Details

sample176.0ms

Algorithm

intervals

Results

96.0ms

575×

body

valid

simplify1.3s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
5.6b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* y z) (* t a)))
7.0b	(* j (- (* c t) (* i y)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(- (* y z) (* t a))
49.0ms	(* b (- (* c z) (* i a)))
47.0ms	(* x (- (* y z) (* t a)))
72.0ms	(* j (- (* c t) (* i y)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* y z) (* t a))
87.0ms	(* b (- (* c z) (* i a)))
78.0ms	(* x (- (* y z) (* t a)))
117.0ms	(* j (- (* c t) (* i y)))

simplify876.0ms

Counts: 96 → 96

prune544.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.9b

localize53.0ms

Local error

Found 4 expressions with local error:

5.6b	(* x (- (* y z) (* t a)))
9.1b	(cbrt (- (* c t) (* i y)))
9.1b	(cbrt (- (* c t) (* i y)))
9.1b	(cbrt (- (* c t) (* i y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

45.0ms	(* x (- (* y z) (* t a)))
9.0ms	(cbrt (- (* c t) (* i y)))
9.0ms	(cbrt (- (* c t) (* i y)))
10.0ms	(cbrt (- (* c t) (* i y)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* x (- (* y z) (* t a)))
132.0ms	(cbrt (- (* c t) (* i y)))
128.0ms	(cbrt (- (* c t) (* i y)))
163.0ms	(cbrt (- (* c t) (* i y)))

simplify1.6s

Counts: 75 → 75

prune648.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.9b

localize40.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (cbrt j) (- (* c t) (* i y)))
4.0b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
5.6b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* y z) (* t a)))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

46.0ms	(* (cbrt j) (- (* c t) (* i y)))
104.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
53.0ms	(* b (- (* c z) (* i a)))
47.0ms	(* x (- (* y z) (* t a)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

357.0ms	(* (cbrt j) (- (* c t) (* i y)))
124.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
72.0ms	(* b (- (* c z) (* i a)))
100.0ms	(* x (- (* y z) (* t a)))

simplify1.2s

Counts: 120 → 120

prune650.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.9b

localize42.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (- j) (* i y))
5.6b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* y z) (* t a)))
6.5b	(* t (* j c))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 92

Calls

4 calls:

22.0ms	(* (- j) (* i y))
31.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* x (- (* y z) (* t a)))
21.0ms	(* t (* j c))

series263.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- j) (* i y))
108.0ms	(* b (- (* c z) (* i a)))
78.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* t (* j c))

simplify923.0ms

Counts: 104 → 104

prune541.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 5.4b

regimes1.9s

Accuracy

3.2% (6.6b remaining)

Error of 12.4b against oracle of 5.8b and baseline of 12.6b

bsearch383.0ms

Steps

Iters	Range		Point
9	1.7931042710802973e+19	1.6825485275834064e+27	1.663620795834413e+24
9	-2.4070176293894375e+115	-2.2226638360263163e+108	-1.720736101505765e+109

simplify1.1s

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.6s

19116×

body

valid