Details

Time bar (total: 16.1s)

sample40.0ms

Algorithm
intervals
Results
13.0ms273×body80valid

simplify586.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
7631
6205
5108
480
352
238
119
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
10.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-log-exp
add-cbrt-cube add-exp-log
flip3-- flip--
pow1 associate-/r* associate-/l*
sub-neg diff-log associate-/r/ associate-/l/
cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 56
Calls
3 calls:
5.0ms
(- x (* y z))
5.0ms
(- t (* a z))
23.0ms
(/ (- x (* y z)) (- t (* a z)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- x (* y z))
39.0ms
(- t (* a z))
66.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify896.0ms

Counts
65 → 65
Iterations
IterNodes
done5001
2992
1258
096

prune501.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.2b
(/ 1 (- t (* a z)))
10.4b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
add-log-exp
pow1
flip3-- flip--
div-exp prod-exp associate-/r/
associate-/r* associate-*l* associate-/l* unswap-sqr
frac-times cbrt-undiv rec-exp sub-neg diff-log 1-exp associate-*l/ cbrt-unprod div-inv
clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 99
Calls
4 calls:
5.0ms
(- x (* y z))
7.0ms
(- t (* a z))
14.0ms
(/ 1 (- t (* a z)))
33.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series236.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- x (* y z))
49.0ms
(- t (* a z))
69.0ms
(/ 1 (- t (* a z)))
77.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.1s

Counts
111 → 111
Iterations
IterNodes
done5000
22639
1355
0135

prune631.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.5b
(/ (- t (* a z)) (- x (* y z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
17×add-exp-log
11×add-cbrt-cube associate-/r/
flip3-- div-exp flip-- add-log-exp
div-inv associate-/l*
pow1
cbrt-undiv
rec-exp clear-num sub-neg frac-2neg diff-log 1-exp associate-/l/
div-sub pow-flip inv-pow
Counts
4 → 140
Calls
4 calls:
4.0ms
(- x (* y z))
4.0ms
(- t (* a z))
23.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
21.0ms
(/ (- t (* a z)) (- x (* y z)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- x (* y z))
43.0ms
(- t (* a z))
265.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
68.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify1.8s

Counts
152 → 152
Iterations
IterNodes
done5001
22911
1553
0204

prune753.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.4b

localize36.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (- x (* y z)))
7.9b
(cbrt (- x (* y z)))
7.9b
(cbrt (- x (* y z)))
10.4b
(* (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (/ 1 (- t (* a z))))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
82×frac-times
58×flip3-- flip--
54×associate-*l/
43×add-exp-log
24×prod-exp
17×add-cbrt-cube associate-*r/
15×associate-*r*
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×pow1
12×cbrt-unprod
cbrt-prod times-frac
div-exp pow-prod-down
add-log-exp
cbrt-undiv rec-exp pow1/3 1-exp
associate-/r/
associate-*l* un-div-inv *-commutative div-inv
Counts
4 → 138
Calls
4 calls:
3.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (- x (* y z)))
239.0ms
(* (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (/ 1 (- t (* a z))))

series625.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (- x (* y z)))
174.0ms
(cbrt (- x (* y z)))
167.0ms
(cbrt (- x (* y z)))
115.0ms
(* (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (/ 1 (- t (* a z))))

simplify2.5s

Counts
150 → 150
Iterations
IterNodes
done5000
23983
1834
0280

prune976.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 10.4b

regimes1.0s

Accuracy

0% (0.3b remaining)

Error of 10.3b against oracle of 9.9b and baseline of 10.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.3s

Algorithm
intervals
Results
628.0ms8698×body80valid