Details

Time bar (total: 21.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms283×body80valid

simplify270.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
229164
356164
489164
5120164
6145164
7157164
8168164
9172164
10178164
11180164
done180164

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:
22.0ms
(* x (- y z))
36.0ms
(/ (* x (- y z)) (- t z))

series150.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (- y z))
98.0ms
(/ (* x (- y z)) (- t z))

simplify1.3s

Counts
83 → 83
Iterations

Useful iterations: done (1.3s)

IterNodesCost
015721765
139818908
2162215384
done500115144

prune413.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:
30.0ms
(/ (- t z) (- y z))
21.0ms
(/ x (/ (- t z) (- y z)))

series311.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (- t z) (- y z))
237.0ms
(/ x (/ (- t z) (- y z)))

simplify1.8s

Counts
204 → 204
Iterations

Useful iterations: done (1.8s)

IterNodesCost
027478597
174373105
2385171475
done500171395

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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:
20.0ms
(/ (- y z) (- t z))
43.0ms
(* x (/ (- y z) (- t z)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- y z) (- t z))
112.0ms
(* x (/ (- y z) (- t z)))

simplify1.1s

Counts
112 → 112
Iterations

Useful iterations: done (1.1s)

IterNodesCost
014227810
138125764
2153125358
done500025278

prune602.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
1310×*-un-lft-identity
1302×add-sqr-sqrt
1293×times-frac
882×prod-diff
772×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
268×distribute-lft-out--
262×difference-of-squares
174×associate-/r/
88×flip3-- flip--
87×div-inv
18×associate-*r*
6×add-cbrt-cube add-exp-log
5×associate-/r*
4×pow1 associate-*r/
3×distribute-rgt-out-- associate-*l* associate-/l*
2×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
2 → 964
Calls
2 calls:
16.0ms
(/ z (- t z))
359.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series187.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ z (- t z))
121.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify4.9s

Counts
970 → 970
Iterations

Useful iterations: done (4.5s)

IterNodesCost
01247904394
12690797109
done5001732117

prune6.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes369.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
done8164

end0.0ms

sample1.3s

Algorithm
intervals
Results
476.0ms8714×body80valid