Details

Time bar (total: 6.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify44.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.2b
(/ x (* (- y z) (- t z)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
45.0ms
(* (- y z) (- t z))
18.0ms
(/ x (* (- y z) (- t z)))

series166.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (- y z) (- t z))
129.0ms
(/ x (* (- y z) (- t z)))

simplify35.0ms

Counts
69 → 69

prune174.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
13.0ms
(/ 1 (- y z))
12.0ms
(/ x (- t z))
66.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series299.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (- y z))
31.0ms
(/ x (- t z))
228.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify50.0ms

Counts
159 → 159

prune316.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t z) x)
0.0b
(/ 1 (- y z))
0.7b
(/ 1 (/ (- t z) x))
1.0b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
247×add-sqr-sqrt
211×*-un-lft-identity
136×add-cube-cbrt
104×add-exp-log
62×associate-*r*
52×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
28×prod-exp
27×associate-/r*
21×associate-*l*
18×rec-exp 1-exp
15×unswap-sqr
14×cbrt-undiv
12×div-inv
11×associate-/l*
10×pow1
6×associate-/r/ cbrt-unprod
4×pow-flip inv-pow add-log-exp
3×flip3-- frac-2neg pow-prod-down clear-num flip--
2×associate-/l/
1×frac-times div-sub associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
4 → 326
Calls
4 calls:
18.0ms
(/ (- t z) x)
13.0ms
(/ 1 (- y z))
18.0ms
(/ 1 (/ (- t z) x))
97.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (- t z) x)
36.0ms
(/ 1 (- y z))
71.0ms
(/ 1 (/ (- t z) x))
934.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify100.0ms

Counts
338 → 338

prune652.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) x)
0.0b
(/ 1 (- y z))
1.0b
(/ (/ 1 (- y z)) (/ (- t z) x))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
1059×times-frac
669×add-sqr-sqrt *-un-lft-identity
401×add-cube-cbrt
134×distribute-lft-out-- difference-of-squares
45×div-inv
43×associate-/r/
31×add-exp-log
29×associate-/l*
27×associate-/r*
22×flip3-- flip--
19×div-exp add-cbrt-cube
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
3 → 542
Calls
3 calls:
16.0ms
(/ (- t z) x)
13.0ms
(/ 1 (- y z))
48.0ms
(/ (/ 1 (- y z)) (/ (- t z) x))

series664.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- t z) x)
39.0ms
(/ 1 (- y z))
596.0ms
(/ (/ 1 (- y z)) (/ (- t z) x))

simplify96.0ms

Counts
551 → 551

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample667.0ms

Algorithm
intervals
Results
271.0ms8435×body80valid