Details

sample57.0ms

Algorithm

intervals

Results

36.0ms

354×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	2966
11	1855
10	1257
9	831
8	635
7	377
6	222
5	177
4	112
3	62
2	27
1	14
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 58

Calls

2 calls:

12.0ms	(+ x (* (- y x) (/ z t)))
44.0ms	(* (- y x) (/ z t))

series134.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ x (* (- y x) (/ z t)))
79.0ms	(* (- y x) (/ z t))

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1101
1	320
0	121

prune363.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite55.0ms

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×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `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 → 110

Calls

4 calls:

49.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms	(cbrt (/ z t))
1.0ms	(cbrt (/ z t))
1.0ms	(cbrt (/ z t))

series595.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
138.0ms	(cbrt (/ z t))
115.0ms	(cbrt (/ z t))
98.0ms	(cbrt (/ z t))

simplify2.3s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
3	3011
2	901
1	352
0	168

prune793.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize55.0ms

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)))

rewrite57.0ms

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×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `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 → 92

Calls

4 calls:

28.0ms	(* (- y x) (/ z t))
8.0ms	(cbrt (* (- y x) (/ z t)))
7.0ms	(cbrt (* (- y x) (/ z t)))
11.0ms	(cbrt (* (- y x) (/ z t)))

series795.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- y x) (/ z t))
236.0ms	(cbrt (* (- y x) (/ z t)))
237.0ms	(cbrt (* (- y x) (/ z t)))
256.0ms	(cbrt (* (- y x) (/ z t)))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1166
1	398
0	168

prune807.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (cbrt (- y x)) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac` `add-cube-cbrt`
23×	`cbrt-div`
9×	`frac-times` `pow1` `add-exp-log`
8×	`associate-l`
6×	`pow1/3` `associate-*r/`
5×	`add-cbrt-cube` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `div-inv`
2×	`unswap-sqr`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

58.0ms	(* (cbrt (- y x)) (* (cbrt (/ z t)) (cbrt (/ z t))))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series538.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (- y x)) (* (cbrt (/ z t)) (cbrt (/ z t))))
114.0ms	(cbrt (/ z t))
76.0ms	(cbrt (/ z t))
103.0ms	(cbrt (/ z t))

simplify2.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
3	2703
2	975
1	423
0	198

prune1.0s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes454.0ms

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

sample1.8s

Algorithm

intervals

Results

1.3s

10648×

body

valid