Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
7.0ms277×body80valid

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025
done50025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
9.8b
(/ (- x (* y z)) (- t (* a z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
5.0ms
(- x (* y z))
20.0ms
(/ (- x (* y z)) (- t (* a z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- x (* y z))
60.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify79.0ms

Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230349
1806322
23227322
35001322
done5001322

prune125.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.2b
(/ 1 (- t (* a z)))
9.7b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
5.0ms
(- x (* y z))
9.0ms
(/ 1 (- t (* a z)))
36.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series140.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (* y z))
47.0ms
(/ 1 (- t (* a z)))
63.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify42.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0312609
11432534
25001508
done5001508

prune181.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 9.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.8b
(/ (- t (* a z)) (- x (* y z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×flip3-- flip--
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 128
Calls
3 calls:
5.0ms
(- x (* y z))
22.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
16.0ms
(/ (- t (* a z)) (- x (* y z)))

series299.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (* y z))
206.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
63.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify49.0ms

Counts
137 → 137
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04691379
121491252
250011166
done50011166

prune231.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 9.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.3b
(/ 1 (- x (* y z)))
0.4b
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
9.6b
(* (- t (* a z)) (/ 1 (- x (* y z))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp associate-/r/
7×flip3-- flip--
6×cbrt-undiv associate-/l* add-log-exp
4×frac-times associate-*l/ associate-/r* cbrt-unprod
3×pow-flip associate-*l* div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×sub-neg diff-log *-commutative
Counts
4 → 131
Calls
4 calls:
5.0ms
(- x (* y z))
9.0ms
(/ 1 (- x (* y z)))
32.0ms
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
32.0ms
(* (- t (* a z)) (/ 1 (- x (* y z))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- x (* y z))
47.0ms
(/ 1 (- x (* y z)))
199.0ms
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
60.0ms
(* (- t (* a z)) (/ 1 (- x (* y z))))

simplify48.0ms

Counts
143 → 143
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0440973
12069809
25002770
done5002770

prune241.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 9.7b

regimes213.0ms

Accuracy

0% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125
done125

end0.0ms

sample773.0ms

Algorithm
intervals
Results
424.0ms8763×body80valid