Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

272×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1738
5	555
4	198
3	84
2	40
1	19
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y t) (- y z))))
0.0b	(* (- y t) (- y z))
8.3b	(/ x (* (- y t) (- y z)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
32×	`associate-/r/`
31×	`flip3--` `flip--`
20×	`frac-times`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

3 → 149

Calls

3 calls:

29.0ms	(- 1.0 (/ x (* (- y t) (- y z))))
50.0ms	(* (- y t) (- y z))
19.0ms	(/ x (* (- y t) (- y z)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- 1.0 (/ x (* (- y t) (- y z))))
32.0ms	(* (- y t) (- y z))
85.0ms	(/ x (* (- y t) (- y z)))

simplify1.7s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	4434
1	798
0	311

prune756.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (- (/ (/ x (- y t)) (- y z))))
2.0b	(/ (/ x (- y t)) (- y z))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

195×	`times-frac`
163×	`*-un-lft-identity`
159×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
40×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-/l*`
14×	`associate-/r/`
7×	`flip3--` `add-cbrt-cube` `add-exp-log` `div-inv` `flip--`
6×	`add-log-exp`
5×	`associate-/r*`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`expm1-log1p-u` `pow1` `sum-log` `log1p-expm1-u` `distribute-lft-out`
1×	`neg-sub0` `+-commutative` `clear-num` `associate-+r-` `distribute-rgt-neg-in` `frac-2neg` `flip3-+` `unsub-neg` `neg-log` `flip-+` `associate-/l/`

Counts

2 → 172

Calls

2 calls:

160.0ms	(+ 1.0 (- (/ (/ x (- y t)) (- y z))))
36.0ms	(/ (/ x (- y t)) (- y z))

series182.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ 1.0 (- (/ (/ x (- y t)) (- y z))))
87.0ms	(/ (/ x (- y t)) (- y z))

simplify963.0ms

Counts

178 → 178

Iterations

Iter	Nodes
done	5001
2	3044
1	738
0	290

prune741.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (- (* x (/ (/ 1 (- y t)) (- y z)))))
0.0b	(/ 1 (- y t))
0.2b	(/ (/ 1 (- y t)) (- y z))
7.6b	(* x (/ (/ 1 (- y t)) (- y z)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac`
331×	`add-sqr-sqrt`
322×	`*-un-lft-identity`
159×	`add-cube-cbrt`
111×	`associate-r`
80×	`distribute-lft-out--` `difference-of-squares`
32×	`add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
20×	`add-cbrt-cube`
14×	`flip3--` `div-exp` `div-inv` `flip--`
10×	`associate-/r*`
8×	`add-log-exp`
7×	`pow1` `cbrt-undiv`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`rec-exp` `fma-def` `1-exp` `associate-l` `cbrt-unprod`
2×	`clear-num` `sum-log` `frac-2neg`
1×	`neg-sub0` `+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `pow-prod-down` `neg-log` `associate-r/` `-commutative` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow` `associate-/l/`

Counts

4 → 354

Calls

4 calls:

8.0ms	(+ 1.0 (- (* x (/ (/ 1 (- y t)) (- y z)))))
13.0ms	(/ 1 (- y t))
33.0ms	(/ (/ 1 (- y t)) (- y z))
92.0ms	(* x (/ (/ 1 (- y t)) (- y z)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ 1.0 (- (* x (/ (/ 1 (- y t)) (- y z)))))
38.0ms	(/ 1 (- y t))
87.0ms	(/ (/ 1 (- y t)) (- y z))
91.0ms	(* x (/ (/ 1 (- y t)) (- y z)))

simplify822.0ms

Counts

366 → 366

Iterations

Iter	Nodes
done	5001
1	1150
0	393

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ x (- y t)) (- y z)))
0.1b	(pow (- 1.0 (/ (/ x (- y t)) (- y z))) 3)
2.0b	(/ (/ x (- y t)) (- y z))
6.2b	(cbrt (pow (- 1.0 (/ (/ x (- y t)) (- y z))) 3))

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

750×	`times-frac`
740×	`add-sqr-sqrt`
705×	`*-un-lft-identity`
399×	`add-cube-cbrt`
333×	`prod-diff`
163×	`difference-of-squares`
153×	`distribute-lft-out--`
50×	`associate-/r/`
28×	`flip3--` `flip--`
25×	`div-inv`
21×	`associate-/l*`
20×	`cbrt-prod`
14×	`unpow-prod-down` `cube-prod`
10×	`add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
5×	`pow1` `associate-/r*`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `pow-unpow` `fma-neg` `div-exp`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `clear-num` `sub-neg` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt` `associate-/l/`

Counts

4 → 572

Calls

4 calls:

83.0ms	(- 1.0 (/ (/ x (- y t)) (- y z)))
121.0ms	(pow (- 1.0 (/ (/ x (- y t)) (- y z))) 3)
39.0ms	(/ (/ x (- y t)) (- y z))
108.0ms	(cbrt (pow (- 1.0 (/ (/ x (- y t)) (- y z))) 3))

series487.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- 1.0 (/ (/ x (- y t)) (- y z)))
176.0ms	(pow (- 1.0 (/ (/ x (- y t)) (- y z))) 3)
95.0ms	(/ (/ x (- y t)) (- y z))
105.0ms	(cbrt (pow (- 1.0 (/ (/ x (- y t)) (- y z))) 3))

simplify941.0ms

Counts

584 → 584

Iterations

Iter	Nodes
done	5001
1	2558
0	902

prune2.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes223.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample913.0ms

Algorithm

intervals

Results

406.0ms

8438×

body

valid