Details

Time bar (total: 11.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
734211
8155511
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
8.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

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:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
9.0ms
(/ (- x (* y z)) (- t (* a z)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- t (* a z))
36.0ms
(- x (* y z))
60.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01201022
1296996
2850905
32706897
done5001889

prune265.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* z a)))))
2.4b
(/ x (- t (* a z)))
2.9b
(* y (/ z (- t (* z a))))
7.7b
(/ z (- t (* z a)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
46×times-frac
42×add-cube-cbrt *-un-lft-identity
15×fma-neg associate-*r* prod-diff
13×add-exp-log add-cbrt-cube
10×associate-/r/
6×pow1 flip3-- associate-/r* flip-- associate-/l* add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv div-exp associate-*l*
2×frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub
Counts
4 → 143
Calls
4 calls:
26.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* z a)))))
4.0ms
(/ x (- t (* a z)))
12.0ms
(* y (/ z (- t (* z a))))
4.0ms
(/ z (- t (* z a)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* z a)))))
39.0ms
(/ x (- t (* a z)))
50.0ms
(* y (/ z (- t (* z a))))
62.0ms
(/ z (- t (* z a)))

simplify1.8s

Counts
155 → 155
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02062536
14672446
212852206
342612149
done50002131

prune529.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize22.0ms

Local error

Found 4 expressions with local error:

2.4b
(/ x (- t (* a z)))
8.2b
(cbrt (- t (* z a)))
8.2b
(cbrt (- t (* z a)))
8.2b
(cbrt (- t (* z a)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 76
Calls
4 calls:
4.0ms
(/ x (- t (* a z)))
2.0ms
(cbrt (- t (* z a)))
2.0ms
(cbrt (- t (* z a)))
2.0ms
(cbrt (- t (* z a)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (- t (* a z)))
137.0ms
(cbrt (- t (* z a)))
137.0ms
(cbrt (- t (* z a)))
136.0ms
(cbrt (- t (* z a)))

simplify1.2s

Counts
88 → 88
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01311111
12821063
2680989
31725965
done5000927

prune426.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (- t (* z a)) z))
2.4b
(/ x (- t (* a z)))
2.9b
(* y (/ 1 (/ (- t (* z a)) z)))
7.6b
(/ (- t (* z a)) z)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
112×add-sqr-sqrt
100×*-un-lft-identity
98×add-cube-cbrt
44×associate-*r*
38×add-exp-log
22×add-cbrt-cube
19×associate-/r*
16×div-exp
11×div-inv
9×associate-/l*
8×cbrt-undiv
7×pow1 prod-exp
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp associate-/r/ log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num cbrt-unprod
2×flip3-- flip-- associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 216
Calls
4 calls:
7.0ms
(/ 1 (/ (- t (* z a)) z))
4.0ms
(/ x (- t (* a z)))
27.0ms
(* y (/ 1 (/ (- t (* z a)) z)))
6.0ms
(/ (- t (* z a)) z)

series187.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ 1 (/ (- t (* z a)) z))
39.0ms
(/ x (- t (* a z)))
52.0ms
(* y (/ 1 (/ (- t (* z a)) z)))
36.0ms
(/ (- t (* z a)) z)

simplify2.4s

Counts
228 → 228
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02973364
17092879
214922557
340792382
done50012380

prune633.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

regimes166.0ms

Accuracy

70.8% (0.5b remaining)

Error of 1.7b against oracle of 1.3b and baseline of 2.8b

bsearch92.0ms

Steps
ItersRangePoint
6
1.9974031211523764e-132
9.034365154863063e-132
3.823028368077575e-132
9
-6.583635655412548e-13
-4.461912485271438e-18
-9.215959661198367e-15

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02655
13437
done3437

end0.0ms

sample558.0ms

Algorithm
intervals
Results
284.0ms8738×body80valid