Details

sample47.0ms

Algorithm

intervals

Results

18.0ms

326×

body

valid

simplify512.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
4.7b	(/ (* y (- z t)) a)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

10.0ms	(- x (/ (* y (- z t)) a))
23.0ms	(* y (- z t))
26.0ms	(/ (* y (- z t)) a)

series158.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- x (/ (* y (- z t)) a))
37.0ms	(* y (- z t))
56.0ms	(/ (* y (- z t)) a)

simplify516.0ms

Counts: 72 → 72

prune185.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (/ y a) (- z t)))
5.6b	(* (/ y a) (- z t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

10.0ms	(- x (* (/ y a) (- z t)))
50.0ms	(* (/ y a) (- z t))

series136.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- x (* (/ y a) (- z t)))
70.0ms	(* (/ y a) (- z t))

simplify1.8s

Counts: 64 → 64

prune200.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
1.3b	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.5b	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

146×	`cbrt-div`
102×	`frac-times`
73×	`flip3--` `flip--`
52×	`associate-*r/`
45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`associate-*l/`
38×	`cbrt-prod`
36×	`add-exp-log`
25×	`pow1`
22×	`add-cube-cbrt` `associate-l`
21×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`associate-r`
11×	`pow-prod-down`
10×	`times-frac` `swap-sqr`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 205

Calls

4 calls:

4.0ms	(cbrt (- z t))
48.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
320.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
89.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series619.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (- z t))
189.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
73.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
152.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify1.5s

Counts: 217 → 217

prune788.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (- (/ (* z y) a) (/ (* t y) a)))
0.0b	(- (/ (* z y) a) (/ (* t y) a))
5.0b	(/ (* t y) a)
5.1b	(/ (* z y) a)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`times-frac`
11×	`add-log-exp`
10×	`add-cube-cbrt`
6×	`associate-/r*`
4×	`pow1` `cbrt-undiv` `distribute-rgt-out--` `diff-log` `div-exp` `div-inv` `distribute-lft-out--`
3×	`sub-neg`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l*` `associate--r+` `difference-of-squares`
1×	`frac-sub` `sub-div` `associate--r-`

Counts

4 → 81

Calls

4 calls:

90.0ms	(- x (- (/ (* z y) a) (/ (* t y) a)))
21.0ms	(- (/ (* z y) a) (/ (* t y) a))
10.0ms	(/ (* t y) a)
13.0ms	(/ (* z y) a)

series231.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- x (- (/ (* z y) a) (/ (* t y) a)))
74.0ms	(- (/ (* z y) a) (/ (* t y) a))
35.0ms	(/ (* t y) a)
38.0ms	(/ (* z y) a)

simplify1.6s

Counts: 93 → 93

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes248.0ms

Accuracy

-137.3% (5.8b remaining)

Error of 5.9b against oracle of 0.0b and baseline of 2.5b

bsearch68.0ms

Steps

Iters	Range		Point
6	1.4800420664589998e-20	1.7032597989513092e-19	9.369856241541125e-20
6	-1.3925516845007332e+18	-3.450289252411607e+17	-4.220030324223059e+17

simplify881.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

597.0ms

10669×

body

valid