Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

299×

body

valid

simplify559.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	485
10	485
9	484
8	468
7	420
6	348
5	250
4	156
3	72
2	31
1	15
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.1b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`-un-lft-identity` `associate-l*`
6×	`associate-r` `associate-*l/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

32.0ms	(* (- x (/ 16.0 116.0)) 3.0)
61.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series97.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (- x (/ 16.0 116.0)) 3.0)
47.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.1s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	1092
1	205
0	84

prune202.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(- (* 3.0 x) 0.41379310344827586)
25.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series119.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (* 3.0 x) 0.41379310344827586)
68.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify1.6s

Counts

42 → 42

Iterations

Iter	Nodes
done	5002
3	1958
2	488
1	152
0	60

prune223.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
4×	`*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/` `add-cube-cbrt` `difference-of-squares`
1×	`times-frac` `flip3--` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

47.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.0s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	2693
2	563
1	161
0	62

prune128.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- (* 3.0 x) 0.41379310344827586))) (cbrt (* y (- (* 3.0 x) 0.41379310344827586))))
0.6b	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))
0.6b	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))
0.6b	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

64.0ms	(* (cbrt (* y (- (* 3.0 x) 0.41379310344827586))) (cbrt (* y (- (* 3.0 x) 0.41379310344827586))))
10.0ms	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))
9.0ms	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))
9.0ms	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))

series988.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (* y (- (* 3.0 x) 0.41379310344827586))) (cbrt (* y (- (* 3.0 x) 0.41379310344827586))))
253.0ms	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))
192.0ms	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))
235.0ms	(cbrt (* y (- (* 3.0 x) 0.41379310344827586)))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1781
1	488
0	191

prune590.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes278.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample837.0ms

Algorithm

intervals

Results

506.0ms

9132×

body

valid