Details

Time bar (total: 22.2s)

sample48.0ms

Algorithm
intervals
Results
23.0ms325×body80valid

simplify9.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
089
1149
2289
3518
4898
51498
61988
72228
82528
93058
104338
115498
126178
136638
147928
159308
1612438
1717328
1823388
1925088
2025158
done25158

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv 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 → 66
Calls
3 calls:
18.0ms
(+ x (/ (* (- y x) z) t))
39.0ms
(* (- y x) z)
31.0ms
(/ (* (- y x) z) t)

series158.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (/ (* (- y x) z) t))
40.0ms
(* (- y x) z)
66.0ms
(/ (* (- y x) z) t)

simplify1.6s

Counts
75 → 75
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0116736
1296699
21032605
done5000589

prune319.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.0b
(/ (- y x) (/ t z))

rewrite87.0ms

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:
50.0ms
(+ x (/ (- y x) (/ t z)))
31.0ms
(/ (- y x) (/ t z))

series129.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ x (/ (- y x) (/ t z)))
65.0ms
(/ (- y x) (/ t z))

simplify1.5s

Counts
127 → 127
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02211932
16031804
218801697
done50011695

prune539.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.6b
(* (- y x) (/ z t))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
13.0ms
(+ x (* (- y x) (/ z t)))
53.0ms
(* (- y x) (/ z t))

series149.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ x (* (- y x) (/ z t)))
79.0ms
(* (- y x) (/ z t))

simplify3.9s

Counts
62 → 62
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
0119705
1303661
21124603
34746576
done5000576

prune208.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv 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 → 66
Calls
3 calls:
22.0ms
(+ x (/ (* (- y x) z) t))
46.0ms
(* (- y x) z)
41.0ms
(/ (* (- y x) z) t)

series164.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ x (/ (* (- y x) z) t))
33.0ms
(* (- y x) z)
70.0ms
(/ (* (- y x) z) t)

simplify1.5s

Counts
75 → 75
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0116736
1296699
21032605
done5000589

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes183.0ms

Accuracy

32.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02356
13050
done3050

end0.0ms

sample1.6s

Algorithm
intervals
Results
577.0ms10621×body80valid