Details

Time bar (total: 24.3s)

sample61.0ms

Algorithm
intervals
Results
29.0ms334×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 5 (131.0ms)

IterNodesCost
099
1169
2329
3719
41739
54118
615318
done50008

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

2.7b
(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:
1.0ms
(fma (/ y a) (- t z) x)

series116.0ms

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

simplify3.5s

Counts
13 → 13
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
024154
141154
294138
3288123
42297123
done5000123

prune147.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite267.0ms

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:
179.0ms
(+ (/ (- t z) (/ a y)) x)
63.0ms
(/ (- t z) (/ a y))

series224.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(+ (/ (- t z) (/ a y)) x)
113.0ms
(/ (- t z) (/ a y))

simplify2.1s

Counts
194 → 194
Iterations

Useful iterations: 2 (657.0ms)

IterNodesCost
02241920
16751800
231821697
done50001697

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite600.0ms

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:
374.0ms
(+ (/ 1 (/ (/ a y) (- t z))) x)
70.0ms
(/ 1 (/ (/ a y) (- t z)))
37.0ms
(/ (/ a y) (- t z))

series318.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (/ 1 (/ (/ a y) (- t z))) x)
130.0ms
(/ 1 (/ (/ a y) (- t z)))
88.0ms
(/ (/ a y) (- t z))

simplify2.3s

Counts
658 → 658
Iterations

Useful iterations: done (2.3s)

IterNodesCost
05848603
116817467
done50007134

prune4.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

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:
20.0ms
(- x (/ (* y (- z t)) a))
47.0ms
(* y (- z t))
51.0ms
(/ (* y (- z t)) a)

series335.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(- x (/ (* y (- z t)) a))
79.0ms
(* y (- z t))
128.0ms
(/ (* y (- z t)) a)

simplify2.3s

Counts
120 → 120
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02242333
15721868
226541517
done50001441

prune684.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes1.2s

Accuracy

78.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02243
12641
22741
done2741

end0.0ms

sample1.8s

Algorithm
intervals
Results
715.0ms10613×body80valid