Details

Time bar (total: 11.6s)

sample37.0ms

Algorithm
intervals
Results
21.0ms270×body80valid

simplify579.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
8.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-cbrt-cube add-exp-log
4×flip3-- flip--
3×pow1 associate-/r* insert-posit16 associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 59
Calls
3 calls:
8.0ms
(- t (* a z))
9.0ms
(- x (* y z))
18.0ms
(/ (- x (* y z)) (- t (* a z)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- t (* a z))
33.0ms
(- x (* y z))
85.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.0s

Counts
68 → 68
Iterations
IterNodes
done5000
34818
2942
1260
099

prune470.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.8b

localize270.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.5b
(/ x (- t (* a z)))
9.4b
(/ (* y z) (- t (* a z)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-cbrt-cube add-exp-log
8×associate-/r/ add-log-exp
6×associate-/r* flip3-- flip--
4×pow1 insert-posit16 div-inv associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×clear-num sub-neg frac-2neg diff-log difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 88
Calls
4 calls:
7.0ms
(- t (* a z))
60.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
12.0ms
(/ x (- t (* a z)))
21.0ms
(/ (* y z) (- t (* a z)))

series259.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- t (* a z))
102.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
49.0ms
(/ x (- t (* a z)))
70.0ms
(/ (* y z) (- t (* a z)))

simplify981.0ms

Counts
100 → 100
Iterations
IterNodes
done5001
21426
1351
0143

prune562.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.5b
(/ 1 (- t (* a z)))
8.8b
(* (/ 1 (- t (* a z))) (- x (* y z)))

rewrite70.0ms

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-*l*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×sub-neg div-exp prod-exp associate-/r/ insert-posit16
3×associate-/r* associate-*r* associate-/l* unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv rec-exp distribute-lft-in diff-log 1-exp associate-*r/ cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
4 → 106
Calls
4 calls:
4.0ms
(- t (* a z))
7.0ms
(- x (* y z))
20.0ms
(/ 1 (- t (* a z)))
38.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- t (* a z))
35.0ms
(- x (* y z))
53.0ms
(/ 1 (- t (* a z)))
278.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

simplify1.3s

Counts
118 → 118
Iterations
IterNodes
done5000
22202
1387
0143

prune512.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.5b
(/ x (- t (* a z)))
3.8b
(* y (/ z (- t (* a z))))
8.8b
(/ z (- t (* a z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity times-frac add-cube-cbrt
15×associate-*r*
13×add-cbrt-cube add-exp-log
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- insert-posit16 flip--
3×cbrt-undiv div-exp associate-*l* associate-*r/ div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 110
Calls
4 calls:
29.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
7.0ms
(/ x (- t (* a z)))
16.0ms
(* y (/ z (- t (* a z))))
12.0ms
(/ z (- t (* a z)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
53.0ms
(/ x (- t (* a z)))
53.0ms
(* y (/ z (- t (* a z))))
60.0ms
(/ z (- t (* a z)))

simplify992.0ms

Counts
122 → 122
Iterations
IterNodes
done5001
21484
1398
0163

prune526.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.6b

regimes704.0ms

Accuracy

47.8% (2.0b remaining)

Error of 8.9b against oracle of 6.9b and baseline of 10.7b

bsearch57.0ms

Steps
ItersRangePoint
9
-4.050814288799716e-89
-7.650545593416471e-97
-1.9800017626576447e-92

simplify3.0ms

Iterations
IterNodes
done24
124
019

end0.0ms

sample1.2s

Algorithm
intervals
Results
825.0ms8713×body80valid