Details

Time bar (total: 13.2s)

sample40.0ms

Algorithm
intervals
Results
24.0ms345×body80valid

simplify169.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1167
2367
3797
41177
51297
61317
done1317

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.7b
(* (* y (- x z)) t)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
45.0ms
(* y (- x z))
54.0ms
(* (* y (- x z)) t)

series121.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* y (- x z))
74.0ms
(* (* y (- x z)) t)

simplify4.1s

Counts
74 → 74
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0133972
1274786
2805634
34415592
done5000592

prune171.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
7.5b
(* y (* (- x z) t))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
32.0ms
(* (- x z) t)
46.0ms
(* y (* (- x z) t))

series110.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- x z) t)
74.0ms
(* y (* (- x z) t))

simplify3.3s

Counts
52 → 52
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
081445
1189431
2697365
33422365
done5000365

prune201.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.7b
(* (* y (- x z)) t)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
47.0ms
(* y (- x z))
45.0ms
(* (* y (- x z)) t)

series124.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* y (- x z))
60.0ms
(* (* y (- x z)) t)

simplify3.9s

Counts
74 → 74
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0133972
1274786
2805634
34415592
done5000592

prune278.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
3.4b
(* (cbrt y) (* (- x z) t))
4.3b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×associate-*r/
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 83
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
39.0ms
(* (cbrt y) (* (- x z) t))
194.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series1.0ms