Details

Time bar (total: 24.2s)

sample66.0ms

Algorithm
intervals
Results
29.0ms258×body80valid
5.0ms14×body640valid
3.0ms9×body1280valid
3.0ms14×body320valid
1.0ms10×body160valid

simplify9.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
01113
12013
24513
311612
432212
576612
6155512
7287312
8476112
done500012

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
4.2b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
29.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series256.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(/ (- y z) (- a z))
173.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify1.9s

Counts
70 → 70
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0116918
1266890
2653838
31707834
done5001830

prune280.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.1b
(/ 1 (/ (- a z) (- y z)))
4.2b
(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
41.0ms
(/ (- a z) (- y z))
42.0ms
(/ 1 (/ (- a z) (- y z)))
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series461.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(/ (- a z) (- y z))
200.0ms
(/ 1 (/ (- a z) (- y z)))
187.0ms
(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify3.2s

Counts
223 → 223
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02733782
16153270
214142947
339302867
done50022865

prune529.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.0b
(/ 1 (- y z))
0.2b
(/ (/ 1 (- a z)) (/ 1 (- y z)))
4.2b
(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
1131×times-frac
700×add-sqr-sqrt *-un-lft-identity
420×add-cube-cbrt
140×distribute-lft-out-- difference-of-squares
93×associate-/r/
52×add-exp-log
47×div-inv
46×flip3-- flip--
36×div-exp
31×associate-/r*
27×associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×fma-udef associate-/l/
Counts
4 → 613
Calls
4 calls:
18.0ms
(/ 1 (- a z))
12.0ms
(/ 1 (- y z))
75.0ms
(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.0ms
(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

series500.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ 1 (- a z))
58.0ms
(/ 1 (- y z))
187.0ms
(/ (/ 1 (- a z)) (/ 1 (- y z)))
193.0ms
(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) (- t x) x)

simplify2.2s

Counts
625 → 625
Iterations

Useful iterations: done (2.2s)

IterNodesCost
075015076
1206611234
238079996
done50009994

prune958.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
8.8b
(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
9.0ms
(cbrt (- y z))
8.0ms
(cbrt (- y z))
8.0ms
(cbrt (- y z))
1.0ms
(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

series805.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (- y z))
228.0ms
(cbrt (- y z))
190.0ms
(cbrt (- y z))
169.0ms
(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

simplify3.1s

Counts
73 → 73
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
096925
1198907
2435749
31162676
44176636
done5000636

prune313.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

regimes3.0ms