Details

sample54.0ms

Algorithm

intervals

Results

29.0ms

266×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3129
6	793
5	262
4	114
3	64
2	39
1	25
0	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

14.0ms	(- (* t z) x)
61.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
146.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
30.0ms	(/ (- (* y z) x) (- (* t z) x))

series449.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* t z) x)
125.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
198.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
85.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2214
1	489
0	182

prune871.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.7b	(fma (/ y (- (* t z) x)) z x)
2.9b	(/ y (- (* t z) x))
3.5b	(/ x (- (* t z) x))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

102.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
0.0ms	(fma (/ y (- (* t z) x)) z x)
23.0ms	(/ y (- (* t z) x))
24.0ms	(/ x (- (* t z) x))

series476.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
83.0ms	(fma (/ y (- (* t z) x)) z x)
66.0ms	(/ y (- (* t z) x))
117.0ms	(/ x (- (* t z) x))

simplify1.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
2	1862
1	512
0	215

prune995.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize81.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ y (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 76

Calls

4 calls:

12.0ms	(/ y (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))
8.0ms	(cbrt (- (* t z) x))
12.0ms	(cbrt (- (* t z) x))

series584.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ y (- (* t z) x))
156.0ms	(cbrt (- (* t z) x))
165.0ms	(cbrt (- (* t z) x))
197.0ms	(cbrt (- (* t z) x))

simplify2.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	2401
2	673
1	254
0	115

prune748.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize91.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ x (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 76

Calls

4 calls:

13.0ms	(/ x (- (* t z) x))
9.0ms	(cbrt (- (* t z) x))
9.0ms	(cbrt (- (* t z) x))
9.0ms	(cbrt (- (* t z) x))

series611.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ x (- (* t z) x))
185.0ms	(cbrt (- (* t z) x))
175.0ms	(cbrt (- (* t z) x))
170.0ms	(cbrt (- (* t z) x))

simplify2.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5002
3	3049
2	743
1	254
0	112

prune814.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes485.0ms

Accuracy

29.8% (3.1b remaining)

Error of 3.5b against oracle of 0.4b and baseline of 4.8b

bsearch140.0ms

Steps

Iters	Range		Point
8	6.579377756678931e-78	6.270051694991432e-75	5.3301113226933975e-75
6	-4.732205387525018e+158	-5.3731394571269196e+157	-5.440078247488523e+157

simplify12.0ms

Iterations

Iter	Nodes
done	38
1	38
0	30

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8318×

body

valid