Details

Time bar (total: 25.5s)

sample34.0ms

Algorithm
intervals
Results
17.0ms394×body80valid

simplify22.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3809
42519
55289
69099
715739
820599
926669
1028139
1131459
1232179
1334559
1436079
1539329
1639569
done39569

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity
6×flip3-- flip--
5×associate-*r* associate-*l*
4×pow1 add-exp-log distribute-rgt-in frac-times add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 49
Calls
2 calls:
17.0ms
(+ x (* (- y z) (- t x)))
41.0ms
(* (- y z) (- t x))

series130.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ x (* (- y z) (- t x)))
66.0ms
(* (- y z) (- t x))

simplify924.0ms

Counts
55 → 55
Iterations

Useful iterations: done (922.0ms)

IterNodesCost
0110687
1291651
21093611
done5000609

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
11×add-log-exp
10×add-cube-cbrt associate-*l*
8×pow1 add-exp-log associate-*l/ add-cbrt-cube
4×flip3-- flip3-+ frac-add sum-log flip-- flip-+
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×+-commutative pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×neg-mul-1 associate-+l+ unsub-neg
Counts
4 → 82
Calls
4 calls:
25.0ms
(* (- y z) (- x))
23.0ms
(* (- y z) t)
20.0ms
(+ x (* (- y z) t))
56.0ms
(+ (+ x (* (- y z) t)) (* (- y z) (- x)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (- y z) (- x))
35.0ms
(* (- y z) t)
41.0ms
(+ x (* (- y z) t))
63.0ms
(+ (+ x (* (- y z) t)) (* (- y z) (- x)))

simplify1.1s

Counts
94 → 94
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01561229
14481057
21865997
done5001972

prune268.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- z y))) (cbrt (* x (- z y))))
4.5b
(cbrt (* x (- z y)))
4.5b
(cbrt (* x (- z y)))
4.5b
(cbrt (* x (- z y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
29.0ms
(* (cbrt (* x (- z y))) (cbrt (* x (- z y))))
8.0ms
(cbrt (* x (- z y)))
9.0ms
(cbrt (* x (- z y)))
14.0ms
(cbrt (* x (- z y)))

series42.0ms