Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

354×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
15	4637
14	3604
13	1771
12	909
11	592
10	461
9	348
8	266
7	202
6	169
5	138
4	96
3	56
2	25
1	14
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.3b	(* (- y x) (/ z t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 51

Calls

2 calls:

12.0ms	(+ x (* (- y x) (/ z t)))
38.0ms	(* (- y x) (/ z t))

series120.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (* (- y x) (/ z t)))
75.0ms	(* (- y x) (/ z t))

simplify2.8s

Counts

57 → 57

Iterations

Iter	Nodes
done	5010
3	4834
2	1041
1	310
0	117

prune302.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.1b	(/ (- y x) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-prod` `cbrt-undiv` `div-exp` `add-cube-cbrt`
5×	`times-frac` `associate-/l*`
4×	`pow1` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-/r/`
2×	`distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `flip3--` `div-sub` `associate-l/` `associate-*r/` `div-inv` `flip--`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
38.0ms	(/ (- y x) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))

series943.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt z)
270.0ms	(cbrt z)
290.0ms	(cbrt z)
163.0ms	(/ (- y x) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))

simplify1.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1061
1	360
0	141

prune575.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`frac-times` `pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

41.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms	(cbrt (/ z t))
1.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series396.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
79.0ms	(cbrt (/ z t))
88.0ms	(cbrt (/ z t))
86.0ms	(cbrt (/ z t))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5013
3	2819
2	841
1	341
0	164

prune678.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (- y x) (/ z t))
7.6b	(cbrt (* (- y x) (/ z t)))
7.6b	(cbrt (* (- y x) (/ z t)))
7.6b	(cbrt (* (- y x) (/ z t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`pow1`
5×	`associate-l`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

33.0ms	(* (- y x) (/ z t))
7.0ms	(cbrt (* (- y x) (/ z t)))
7.0ms	(cbrt (* (- y x) (/ z t)))
7.0ms	(cbrt (* (- y x) (/ z t)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- y x) (/ z t))
179.0ms	(cbrt (* (- y x) (/ z t)))
178.0ms	(cbrt (* (- y x) (/ z t)))
182.0ms	(cbrt (* (- y x) (/ z t)))

simplify3.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
3	4472
2	1082
1	389
0	164

prune572.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes469.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample944.0ms

Algorithm

intervals

Results

572.0ms

10648×

body

valid