Details

Time bar (total: 12.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify149.0ms

Counts
1 → 1
Iterations
IterNodes
done160
9160
8157
7147
6131
5100
475
348
227
114
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.1b
(/ (* x (- y z)) (- t z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
30.0ms
(* x (- y z))
34.0ms
(/ (* x (- y z)) (- t z))

series145.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* x (- y z))
95.0ms
(/ (* x (- y z)) (- t z))

simplify2.5s

Counts
83 → 83
Iterations
IterNodes
done5000
34574
21048
1392
0157

prune365.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.7b
(* x (/ (- y z) (- t z)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 106
Calls
2 calls:
27.0ms
(/ (- y z) (- t z))
49.0ms
(* x (/ (- y z) (- t z)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- y z) (- t z))
77.0ms
(* x (/ (- y z) (- t z)))

simplify2.2s

Counts
112 → 112
Iterations
IterNodes
done5000
34646
21155
1375
0142

prune436.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
1.7b
(* x (* (- y z) (/ 1 (- t z))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*l* associate-*r/ distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
3 → 125
Calls
3 calls:
9.0ms
(/ 1 (- t z))
41.0ms
(* (- y z) (/ 1 (- t z)))
61.0ms
(* x (* (- y z) (/ 1 (- t z))))

series211.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 1 (- t z))
70.0ms
(* (- y z) (/ 1 (- t z)))
94.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify1.5s

Counts
134 → 134
Iterations
IterNodes
done5001
21480
1409
0164

prune519.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 198
Calls
2 calls:
23.0ms
(/ (- t z) (- y z))
20.0ms
(/ x (/ (- t z) (- y z)))

series248.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (- t z) (- y z))
187.0ms
(/ x (/ (- t z) (- y z)))

simplify1.6s

Counts
204 → 204
Iterations
IterNodes
done5002
22750
1737
0274

prune883.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample756.0ms

Algorithm
intervals
Results
408.0ms8698×body80valid