))))
1.0b	(fma (/ 1 (* (- a t) (/ 1 (- z t)))) y x)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube` `div-exp`
16×	`prod-exp`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `associate-/r` `flip3--` `flip--` `associate-/l`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `un-div-inv` `inv-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 151

Calls

4 calls:

10.0ms	(/ 1 (- z t))
58.0ms	(* (- a t) (/ 1 (- z t)))
29.0ms	(/ 1 (* (- a t) (/ 1 (- z t))))
0.0ms	(fma (/ 1 (* (- a t) (/ 1 (- z t)))) y x)

series618.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ 1 (- z t))
84.0ms	(* (- a t) (/ 1 (- z t)))
185.0ms	(/ 1 (* (- a t) (/ 1 (- z t))))
291.0ms	(fma (/ 1 (* (- a t) (/ 1 (- z t)))) y x)

simplify3.4s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
3	4892
2	1352
1	461
0	193

prune920.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.0b	(fma (* (/ (/ 1 (cbrt (- a t))) (cbrt (- a t))) (/ (- z t) (cbrt (- a t)))) y x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (- a t))
8.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
0.0ms	(fma (* (/ (/ 1 (cbrt (- a t))) (cbrt (- a t))) (/ (- z t) (cbrt (- a t)))) y x)

series952.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (- a t))
182.0ms	(cbrt (- a t))
197.0ms	(cbrt (- a t))
315.0ms	(fma (* (/ (/ 1 (cbrt (- a t))) (cbrt (- a t))) (/ (- z t) (cbrt (- a t)))) y x)

simplify3.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	4542
3	1078
2	424
1	195
0	95

prune713.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes617.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

526.0ms	8718×	body	80	valid
0.0ms	1×	body	1280	valid