Details

Time bar (total: 40.4s)

sample45.0ms

Algorithm
intervals
Results
17.0ms265×body80valid

simplify8.4s

Counts
1 → 1
Iterations
IterNodes
done5000
94483
83142
71868
6816
5398
4178
367
228
114
08

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize91.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
11.0b
(/ x (* (- y z) (- t z)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×prod-diff add-cube-cbrt
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*l/ associate-*r/
3×times-frac associate-/l*
2×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 87
Calls
2 calls:
108.0ms
(* (- y z) (- t z))
72.0ms
(/ x (* (- y z) (- t z)))

series239.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (- y z) (- t z))
189.0ms
(/ x (* (- y z) (- t z)))

simplify3.1s

Counts
93 → 93
Iterations
IterNodes
done5002
21534
1437
0178

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
0.9b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite276.0ms

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×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u 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 → 159
Calls
3 calls:
51.0ms
(/ x (- t z))
50.0ms
(/ 1 (- y z))
153.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series559.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ x (- t z))
48.0ms
(/ 1 (- y z))
450.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify3.7s

Counts
168 → 168
Iterations
IterNodes
done5000
21571
1555
0207

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
0.8b
(/ (/ x (- t z)) (- y z))

rewrite195.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 191
Calls
2 calls:
50.0ms
(/ x (- t z))
96.0ms
(/ (/ x (- t z)) (- y z))

series337.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x (- t z))
293.0ms
(/ (/ x (- t z)) (- y z))

simplify3.9s

Counts
197 → 197
Iterations
IterNodes
done5001
21732
1654
0270

prune2.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize156.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.9b
(* (/ 1 (- y z)) (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ x (cbrt (- t z)))))

rewrite978.0ms

Algorithm
rewrite-expression-head
Rules
263×add-exp-log
140×prod-exp
90×div-exp
55×add-cbrt-cube
31×rec-exp 1-exp
30×cbrt-unprod
28×add-sqr-sqrt *-un-lft-identity
21×cbrt-undiv associate-*l*
16×add-cube-cbrt
15×cbrt-prod times-frac
9×pow1
6×cbrt-div distribute-lft-out-- difference-of-squares
5×frac-times associate-*r/
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
3×pow1/3 pow-prod-down associate-*l/
2×associate-/r/
1×associate-*r* *-commutative div-inv
Counts
4 → 170
Calls
4 calls:
20.0ms
(cbrt (- t z))
19.0ms
(cbrt (- t z))
19.0ms
(cbrt (- t z))
889.0ms
(* (/ 1 (- y z)) (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ x (cbrt (- t z)))))

series2.5s

Counts
4 → 12
Calls
4 calls:
344.0ms
(cbrt (- t z))
361.0ms
(cbrt (- t z))
348.0ms
(cbrt (- t z))
1.4s
(* (/ 1 (- y z)) (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ x (cbrt (- t z)))))

simplify5.8s

Counts
182 → 182
Iterations
IterNodes
done5002
22110
1732
0278

prune1.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.6s

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample1.1s

Algorithm
intervals
Results
644.0ms8430×body80valid