Details

Time bar (total: 16.6s)

sample30.0ms

Algorithm
intervals
Results
19.0ms272×body80valid

simplify4.4s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
5.2b
(/ x (* (- y z) (- t z)))

rewrite51.0ms

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:
26.0ms
(* (- y z) (- t z))
24.0ms
(/ x (* (- y z) (- t z)))

series187.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (- y z) (- t z))
144.0ms
(/ x (* (- y z) (- t z)))

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done5004
21539
1437
0178

prune409.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 122
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
84.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series959.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt x)
261.0ms
(cbrt x)
223.0ms
(cbrt x)
219.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify1.7s

Counts
134 → 134
Iterations
IterNodes
done5000
22132
1573
0186

prune894.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:
8.0ms
(/ x (- t z))
22.0ms
(/ (/ x (- t z)) (- y z))

series189.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ x (- t z))
143.0ms
(/ (/ x (- t z)) (- y z))

simplify1.3s

Counts
197 → 197
Iterations
IterNodes
done5002
21704
1652
0270

prune875.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
2.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite74.0ms

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:
16.0ms
(/ x (- t z))
17.0ms
(/ 1 (- y z))
36.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series410.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ x (- t z))
42.0ms
(/ 1 (- y z))
331.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify1.6s

Counts
168 → 168
Iterations
IterNodes
done5000
21594
1555
0207

prune736.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes261.0ms

Accuracy

27.8% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done27
127
022

end0.0ms

sample1.1s

Algorithm
intervals
Results
763.0ms8452×body80valid