Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5087
14	3347
13	1973
12	1280
11	840
10	503
9	302
8	207
7	158
6	130
5	108
4	98
3	68
2	39
1	22
0	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`+-commutative` `sum-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

9.0ms	(+ 0.99229 (* x 0.04481))
8.0ms	(+ 2.30753 (* x 0.27061))
25.0ms	(* (+ 0.99229 (* x 0.04481)) x)
20.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ 0.99229 (* x 0.04481))
46.0ms	(+ 2.30753 (* x 0.27061))
101.0ms	(* (+ 0.99229 (* x 0.04481)) x)
90.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1585
1	409
0	161

prune560.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (* (cbrt x) (cbrt x)) (fma x 0.04481 0.99229)) (cbrt x))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
40.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (* (cbrt x) (cbrt x)) (fma x 0.04481 0.99229)) (cbrt x))))

series905.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt x)
240.0ms	(cbrt x)
292.0ms	(cbrt x)
104.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (* (cbrt x) (cbrt x)) (fma x 0.04481 0.99229)) (cbrt x))))

simplify2.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4216
2	975
1	300
0	121

prune547.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

15.3b	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
15.3b	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
15.3b	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
19.3b	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 106

Calls

4 calls:

4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
13.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
8.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
56.0ms	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))

series389.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
100.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
99.0ms	(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))
92.0ms	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
3	1227
2	432
1	188
0	107

prune845.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* (fma x 0.04481 0.99229) x)))))
0.0b	(exp (* (fma x 0.04481 0.99229) x))
0.1b	(* (fma x 0.04481 0.99229) x)
3.1b	(log (exp (* (fma x 0.04481 0.99229) x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`times-frac`
11×	`pow1`
8×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
7×	`log-pow` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `associate-r` `associate-l` `associate-/l*`
2×	`exp-prod` `flip3-+` `exp-to-pow` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 89

Calls

4 calls:

28.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* (fma x 0.04481 0.99229) x)))))
3.0ms	(exp (* (fma x 0.04481 0.99229) x))
5.0ms	(* (fma x 0.04481 0.99229) x)
3.0ms	(log (exp (* (fma x 0.04481 0.99229) x)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* (fma x 0.04481 0.99229) x)))))
26.0ms	(exp (* (fma x 0.04481 0.99229) x))
87.0ms	(* (fma x 0.04481 0.99229) x)
92.0ms	(log (exp (* (fma x 0.04481 0.99229) x)))

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
3	3720
2	1031
1	344
0	157

prune518.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

8000×

body

valid