Details

Time bar (total: 14.6s)

sample22.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify175.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4859
51119
61369
71489
81579
done1579

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize7.0ms

Local error

Found 1 expressions with local error:

11.4b
(/ (* x (- y z)) (- t z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
35.0ms
(/ (* x (- y z)) (- t z))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (* x (- y z)) (- t z))

simplify2.6s

Counts
34 → 34
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
077402
1209388
2712334
33237334
done5000334

prune133.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.6b
(/ x (/ (- t z) (- y z)))

rewrite77.0ms

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-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
29.0ms
(/ (- t z) (- y z))
27.0ms
(/ x (/ (- t z) (- y z)))

series310.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ (- t z) (- y z))
220.0ms
(/ x (/ (- t z) (- y z)))

simplify1.5s

Counts
204 → 204
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune672.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- y z))
0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ t (- y z))
2.6b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 664
Calls
4 calls:
17.0ms
(/ z (- y z))
132.0ms
(- (/ t (- y z)) (/ z (- y z)))
12.0ms
(/ t (- y z))
150.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ z (- y z))
106.0ms
(- (/ t (- y z)) (/ z (- y z)))
53.0ms
(/ t (- y z))
163.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify2.6s

Counts
676 → 676
Iterations

Useful iterations: done (2.6s)

IterNodesCost
067430232
1140427200
2323121186
done500118729

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.7b
(* x (/ (- y z) (- t z)))

rewrite126.0ms

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-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
49.0ms
(/ (- y z) (- t z))
68.0ms
(* x (/ (- y z) (- t z)))

series190.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- y z) (- t z))
108.0ms
(* x (/ (- y z) (- t z)))

simplify2.5s

Counts
112 → 112
Iterations

Useful iterations: 2 (229.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune389.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes201.0ms

Accuracy

43.1% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01651
12143
done2143

end0.0ms

sample783.0ms

Algorithm
intervals
Results
326.0ms8751×body80valid