Details

Time bar (total: 12.9s)

sample42.0ms

Algorithm
intervals
Results
20.0ms331×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 5 (74.0ms)

IterNodesCost
099
1169
2329
3719
41739
54118
615318
done50008

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

2.2b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y a) (- t z) x)

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(fma (/ y a) (- t z) x)

simplify2.1s

Counts
13 → 13
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
024154
141154
294138
3288123
42297123
done5000123

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- t z) (/ a y)) x)
5.6b
(/ (- t z) (/ a y))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
98.0ms
(+ (/ (- t z) (/ a y)) x)
29.0ms
(/ (- t z) (/ a y))

series107.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (/ (- t z) (/ a y)) x)
53.0ms
(/ (- t z) (/ a y))

simplify1.2s

Counts
194 → 194
Iterations

Useful iterations: 2 (340.0ms)

IterNodesCost
02241920
16751800
231821697
done50001697

prune573.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.4b
(/ (cbrt (- t z)) (/ a (cbrt y)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
216×add-sqr-sqrt *-un-lft-identity
205×cbrt-prod
170×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×div-inv
9×add-exp-log
8×associate-/l*
6×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×cbrt-div associate-/l/
1×flip3-- frac-2neg clear-num associate-/r/ flip--
Counts
4 → 264
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
36.0ms
(/ (cbrt (- t z)) (/ a (cbrt y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt y)
278.0ms
(cbrt y)
217.0ms
(cbrt y)
267.0ms
(/ (cbrt (- t z)) (/ a (cbrt y)))

simplify617.0ms

Counts
276 → 276
Iterations

Useful iterations: done (604.0ms)

IterNodesCost
04055093
110364799
done50014686

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
39.0ms
(* y (- z t))
18.0ms
(- x (/ (* y (- z t)) a))
29.0ms
(/ (* y (- z t)) a)

series173.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* y (- z t))
58.0ms
(- x (/ (* y (- z t)) a))
58.0ms
(/ (* y (- z t)) a)

simplify1.6s

Counts
120 → 120
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02242333
15721868
226591511
done50011441

prune263.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes309.0ms

Accuracy

30.4% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02146
12346
done2346

end0.0ms

sample1.8s

Algorithm
intervals
Results
611.0ms10620×body80valid