Details

sample44.0ms

Algorithm

intervals

Results

21.0ms

337×

body

valid

simplify1.7s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.0b	(* (- y x) (/ z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
29.0ms	(* (- y x) (/ z t))

series141.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ x (* (- y x) (/ z t)))
76.0ms	(* (- y x) (/ z t))

simplify584.0ms

Counts: 55 → 55

prune177.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
73.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series1.1s

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt z)
331.0ms	(cbrt z)
299.0ms	(cbrt z)
190.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify767.0ms

Counts: 81 → 81

prune316.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (- y x) (/ z t))
5.8b	(cbrt (* (- y x) (/ z t)))
5.8b	(cbrt (* (- y x) (/ z t)))
5.8b	(cbrt (* (- y x) (/ z t)))

rewrite90.0ms

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-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`pow1`
5×	`associate-l`
4×	`associate-*r/` `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 → 80

Calls

4 calls:

41.0ms	(* (- y x) (/ z t))
12.0ms	(cbrt (* (- y x) (/ z t)))
11.0ms	(cbrt (* (- y x) (/ z t)))
23.0ms	(cbrt (* (- y x) (/ z t)))

series719.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (- y x) (/ z t))
228.0ms	(cbrt (* (- y x) (/ z t)))
230.0ms	(cbrt (* (- y x) (/ z t)))
196.0ms	(cbrt (* (- y x) (/ z t)))

simplify646.0ms

Counts: 92 → 92

prune452.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (- y x) (/ z t))
5.8b	(cbrt (* (- y x) (/ z t)))
5.8b	(cbrt (* (- y x) (/ z t)))
8.9b	(cbrt (/ z t))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

34.0ms	(* (- y x) (/ z t))
30.0ms	(cbrt (* (- y x) (/ z t)))
19.0ms	(cbrt (* (- y x) (/ z t)))
4.0ms	(cbrt (/ z t))

series581.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- y x) (/ z t))
227.0ms	(cbrt (* (- y x) (/ z t)))
202.0ms	(cbrt (* (- y x) (/ z t)))
104.0ms	(cbrt (/ z t))

simplify705.0ms

Counts: 100 → 100

prune519.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

-604.8% (6.2b remaining)

Error of 6.2b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0s

end0.0ms

sample1.5s

Algorithm

intervals

Results

511.0ms

10652×

body

valid