Details

sample132.0ms

Algorithm

intervals

Results

65.0ms

510×

body

valid

simplify2.3s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.3b	(* (* (* x 18.0) y) z)

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
26.0ms	(* (* j 27.0) k)
297.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
83.0ms	(* (* (* x 18.0) y) z)

series271.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
170.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
40.0ms	(* (* (* x 18.0) y) z)

simplify1.0s

Counts: 93 → 93

prune442.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.3b	(* (* (* x 18.0) y) z)

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
22.0ms	(* j (* 27.0 k))
326.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
63.0ms	(* (* (* x 18.0) y) z)

series270.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
28.0ms	(* j (* 27.0 k))
178.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
41.0ms	(* (* (* x 18.0) y) z)

simplify990.0ms

Counts: 93 → 93

prune474.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.4b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* j (* 27.0 k))
2.9b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
6.3b	(* (* x (* 18.0 y)) z)

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

25.0ms	(* x (* 18.0 y))
26.0ms	(* j (* 27.0 k))
269.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
64.0ms	(* (* x (* 18.0 y)) z)

series242.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x (* 18.0 y))
27.0ms	(* j (* 27.0 k))
155.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
31.0ms	(* (* x (* 18.0 y)) z)

simplify910.0ms

Counts: 93 → 93

prune403.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.4b

localize55.0ms

Local error

Found 4 expressions with local error:

4.3b	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
6.3b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* x 18.0) y) z)

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

108.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
82.0ms	(* (* (* x 18.0) y) z)
91.0ms	(* (* (* x 18.0) y) z)
97.0ms	(* (* (* x 18.0) y) z)

series432.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
42.0ms	(* (* (* x 18.0) y) z)
37.0ms	(* (* (* x 18.0) y) z)
42.0ms	(* (* (* x 18.0) y) z)

simplify759.0ms

Counts: 86 → 86

prune552.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.4b

regimes1.2s

Accuracy

0% (3.5b remaining)

Error of 5.6b against oracle of 2.2b and baseline of 5.6b

bsearch776.0ms

Steps

Iters	Range		Point
8	1.3798075208453053e-90	7.241411645423096e-87	1.205035209333235e-88
9	-1.2719070144958227e+47	-2.6409389985668902e+39	-4.053702415850972e+42

simplify904.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.9s

16346×

body

valid