Details

Time bar (total: 27.6s)

sample59.0ms

Algorithm
intervals
Results
24.0ms334×body80valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
099
1159
2269
3498
41008
51748
62568
73388
85998
911518
1034568
done50008

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

2.7b
(fma (/ y a) (- z t) x)

rewrite2.0ms

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:
1.0ms
(fma (/ y a) (- z t) x)

series116.0ms

Counts
1 → 3
Calls
1 calls:
116.0ms
(fma (/ y a) (- z t) x)

simplify2.9s

Counts
13 → 13
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
024154
141154
294138
3282123
42029123
done5002123

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ a y)) x)
5.7b
(/ (- z t) (/ a y))

rewrite242.0ms

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:
172.0ms
(+ (/ (- z t) (/ a y)) x)
46.0ms
(/ (- z t) (/ a y))

series228.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(+ (/ (- z t) (/ a y)) x)
111.0ms
(/ (- z t) (/ a y))

simplify2.0s

Counts
194 → 194
Iterations

Useful iterations: 2 (651.0ms)

IterNodesCost
02241920
16751808
230821697
done50011697

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ (/ a y) (- z t))) x)
0.5b
(/ 1 (/ (/ a y) (- z t)))
5.7b
(/ (/ a y) (- z t))

rewrite611.0ms

Algorithm
rewrite-expression-head
Rules
1315×times-frac
759×*-un-lft-identity
756×add-sqr-sqrt
546×add-cube-cbrt
218×fma-def
105×distribute-lft-out-- difference-of-squares
76×associate-/r*
52×div-inv
29×add-exp-log
18×div-exp associate-/r/
17×add-cbrt-cube
16×associate-/l*
9×cbrt-undiv
8×flip3-- flip--
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 649
Calls
3 calls:
380.0ms
(+ (/ 1 (/ (/ a y) (- z t))) x)
72.0ms
(/ 1 (/ (/ a y) (- z t)))
39.0ms
(/ (/ a y) (- z t))

series307.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(+ (/ 1 (/ (/ a y) (- z t))) x)
126.0ms
(/ 1 (/ (/ a y) (- z t)))
83.0ms
(/ (/ a y) (- z t))

simplify1.7s

Counts
658 → 658
Iterations

Useful iterations: done (1.7s)

IterNodesCost
05848603
116827467
done50017134

prune5.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
6.8b
(/ (* y (- z t)) a)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
47.0ms
(* y (- z t))
23.0ms
(+ x (/ (* y (- z t)) a))
44.0ms
(/ (* y (- z t)) a)

series303.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(* y (- z t))
115.0ms
(+ x (/ (* y (- z t)) a))
104.0ms
(/ (* y (- z t)) a)

simplify1.7s

Counts
97 → 97
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01701262
14361061
21787905
done5001859

prune585.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

85.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02143
12641
22741
done2741

end0.0ms

sample1.9s

Algorithm
intervals
Results
719.0ms10613×body80valid