Details

Time bar (total: 17.3s)

sample30.0ms

Algorithm
intervals
Results
15.0ms314×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
079
1119
2208
3368
4548
5748
6978
71348
82028
92878
104128
116978
1216938
done50008

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize7.0ms

Local error

Found 1 expressions with local error:

12.3b
(/ (fma (- z x) y x) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ (fma (- z x) y x) z)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (fma (- z x) y x) z)

simplify1.5s

Counts
32 → 32
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
059438
1103429
2234397
3587397
41700397
done5000397

prune124.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
7.5b
(/ (* x y) z)

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
30×add-sqr-sqrt
28×add-cube-cbrt prod-diff
24×times-frac
13×fma-def
10×distribute-lft-out add-log-exp
8×add-exp-log add-cbrt-cube
6×div-inv
4×fma-neg
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* difference-of-squares
Counts
3 → 103
Calls
3 calls:
17.0ms
(+ (/ x z) y)
168.0ms
(- (+ (/ x z) y) (/ (* x y) z))
10.0ms
(/ (* x y) z)

series74.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ x z) y)
32.0ms
(- (+ (/ x z) y) (/ (* x y) z))
22.0ms
(/ (* x y) z)

simplify2.3s

Counts
112 → 112
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01542085
13901744
213791437
done50001185

prune259.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ (- y) 1) (/ x z)) y)
3.4b
(* (+ (- y) 1) (/ x z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×flip3-+ flip-+
2×expm1-log1p-u frac-times associate-*l/ prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out unswap-sqr
1×cbrt-undiv +-commutative fma-def distribute-rgt-neg-in associate-*r/ div-exp pow-prod-down sum-log *-commutative div-inv
Counts
2 → 54
Calls
2 calls:
27.0ms
(+ (* (+ (- y) 1) (/ x z)) y)
69.0ms
(* (+ (- y) 1) (/ x z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (* (+ (- y) 1) (/ x z)) y)
42.0ms
(* (+ (- y) 1) (/ x z))

simplify4.0s

Counts
60 → 60
Iterations

Useful iterations: 3 (2.6s)

IterNodesCost
0115765
1313696
21132584
34501562
done5000562

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(fma 1 (+ (/ x z) y) (* (- x) (/ y z)))
6.7b
(* (- x) (/ y z))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
19×times-frac
13×fma-def associate-*r*
10×associate-*l*
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u
2×prod-exp cbrt-unprod div-inv unswap-sqr
1×cbrt-undiv +-commutative distribute-lft-neg-out neg-mul-1 flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ fma-udef distribute-lft-out
Counts
3 → 79
Calls
3 calls:
33.0ms
(+ (/ x z) y)
0.0ms
(fma 1 (+ (/ x z) y) (* (- x) (/ y z)))
18.0ms
(* (- x) (/ y z))

series105.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (/ x z) y)
48.0ms
(fma 1 (+ (/ x z) y) (* (- x) (/ y z)))
34.0ms
(* (- x) (/ y z))

simplify3.2s

Counts
88 → 88
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0120733
1324675
21144615
34943587
done5000587

prune269.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes3.0ms