Details

sample82.0ms

Algorithm

intervals

Results

52.0ms

446×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 5 (696.0ms)

Iter	Nodes	Cost
0	11	19
1	24	18
2	66	17
3	180	17
4	533	14
5	1929	11
done	5001	11

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x.im (* 3 (* x.re (- x.im))) (pow x.re 3))
0.3b	(* 3 (* x.re (- x.im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `distribute-rgt-neg-out` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x.im (* 3 (* x.re (- x.im))) (pow x.re 3))
16.0ms	(* 3 (* x.re (- x.im)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(fma x.im (* 3 (* x.re (- x.im))) (pow x.re 3))
26.0ms	(* 3 (* x.re (- x.im)))

simplify591.0ms

Counts

37 → 37

Iterations

Useful iterations: done (589.0ms)

Iter	Nodes	Cost
0	60	381
1	145	360
2	654	320
done	5001	289

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.im (* x.im (* x.re -3))) (pow x.re 3))
0.2b	(* x.im (* x.im (* x.re -3)))
0.2b	(* x.im (* x.re -3))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 57

Calls

3 calls:

57.0ms	(+ (* x.im (* x.im (* x.re -3))) (pow x.re 3))
50.0ms	(* x.im (* x.im (* x.re -3)))
22.0ms	(* x.im (* x.re -3))

series162.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ (* x.im (* x.im (* x.re -3))) (pow x.re 3))
25.0ms	(* x.im (* x.im (* x.re -3)))
25.0ms	(* x.im (* x.re -3))

simplify1.1s

Counts

66 → 66

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	85	703
1	241	638
2	1379	560
done	5000	551

prune313.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x.im (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (- x.im)))) (pow x.re 3))
0.3b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (- x.im))))
0.4b	(* (cbrt 3) (* x.re (- x.im)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`associate-l`
5×	`add-sqr-sqrt` `*-un-lft-identity` `distribute-rgt-neg-out` `add-cube-cbrt`
3×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma x.im (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (- x.im)))) (pow x.re 3))
98.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (- x.im))))
24.0ms	(* (cbrt 3) (* x.re (- x.im)))

series360.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(fma x.im (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (- x.im)))) (pow x.re 3))
98.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (- x.im))))
80.0ms	(* (cbrt 3) (* x.re (- x.im)))

simplify876.0ms

Counts

74 → 74

Iterations

Useful iterations: done (873.0ms)

Iter	Nodes	Cost
0	97	1083
1	253	1026
2	1267	724
done	5000	582

prune268.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x.im (* x.im (* x.re -3)))) (cbrt (* x.im (* x.im (* x.re -3)))))
22.7b	(cbrt (* x.im (* x.im (* x.re -3))))
22.7b	(cbrt (* x.im (* x.im (* x.re -3))))
22.7b	(cbrt (* x.im (* x.im (* x.re -3))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

50.0ms	(* (cbrt (* x.im (* x.im (* x.re -3)))) (cbrt (* x.im (* x.im (* x.re -3)))))
47.0ms	(cbrt (* x.im (* x.im (* x.re -3))))
49.0ms	(cbrt (* x.im (* x.im (* x.re -3))))
24.0ms	(cbrt (* x.im (* x.im (* x.re -3))))

series680.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (* x.im (* x.im (* x.re -3)))) (cbrt (* x.im (* x.im (* x.re -3)))))
142.0ms	(cbrt (* x.im (* x.im (* x.re -3))))
167.0ms	(cbrt (* x.im (* x.im (* x.re -3))))
167.0ms	(cbrt (* x.im (* x.im (* x.re -3))))

simplify6.7s

Counts

78 → 78

Iterations

Useful iterations: 3 (922.0ms)

Iter	Nodes	Cost
0	99	1152
1	249	1044
2	811	920
3	4902	791
done	5000	791

prune544.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

14238×

body

valid