Details

Time bar (total: 8.9s)

sample39.0ms

Algorithm
intervals
Results
18.0ms348×body80valid

simplify874.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
099
1159
2269
3488
4868
51378
61758
72018
82358
93218
104338
115028
125928
136308
done6308

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

2.5b
(fma (/ y a) (- z t) 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) (- z t) x)

series55.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(fma (/ y a) (- z t) x)

simplify839.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
024154
141154
292138
3219123
4987123
done5000123

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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)

rewrite32.0ms

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:
5.0ms
(+ x (/ (* y (- z t)) a))
12.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

series180.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ x (/ (* y (- z t)) a))
46.0ms
(* y (- z t))
67.0ms
(/ (* y (- z t)) a)

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01701262
13851055
21057875
done5000833

prune442.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z t) (/ a y)))
6.3b
(/ (- z t) (/ a y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
31.0ms
(+ x (/ (- z t) (/ a y)))
12.0ms
(/ (- z t) (/ a y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (/ (- z t) (/ a y)))
46.0ms
(/ (- z t) (/ a y))

simplify861.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
02231932
16151792
218581697
done50001697

prune359.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

5.4b
(cbrt (/ (- z t) (/ a y)))
6.3b
(/ (- z t) (/ a y))
6.3b
(/ (- z t) (/ a y))
6.3b
(/ (- z t) (/ a y))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
467×times-frac
331×add-sqr-sqrt *-un-lft-identity
221×add-cube-cbrt
70×cbrt-prod
55×distribute-lft-out-- difference-of-squares
39×associate-/r*
27×div-inv
19×add-exp-log add-cbrt-cube
15×associate-/l*
9×cbrt-undiv div-exp
6×associate-/l/
4×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×flip3-- frac-2neg div-sub clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 390
Calls
4 calls:
7.0ms
(cbrt (/ (- z t) (/ a y)))
12.0ms
(/ (- z t) (/ a y))
13.0ms
(/ (- z t) (/ a y))
13.0ms
(/ (- z t) (/ a y))

series310.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (/ (- z t) (/ a y)))
47.0ms
(/ (- z t) (/ a y))
54.0ms
(/ (- z t) (/ a y))
47.0ms
(/ (- z t) (/ a y))

simplify928.0ms

Counts
402 → 402
Iterations

Useful iterations: done (912.0ms)

IterNodesCost
03556704
17696263
221136037
done50006036

prune1.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes331.0ms

Accuracy

74.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02143
12543
done2543

end0.0ms

sample647.0ms

Algorithm
intervals
Results
314.0ms10761×body80valid