Details

Time bar (total: 23.9s)

sample32.0ms

Algorithm
intervals
Results
13.0ms280×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
732611
8112411
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
12.0ms
(- x (* y z))
12.0ms
(- t (* a z))
46.0ms
(/ (- x (* y z)) (- t (* a z)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- x (* y z))
43.0ms
(- t (* a z))
101.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify3.4s

Counts
83 → 83
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01201022
1297996
2868915
32856897
done5000859

prune312.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
1.2b
(/ x (- t (* a z)))
3.4b
(* y (/ z (- t (* a z))))
6.2b
(/ z (- t (* a z)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
28×times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×cbrt-undiv fma-neg div-exp associate-*l* prod-diff div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log associate-*r/ pow-prod-down *-commutative
Counts
4 → 118
Calls
4 calls:
12.0ms
(- t (* a z))
17.0ms
(/ x (- t (* a z)))
32.0ms
(* y (/ z (- t (* a z))))
17.0ms
(/ z (- t (* a z)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- t (* a z))
72.0ms
(/ x (- t (* a z)))
65.0ms
(* y (/ z (- t (* a z))))
89.0ms
(/ z (- t (* a z)))

simplify2.4s

Counts
130 → 130
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01631454
13531413
29081278
323421274
done50001212

prune461.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- t (* a z))
1.2b
(/ x (- t (* a z)))
3.4b
(/ y (- (/ t z) a))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
76×*-un-lft-identity
68×times-frac
66×add-cube-cbrt
42×prod-diff
16×fma-neg
10×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×div-inv associate-/l*
5×distribute-lft-out--
4×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num
Counts
4 → 163
Calls
4 calls:
24.0ms
(- (/ t z) a)
6.0ms
(- t (* a z))
10.0ms
(/ x (- t (* a z)))
41.0ms
(/ y (- (/ t z) a))

series163.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (/ t z) a)
39.0ms
(- t (* a z))
51.0ms
(/ x (- t (* a z)))
46.0ms
(/ y (- (/ t z) a))

simplify3.1s

Counts
175 → 175
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02482493
14932088
210751834
330921672
done50001524

prune606.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.4b
(/ 1 (- (/ t z) a))
1.2b
(/ x (- t (* a z)))
3.4b
(* y (/ 1 (- (/ t z) a)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
54×times-frac
51×*-un-lft-identity
36×add-cube-cbrt
24×associate-*r*
19×add-exp-log
14×difference-of-squares
13×add-cbrt-cube
9×associate-/r*
7×pow1 distribute-lft-out--
6×associate-/r/ associate-/l* add-log-exp
5×div-exp
4×expm1-log1p-u flip3-- prod-exp flip-- log1p-expm1-u
3×cbrt-undiv fma-neg associate-*l* prod-diff div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 147
Calls
4 calls:
8.0ms
(- t (* a z))
32.0ms
(/ 1 (- (/ t z) a))
13.0ms
(/ x (- t (* a z)))
98.0ms
(* y (/ 1 (- (/ t z) a)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- t (* a z))
61.0ms
(/ 1 (- (/ t z) a))
58.0ms
(/ x (- t (* a z)))
50.0ms
(* y (/ 1 (- (/ t z) a)))

simplify3.8s

Counts
159 → 159
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
02081800
14441573
29161436
319871432
447131412
done50001412

prune487.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.1b

regimes220.0ms

Accuracy

48.4% (0.8b remaining)

Error of 2.2b against oracle of 1.4b and baseline of 2.9b

bsearch142.0ms

Steps
ItersRangePoint
11
2.4976381871973086e-67
1.5317958594486916e-46
1.0469961433143277e-51
10
-5.861019247380232e-273
-1.0698574893927334e-283
-1.0583634769447563e-274

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02455
13237
done3237

end0.0ms

sample1.4s

Algorithm
intervals
Results
823.0ms8706×body80valid