Details

Time bar (total: 9.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 5 (41.0ms)

IterNodesCost
099
1169
2329
3679
41489
52568
63778
75808
86718
98548
109208
done9208

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
4.9b
(/ (* y (- z t)) a)

rewrite35.0ms

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:
12.0ms
(* y (- z t))
8.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(/ (* y (- z t)) a)

series132.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* y (- z t))
50.0ms
(- x (/ (* y (- z t)) a))
47.0ms
(/ (* y (- z t)) a)

simplify1.0s

Counts
120 → 120
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
02242333
15221853
220441451
done50001451

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(* (cbrt a) (cbrt a))
5.9b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac associate-*r*
39×cbrt-prod
33×add-cube-cbrt
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr distribute-lft-out-- difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 141
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
6.0ms
(* (cbrt a) (cbrt a))
37.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt a)
173.0ms
(cbrt a)
196.0ms
(* (cbrt a) (cbrt a))
91.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.1s

Counts
153 → 153
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01991895
15551784
229281372
done50001364

prune428.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.4b
(/ y (/ a (- z t)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
382×add-sqr-sqrt
375×*-un-lft-identity
287×add-cube-cbrt
204×prod-diff
46×difference-of-squares
44×distribute-lft-out--
32×associate-/r/
26×associate-/r*
18×div-inv
15×flip3-- flip--
10×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 368
Calls
3 calls:
43.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
56.0ms
(/ y (/ a (- z t)))

simplify502.0ms

Counts
377 → 377
Iterations

Useful iterations: done (485.0ms)

IterNodesCost
066816466
1173115179
done500014881

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1 x (* (/ y a) (- (- z t))))
8.1b
(* (/ y a) (- (- z t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity
24×add-cube-cbrt
22×distribute-neg-in
18×prod-diff
14×associate-*r*
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
7×add-exp-log add-cbrt-cube
5×distribute-lft-neg-in distribute-rgt-neg-in
4×pow1 distribute-neg-frac
2×expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×cbrt-undiv neg-mul-1 div-exp pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out fma-udef div-inv
Counts
2 → 82
Calls
2 calls:
0.0ms
(fma 1 x (* (/ y a) (- (- z t))))
28.0ms
(* (/ y a) (- (- z t)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(fma 1 x (* (/ y a) (- (- z t))))
54.0ms
(* (/ y a) (- (- z t)))

simplify955.0ms

Counts
88 → 88
Iterations

Useful iterations: done (953.0ms)

IterNodesCost
01961414
15661208
221061004
done5000986

prune185.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes324.0ms

Accuracy

64.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.3b

bsearch61.0ms

Steps
ItersRangePoint
8
3.713066983026811e+65
6.642013340869958e+68
3.7574005919343346e+65
6
-2.6747694130275977e+104
-4.940402320025422e+103
-1.3995028580527438e+104

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02337
13137
23437
33537
done3537

end0.0ms

sample619.0ms

Algorithm
intervals
Results
301.0ms10663×body80valid