Details

Time bar (total: 19.8s)

sample50.0ms

Algorithm
intervals
Results
20.0ms273×body80valid

simplify812.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512211
622311
766811
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:
7.0ms
(- t (* a z))
38.0ms
(/ (- x (* y z)) (- t (* a z)))

series166.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- t (* a z))
111.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify714.0ms

Counts
60 → 60
Iterations

Useful iterations: done (711.0ms)

IterNodesCost
099821
1253801
21073734
done5000728

prune294.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.6b
(/ x (- t (* a z)))
9.7b
(/ (* y z) (- t (* a z)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
138×prod-diff
121×add-sqr-sqrt
118×*-un-lft-identity
116×add-cube-cbrt
58×associate-/r/
31×flip3-- flip--
29×div-inv
18×fma-neg
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×sub-neg frac-2neg diff-log clear-num difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 248
Calls
4 calls:
8.0ms
(- t (* a z))
95.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
10.0ms
(/ x (- t (* a z)))
19.0ms
(/ (* y z) (- t (* a z)))

series756.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- t (* a z))
581.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
60.0ms
(/ x (- t (* a z)))
67.0ms
(/ (* y z) (- t (* a z)))

simplify2.0s

Counts
260 → 260
Iterations

Useful iterations: done (2.0s)

IterNodesCost
032712561
178310581
231478591
done50008238

prune999.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.0b
(/ y (/ (- t (* a z)) z))
2.6b
(/ x (- t (* a z)))
8.3b
(/ (- t (* a z)) z)

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
1499×times-frac
923×add-sqr-sqrt
908×*-un-lft-identity
902×add-cube-cbrt
660×prod-diff
112×div-inv
108×associate-/r/
48×flip3-- flip--
19×associate-/r*
15×fma-neg
13×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 833
Calls
4 calls:
148.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
17.0ms
(/ y (/ (- t (* a z)) z))
15.0ms
(/ x (- t (* a z)))
19.0ms
(/ (- t (* a z)) z)

series325.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
68.0ms
(/ y (/ (- t (* a z)) z))
52.0ms
(/ x (- t (* a z)))
40.0ms
(/ (- t (* a z)) z)

simplify1.3s

Counts
845 → 845
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0108863919
1261259987
done500048484

prune4.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
2.0b
(/ y (- (/ t z) a))
2.6b
(/ x (- t (* a z)))

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
651×add-sqr-sqrt
616×times-frac
500×*-un-lft-identity
399×prod-diff
389×add-cube-cbrt
104×difference-of-squares
84×associate-/r/
54×distribute-lft-out--
46×div-inv
44×flip3-- flip--
28×fma-neg
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
1×frac-sub
Counts
4 → 540
Calls
4 calls:
46.0ms
(- (/ t z) a)
159.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
41.0ms
(/ y (- (/ t z) a))
19.0ms
(/ x (- t (* a z)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (/ t z) a)
195.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
79.0ms
(/ y (- (/ t z) a))
78.0ms
(/ x (- t (* a z)))

simplify2.5s

Counts
552 → 552
Iterations

Useful iterations: 2 (977.0ms)

IterNodesCost
066331251
1150928538
2472322876
done500022876

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.6b

regimes269.0ms

Accuracy

0% (1.4b remaining)

Error of 2.9b against oracle of 1.5b and baseline of 2.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01722
12222
done2222

end0.0ms

sample1.2s

Algorithm
intervals
Results
534.0ms8751×body80valid