Details

Time bar (total: 8.3s)

sample27.0ms

Algorithm
intervals
Results
11.0ms319×body80valid

simplify669.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2449
31139
43759
513589
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
99.0ms
(* x (+ (- y z) 1.0))
56.0ms
(/ (* x (+ (- y z) 1.0)) z)

series98.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (+ (- y z) 1.0))
57.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify848.0ms

Counts
53 → 53
Iterations

Useful iterations: done (846.0ms)

IterNodesCost
094609
1272593
21247507
done5001499

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
43.0ms
(/ z (+ (- y z) 1.0))
60.0ms
(/ x (/ z (+ (- y z) 1.0)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ z (+ (- y z) 1.0))
57.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.0s

Counts
145 → 145
Iterations

Useful iterations: 2 (361.0ms)

IterNodesCost
02002400
15222252
225672148
done50012148

prune349.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.6b
(* x (/ (+ (- y z) 1.0) z))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
96.0ms
(/ (+ (- y z) 1.0) z)
117.0ms
(* x (/ (+ (- y z) 1.0) z))

series119.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (+ (- y z) 1.0) z)
73.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify841.0ms

Counts
82 → 82
Iterations

Useful iterations: done (837.0ms)

IterNodesCost
01071003
1285967
21281875
done5001871

prune185.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
7.9b
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
522×*-un-lft-identity
292×add-sqr-sqrt add-cube-cbrt
92×distribute-lft-out
46×distribute-lft-out--
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-+ flip-+
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
47.0ms
(/ 1 (+ (- y z) 1.0))
88.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ 1 (+ (- y z) 1.0))
63.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

simplify857.0ms

Counts
378 → 378
Iterations

Useful iterations: done (838.0ms)

IterNodesCost
04889005
115907681
done50006849

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

97.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.5b

bsearch86.0ms

Steps
ItersRangePoint
7
1.6072365754313596e-29
3.192278572102886e-28
2.6146347937634723e-28
9
-911936.9907706906
-0.001112742289078708
-198391.30145553235

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01635
12227
done2227

end0.0ms

sample929.0ms

Algorithm
intervals
Results
456.0ms10043×body80valid