Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

311×

body

valid

simplify31.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	68
3	46
2	24
1	11
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize17.0ms

Local error

Found 1 expressions with local error:

3.8b	(* x (- 1.0 (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

26.0ms

(* x (- 1.0 (* y z)))

series93.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(* x (- 1.0 (* y z)))

simplify2.1s

Counts

27 → 27

Iterations

Iter	Nodes
done	5002
3	2577
2	535
1	132
0	51

prune170.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.3b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.0b	(cbrt (- 1.0 (* y z)))
4.0b	(cbrt (- 1.0 (* y z)))
4.0b	(cbrt (- 1.0 (* y z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `flip3--` `add-exp-log` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

54.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

152.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
381.0ms	(cbrt (- 1.0 (* y z)))
352.0ms	(cbrt (- 1.0 (* y z)))
372.0ms	(cbrt (- 1.0 (* y z)))

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1151
1	342
0	135

prune706.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (- 1.0 (* y z)))) (cbrt (* x (- 1.0 (* y z)))))
3.8b	(* x (- 1.0 (* y z)))
3.8b	(* x (- 1.0 (* y z)))
3.8b	(* x (- 1.0 (* y z)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`associate-*r/`
17×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r` `associate-l`
12×	`cbrt-div` `add-exp-log`
10×	`add-cbrt-cube`
9×	`flip3--` `flip--`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3`
5×	`pow-prod-down`
4×	`cbrt-prod` `frac-times` `swap-sqr` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 111

Calls

4 calls:

30.0ms	(* (cbrt (* x (- 1.0 (* y z)))) (cbrt (* x (- 1.0 (* y z)))))
14.0ms	(* x (- 1.0 (* y z)))
17.0ms	(* x (- 1.0 (* y z)))
30.0ms	(* x (- 1.0 (* y z)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (* x (- 1.0 (* y z)))) (cbrt (* x (- 1.0 (* y z)))))
74.0ms	(* x (- 1.0 (* y z)))
83.0ms	(* x (- 1.0 (* y z)))
66.0ms	(* x (- 1.0 (* y z)))

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1203
1	330
0	136

prune778.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.9b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
3.8b	(* x (- 1.0 (* y z)))
3.8b	(* x (- 1.0 (* y z)))
4.0b	(cbrt (- 1.0 (* y z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
3×	`flip3--` `flip--`
2×	`cbrt-div` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt x)
14.0ms	(* x (- 1.0 (* y z)))
16.0ms	(* x (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt x)
68.0ms	(* x (- 1.0 (* y z)))
99.0ms	(* x (- 1.0 (* y z)))
353.0ms	(cbrt (- 1.0 (* y z)))

simplify1.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1315
1	315
0	129

prune516.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.9b

regimes704.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample797.0ms

Algorithm

intervals

Results

465.0ms

9631×

body

valid