Details

sample179.0ms

Algorithm

intervals

Results

68.0ms	256×	body	80	nan
41.0ms	256×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	1923
3	388
2	108
1	50
0	28

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
0.2b	(/ (/ 2.0 t) 3.0)
2.6b	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
5.2b	(* (sqrt (+ a t)) (/ z t))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

293×	`times-frac`
220×	`add-sqr-sqrt`
217×	`*-un-lft-identity`
210×	`add-cube-cbrt`
131×	`associate-+r+`
129×	`prod-diff`
19×	`div-inv`
14×	`add-cbrt-cube` `add-exp-log`
13×	`fma-def` `associate-r` `associate-/l*`
9×	`add-log-exp`
7×	`associate-l`
6×	`pow1` `sqrt-prod`
4×	`expm1-log1p-u` `cbrt-undiv` `sqrt-div` `div-exp` `log1p-expm1-u` `unswap-sqr`
3×	`associate-/r*` `flip3-+` `flip-+` `distribute-lft-out`
2×	`frac-times` `sum-log` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `fma-udef` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 289

Calls

4 calls:

98.0ms	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
13.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
25.0ms	(* (sqrt (+ a t)) (/ z t))

series349.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
26.0ms	(/ (/ 2.0 t) 3.0)
201.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
99.0ms	(* (sqrt (+ a t)) (/ z t))

simplify895.0ms

Counts

301 → 301

Iterations

Iter	Nodes
done	5000
1	1886
0	696

prune3.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (+ t a)))
1.8b	(/ (* (cbrt (sqrt (+ t a))) z) t)
2.6b	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (cbrt (sqrt (+ t a))) z) t)))
2.6b	(* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (cbrt (sqrt (+ t a))) z) t))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
28×	`cbrt-div` `sqrt-div`
21×	`add-cbrt-cube`
16×	`frac-times`
14×	`flip3-+` `associate-*l/` `flip-+`
12×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`pow1`
7×	`cbrt-prod` `associate-r`
6×	`cbrt-undiv` `times-frac` `div-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `pow-prod-down`
2×	`div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/3` `associate-l` `-commutative` `fma-udef` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

4.0ms	(cbrt (sqrt (+ t a)))
14.0ms	(/ (* (cbrt (sqrt (+ t a))) z) t)
1.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (cbrt (sqrt (+ t a))) z) t)))
118.0ms	(* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (cbrt (sqrt (+ t a))) z) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (sqrt (+ t a)))
271.0ms	(/ (* (cbrt (sqrt (+ t a))) z) t)
367.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (cbrt (sqrt (+ t a))) z) t)))
329.0ms	(* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (cbrt (sqrt (+ t a))) z) t))

simplify2.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	4237
1	813
0	296

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (+ a t)))
0.6b	(cbrt (sqrt (+ a t)))
1.0b	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (log (exp (cbrt (sqrt (+ a t))))) z) t)))
12.3b	(log (exp (cbrt (sqrt (+ a t)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
18×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod`
11×	`log-pow`
10×	`exp-prod`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `sqrt-div` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `distribute-lft-out`
2×	`flip3-+` `pow1/3` `flip-+`
1×	`rem-log-exp` `fma-udef`

Counts

4 → 72

Calls

4 calls:

4.0ms	(cbrt (sqrt (+ a t)))
4.0ms	(cbrt (sqrt (+ a t)))
0.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (log (exp (cbrt (sqrt (+ a t))))) z) t)))
15.0ms	(log (exp (cbrt (sqrt (+ a t)))))

series795.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (sqrt (+ a t)))
162.0ms	(cbrt (sqrt (+ a t)))
256.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (log (exp (cbrt (sqrt (+ a t))))) z) t)))
184.0ms	(log (exp (cbrt (sqrt (+ a t)))))

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	3478
2	830
1	307
0	153

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a (- c b) (* 0.8333333333333334 (- b)))
0.0b	(exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 (- b)))))
0.0b	(/ x (fma y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 (- b))))) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `fma-udef` `log1p-expm1-u` `associate-/l`
2×	`exp-sum`
1×	`distribute-rgt-in` `cbrt-undiv` `exp-prod` `clear-num` `frac-2neg` `distribute-lft-in` `exp-to-pow` `div-exp` `div-inv` `rem-exp-log`

Counts

3 → 53

Calls

3 calls:

1.0ms	(fma a (- c b) (* 0.8333333333333334 (- b)))
14.0ms	(exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 (- b)))))
4.0ms	(/ x (fma y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 (- b))))) x))

series302.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(fma a (- c b) (* 0.8333333333333334 (- b)))
65.0ms	(exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 (- b)))))
191.0ms	(/ x (fma y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 (- b))))) x))

simplify1.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
3	2265
2	518
1	195
0	107

prune461.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes694.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	37
2	37
1	36
0	32

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.4s	8000×	body	80	valid
1.4s	7927×	body	80	nan