Details

Time bar (total: 17.6s)

sample23.0ms

Algorithm
intervals
Results
8.0ms282×body80valid

simplify4.3s

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: 8.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
8.1b
(/ (- x (* y z)) (- t (* a z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
6.0ms
(- t (* a z))
18.0ms
(/ (- x (* y z)) (- t (* a z)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- t (* a z))
71.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.9s

Counts
60 → 60
Iterations

Useful iterations: done (1.9s)

IterNodesCost
099821
1247801
2744732
32444728
done5002708

prune188.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
3.0b
(/ x (- t (* a z)))
3.6b
(* y (/ z (- t (* a z))))
7.6b
(/ z (- t (* a z)))

rewrite101.0ms

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 associate-*r/ div-exp associate-*l*
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 144
Calls
4 calls:
51.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
9.0ms
(/ x (- t (* a z)))
26.0ms
(* y (/ z (- t (* a z))))
10.0ms
(/ z (- t (* a z)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
43.0ms
(/ x (- t (* a z)))
55.0ms
(* y (/ z (- t (* a z))))
61.0ms
(/ z (- t (* a z)))

simplify1.8s

Counts
156 → 156
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01902541
14452451
212462205
340742153
done50022140

prune495.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (/ (- t (* a z)) z))
3.0b
(/ x (- t (* a z)))
3.6b
(* y (/ 1 (/ (- t (* a z)) z)))
7.6b
(/ (- t (* a z)) z)

rewrite91.0ms

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:
14.0ms
(/ 1 (/ (- t (* a z)) z))
10.0ms
(/ x (- t (* a z)))
42.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
15.0ms
(/ (- t (* a z)) z)

series206.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ 1 (/ (- t (* a z)) z))
43.0ms
(/ x (- t (* a z)))
58.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
39.0ms
(/ (- t (* a z)) z)

simplify2.1s

Counts
228 → 228
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02863364
16642879
214552555
339402382
done50002380

prune628.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
3.0b
(/ x (- t (* a z)))
3.8b
(/ y (- (/ t z) a))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
702×add-sqr-sqrt
650×times-frac
534×*-un-lft-identity
459×prod-diff
432×add-cube-cbrt
364×unpow-prod-down
108×difference-of-squares
92×associate-/r/
51×distribute-lft-out--
50×div-inv
48×flip3-- flip--
28×fma-neg
17×sqr-pow
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num
Counts
4 → 601
Calls
4 calls:
23.0ms
(- (/ t z) a)
176.0ms
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
12.0ms
(/ x (- t (* a z)))
24.0ms
(/ y (- (/ t z) a))

series485.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ t z) a)
101.0ms
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
314.0ms
(/ x (- t (* a z)))
41.0ms
(/ y (- (/ t z) a))

simplify1.9s

Counts
613 → 613
Iterations

Useful iterations: 2 (946.0ms)

IterNodesCost
078940946
1164330922
2393425018
done500025018

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.7b

regimes238.0ms

Accuracy

87.9% (0.2b remaining)

Error of 1.6b against oracle of 1.5b and baseline of 3.0b

bsearch97.0ms

Steps
ItersRangePoint
7
1.3160112691565966e-63
2.747781108407397e-62
6.971341247317711e-63
11
-4.209419363785588e-21
-9.272928394700487e-42
-2.147501379453681e-37

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02553
13235
done3235

end0.0ms

sample638.0ms

Algorithm
intervals
Results
267.0ms8768×body80valid