Details

Time bar (total: 23.1s)

sample24.0ms

Algorithm
intervals
Results
11.0ms340×body80valid

simplify11.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1158
2338
3638
41028
51428
61758
72138
82828
93678
104628
115208
125708
136138
146358
156738
168028
179408
1812538
1917448
2023498
2125208
2225288
done25288

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.8b

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b
(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ x y) (- z t) t)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (/ x y) (- z t) t)

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
023154
141154
291138
3263123
41131123
done5001123

prune51.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.6b
(* (/ x y) (- z t))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
38.0ms
(+ (* (/ x y) (- z t)) t)
39.0ms
(* (/ x y) (- z t))

series126.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* (/ x y) (- z t)) t)
82.0ms
(* (/ x y) (- z t))

simplify1.3s

Counts
104 → 104
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01781645
14511317
212311118
done50001088

prune344.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt y)
288.0ms
(cbrt x)
310.0ms
(cbrt x)
339.0ms
(cbrt x)

simplify2.1s

Counts
64 → 64
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune294.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

6.6b
(* (/ x y) (- z t))
8.4b
(cbrt (* (/ x y) (- z t)))
8.4b
(cbrt (* (/ x y) (- z t)))
8.4b
(cbrt (* (/ x y) (- z t)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
15×cbrt-div
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
9×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-*r/ flip--
6×pow1
5×associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
2×sub-neg prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
43.0ms
(* (/ x y) (- z t))
24.0ms
(cbrt (* (/ x y) (- z t)))
12.0ms
(cbrt (* (/ x y) (- z t)))
15.0ms
(cbrt (* (/ x y) (- z t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (/ x y) (- z t))
202.0ms
(cbrt (* (/ x y) (- z t)))
216.0ms
(cbrt (* (/ x y) (- z t)))
626.0ms
(cbrt (* (/ x y) (- z t)))

simplify3.4s

Counts
122 → 122
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01951820
14491621
212291421
347681352
done50001352

prune544.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes2.0ms