Details

sample61.0ms

Algorithm

intervals

Results

16.0ms	252×	body	80	valid
5.0ms	21×	body	640	valid
3.0ms	15×	body	320	valid
3.0ms	9×	body	1280	valid
1.0ms	9×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3874
5	979
4	326
3	116
2	45
1	20
0	11

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
3.3b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite22.0ms

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:

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

series314.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ (- z t) (- a t))
222.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify1.9s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4602
2	861
1	272
0	116

prune515.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
4.8b	(fma (* (- z t) (/ 1 (- a t))) (- y x) x)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

18.0ms	(/ 1 (- a t))
55.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma (* (- z t) (/ 1 (- a t))) (- y x) x)

series304.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 1 (- a t))
87.0ms	(* (- z t) (/ 1 (- a t)))
171.0ms	(fma (* (- z t) (/ 1 (- a t))) (- y x) x)

simplify3.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	2820
1	364
0	152

prune563.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.9b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

8.0ms	(cbrt (/ (- z t) (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))
13.0ms	(cbrt (/ (- z t) (- a t)))
0.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) (- y x) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

473.0ms	(cbrt (/ (- z t) (- a t)))
505.0ms	(cbrt (/ (- z t) (- a t)))
446.0ms	(cbrt (/ (- z t) (- a t)))
189.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) (- y x) x)

simplify1.3s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
3	2562
2	759
1	345
0	178

prune1.1s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.7b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a t)))
2.6b	(cbrt (/ (- z t) (- a t)))
2.6b	(cbrt (/ (- z t) (- a t)))
7.2b	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (* (cbrt (- z t)) (cbrt (/ 1 (- a t))))) (- y x) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

83×	`cbrt-prod`
81×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
35×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 126

Calls

4 calls:

5.0ms	(cbrt (/ 1 (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))
20.0ms	(cbrt (/ (- z t) (- a t)))
1.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (* (cbrt (- z t)) (cbrt (/ 1 (- a t))))) (- y x) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (/ 1 (- a t)))
557.0ms	(cbrt (/ (- z t) (- a t)))
549.0ms	(cbrt (/ (- z t) (- a t)))
207.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (* (cbrt (- z t)) (cbrt (/ 1 (- a t))))) (- y x) x)

simplify1.9s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
3	4408
2	1154
1	487
0	260

prune1.1s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.7b

regimes976.0ms

Accuracy

41.4% (4.7b remaining)

Error of 8.0b against oracle of 3.4b and baseline of 11.4b

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	7795×	body	80	valid
117.0ms	491×	body	640	valid
116.0ms	264×	body	1280	valid
68.0ms	372×	body	320	valid
31.0ms	267×	body	160	valid
8.0ms	20×	body	2560	valid