Details

sample52.0ms

Algorithm

intervals

Results

24.0ms

263×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	39	17
3	64	17
4	114	17
5	262	17
6	793	17
7	3180	17
done	5000	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
5×	`add-log-exp`
4×	`associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `flip3--` `div-sub` `prod-diff` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `fma-neg` `diff-log`

Counts

3 → 95

Calls

3 calls:

19.0ms	(- (* y z) x)
185.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
52.0ms	(/ (- (* y z) x) (- (* t z) x))

series365.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* y z) x)
226.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
99.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.8s

Counts

104 → 104

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	175	1983
1	466	1903
2	2030	1773
done	5001	1766

prune490.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ x (- (* t z) x)) (+ x 1.0))
2.7b	(fma (/ y (- (* t z) x)) z x)
3.1b	(/ y (- (* t z) x))
3.4b	(/ x (- (* t z) x))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`associate-/r/` `distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
8×	`div-inv`
7×	`flip3--` `flip--`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`flip3-+` `flip-+` `fma-udef` `associate-/l/`

Counts

4 → 170

Calls

4 calls:

44.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
0.0ms	(fma (/ y (- (* t z) x)) z x)
15.0ms	(/ y (- (* t z) x))
23.0ms	(/ x (- (* t z) x))

series391.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
88.0ms	(fma (/ y (- (* t z) x)) z x)
56.0ms	(/ y (- (* t z) x))
76.0ms	(/ x (- (* t z) x))

simplify2.1s

Counts

182 → 182

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	256	3144
1	622	3011
2	2486	2862
done	5000	2858

prune872.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

2.7b	(fma (/ y (- (* t z) x)) z x)
3.1b	(/ y (- (* t z) x))
3.4b	(/ x (- (* t z) x))
13.5b	(cbrt (pow (/ x (- (* t z) x)) 3))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod` `times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down` `cube-prod`
8×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cube-div` `cube-mult` `cbrt-div` `pow1/3` `unpow3` `rem-cbrt-cube` `fma-udef` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

0.0ms	(fma (/ y (- (* t z) x)) z x)
22.0ms	(/ y (- (* t z) x))
35.0ms	(/ x (- (* t z) x))
25.0ms	(cbrt (pow (/ x (- (* t z) x)) 3))

series324.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma (/ y (- (* t z) x)) z x)
50.0ms	(/ y (- (* t z) x))
80.0ms	(/ x (- (* t z) x))
117.0ms	(cbrt (pow (/ x (- (* t z) x)) 3))

simplify1.7s

Counts

132 → 132

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	198	1968
1	550	1635
2	2871	1536
done	5001	1534

prune709.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.3b	(/ 1 (- (* t z) x))
11.9b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
32×	`times-frac`
30×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `prod-diff` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 134

Calls

4 calls:

18.0ms	(- (* y z) x)
55.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
26.0ms	(/ 1 (- (* t z) x))
84.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* y z) x)
221.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
52.0ms	(/ 1 (- (* t z) x))
96.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify3.6s

Counts

146 → 146

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	214	2542
1	554	2370
2	3459	2014
done	5001	2012

prune639.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

51.5% (2.3b remaining)

Error of 2.6b against oracle of 0.3b and baseline of 5.1b

bsearch115.0ms

Steps

Iters	Range		Point
8	1.9869247837742205e-85	5.6755020137360896e-83	1.1057785295358576e-83
2	-2.431490042894291e-08	-2.0869213830822955e-08	-2.129992465558795e-08

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	30	85
1	38	57
done	38	57

end0.0ms

sample1.4s

Algorithm

intervals

Results

860.0ms

8341×

body

valid