Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

337×

body

valid

simplify1.6s

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

41.0ms	(* (- y x) z)
33.0ms	(/ (* (- y x) z) t)

series127.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (- y x) z)
76.0ms	(/ (* (- y x) z) t)

simplify428.0ms

Counts: 51 → 51

prune142.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

8.5b	(/ (- y x) (/ t z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `add-log-exp`

Counts

1 → 101

Calls

1 calls:

37.0ms

(/ (- y x) (/ t z))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(/ (- y x) (/ t z))

simplify808.0ms

Counts: 104 → 104

prune340.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

8.3b	(* (- y x) (/ z t))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

39.0ms

(* (- y x) (/ z t))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* (- y x) (/ z t))

simplify517.0ms

Counts: 41 → 41

prune127.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(* (cbrt t) (cbrt t))
5.7b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
33×	`cbrt-prod`
31×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-cube-cbrt`
28×	`associate-r`
27×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-l`
13×	`pow1`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
20.0ms	(* (cbrt t) (cbrt t))
95.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series977.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt t)
299.0ms	(cbrt t)
285.0ms	(* (cbrt t) (cbrt t))
106.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.1s

Counts: 135 → 135

prune347.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes145.0ms

Accuracy

-249.7% (6.6b remaining)

Error of 6.6b against oracle of 0.0b and baseline of 1.9b

bsearch79.0ms

Steps

Iters	Range		Point
7	1.3945413100120626e+119	1.4772054217747842e+121	1.6399433788347336e+119
8	-2.40672657520971e+58	-7.540211479213882e+55	-1.5706208345865676e+56

simplify530.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

780.0ms

10572×

body

valid