Details

Time bar (total: 7.4s)

sample33.0ms

Algorithm
intervals
Results
16.0ms342×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2207
3247
done247

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
13.0ms
(- (* x y) (* z t))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(- (* x y) (* z t))

simplify2.7s

Counts
19 → 19
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
038202
1104193
2318178
3984178
42237173
done5000173

prune88.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

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:
1.0ms
(fma x y (- (* t z)))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(fma x y (- (* t z)))

simplify4.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
019114
127114
250100
3188100
4744100
53890100
done5000100

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
1.5b
(cbrt (- (* x y) (* z t)))
1.5b
(cbrt (- (* x y) (* z t)))
1.5b
(cbrt (- (* x y) (* z t)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
71.0ms
(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
6.0ms
(cbrt (- (* x y) (* z t)))
6.0ms
(cbrt (- (* x y) (* z t)))
6.0ms
(cbrt (- (* x y) (* z t)))

series14.0ms