Details

Time bar (total: 26.3s)

sample55.0ms

Algorithm
intervals
Results
21.0ms288×body80valid

simplify7.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
732611
8112411
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
12.1b
(/ (- x (* y z)) (- t (* a z)))

rewrite76.0ms

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:
7.0ms
(- x (* y z))
13.0ms
(- t (* a z))
53.0ms
(/ (- x (* y z)) (- t (* a z)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- x (* y z))
63.0ms
(- t (* a z))
92.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify4.0s

Counts
83 → 83
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01201022
1297996
2868915
32856897
done5000859

prune396.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
3.3b
(* y (/ z (- t (* a z))))
3.9b
(/ x (- t (* a z)))
9.5b
(/ z (- t (* a z)))

rewrite101.0ms

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:
13.0ms
(- t (* a z))
36.0ms
(* y (/ z (- t (* a z))))
24.0ms
(/ x (- t (* a z)))
20.0ms
(/ z (- t (* a z)))

series314.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- t (* a z))
81.0ms
(* y (/ z (- t (* a z))))
77.0ms
(/ x (- t (* a z)))
107.0ms
(/ z (- t (* a z)))

simplify2.7s

Counts
130 → 130
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01631454
13531413
28981278
323191274
done50001212

prune514.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- t (* a z))
3.2b
(/ y (- (/ t z) a))
3.9b
(/ x (- t (* a z)))

rewrite127.0ms

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:
47.0ms
(- (/ t z) a)
8.0ms
(- t (* a z))
32.0ms
(/ y (- (/ t z) a))
23.0ms
(/ x (- t (* a z)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ t z) a)
73.0ms
(- t (* a z))
66.0ms
(/ y (- (/ t z) a))
73.0ms
(/ x (- t (* a z)))

simplify3.9s

Counts
175 → 175
Iterations

Useful iterations: done (3.9s)

IterNodesCost
02482493
14932088
210781834
330971672
done50001524

prune699.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.5b
(/ 1 (/ (- t (* a z)) x))
3.2b
(/ y (- (/ t z) a))
3.9b
(/ (- t (* a z)) x)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
87×add-sqr-sqrt
75×*-un-lft-identity
67×add-cube-cbrt
22×associate-/r*
19×add-exp-log
13×add-cbrt-cube
9×div-exp associate-/l*
8×difference-of-squares
7×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u distribute-lft-out--
3×flip3-- frac-2neg fma-neg prod-diff clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 173
Calls
4 calls:
7.0ms
(- t (* a z))
24.0ms
(/ 1 (/ (- t (* a z)) x))
54.0ms
(/ y (- (/ t z) a))
25.0ms
(/ (- t (* a z)) x)

series403.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- t (* a z))
197.0ms
(/ 1 (/ (- t (* a z)) x))
65.0ms
(/ y (- (/ t z) a))
87.0ms
(/ (- t (* a z)) x)

simplify2.9s

Counts
185 → 185
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02672588
15632340
212602109
332612087
done50002067

prune663.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

regimes240.0ms

Accuracy

82.8% (0.3b remaining)

Error of 1.6b against oracle of 1.3b and baseline of 3.0b

bsearch128.0ms

Steps
ItersRangePoint
7
5.0483432761710205e-06
0.001020768799921521
0.00010358342249128325
7
-1.2598404874570673e-85
-4.859368996141315e-87
-1.2479025177585968e-85

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02559
13339
done3339

end0.0ms

sample1.3s

Algorithm
intervals
Results
483.0ms8706×body80valid