Details

Time bar (total: 12.7s)

sample30.0ms

Algorithm
intervals
Results
10.0ms264×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
61407
5414
4156
365
230
114
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.5b
(/ x (* (- y z) (- t z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*l/ associate-*r/
3×times-frac associate-/l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
50.0ms
(* (- y z) (- t z))
14.0ms
(/ x (* (- y z) (- t z)))

series243.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (- y z) (- t z))
182.0ms
(/ x (* (- y z) (- t z)))

simplify756.0ms

Counts
69 → 69
Iterations
IterNodes
done5000
21653
1312
0124

prune435.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.9b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite120.0ms

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-- cbrt-unprod div-inv flip--
3×rec-exp 1-exp add-log-exp
2×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
3 → 150
Calls
3 calls:
18.0ms
(/ x (- t z))
20.0ms
(/ 1 (- y z))
71.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series382.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ x (- t z))
51.0ms
(/ 1 (- y z))
284.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify1.5s

Counts
159 → 159
Iterations
IterNodes
done5002
23221
1565
0198

prune642.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.9b
(/ (/ x (- t z)) (- y z))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-cbrt-cube add-exp-log
8×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
9.0ms
(/ x (- t z))
39.0ms
(/ (/ x (- t z)) (- y z))

series233.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x (- t z))
189.0ms
(/ (/ x (- t z)) (- y z))

simplify1.2s

Counts
191 → 191
Iterations
IterNodes
done5000
22496
1652
0264

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
3.1b
(/ (/ x (- y z)) (- t z))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-cbrt-cube add-exp-log
8×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
18.0ms
(/ x (- y z))
26.0ms
(/ (/ x (- y z)) (- t z))

series225.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ x (- y z))
182.0ms
(/ (/ x (- y z)) (- t z))

simplify1.1s

Counts
191 → 191
Iterations
IterNodes
done5000
22496
1652
0264

prune840.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes372.0ms

Accuracy

5.6% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch119.0ms

Steps
ItersRangePoint
8
5.127282852445098e+223
3.91074057175929e+226
1.4626072475728358e+224
9
-1.651376568468627e-271
-4.778329773087373e-277
-4.800350695501533e-272

simplify4.0ms

Iterations
IterNodes
done30
230
128
024

end0.0ms

sample1.1s

Algorithm
intervals
Results
558.0ms8456×body80valid