Details

Time bar (total: 23.5s)

sample24.0ms

Algorithm
intervals
Results
11.0ms320×body80valid

simplify10.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
089
1149
2259
3488
4958
51378
61788
72188
82678
93728
104678
115268
125858
136308
146688
157978
169358
1712498
1817368
1923488
2025178
2125248
done25248

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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 (/ y t) (- z x) x)

series45.0ms

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

simplify992.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
023154
140154
293138
3266123
41166123
done5000123

prune59.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*l*
pow1 add-log-exp
expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
29.0ms
(+ (* (- z x) (/ y t)) x)
35.0ms
(* (- z x) (/ y t))

series135.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* (- z x) (/ y t)) x)
65.0ms
(* (- z x) (/ y t))

simplify3.6s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
0119705
1302653
21099609
34485576
done5000576

prune218.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
1.0b
(* (- z x) (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
11×*-un-lft-identity
cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
pow1
associate-*r* associate-*l*
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
pow1/3
frac-times flip3-- times-frac associate-*l/ flip-- unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
90.0ms
(* (- z x) (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
318.0ms
(cbrt t)
312.0ms
(cbrt t)
250.0ms
(cbrt t)
196.0ms
(* (- z x) (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))))

simplify1.3s

Counts
89 → 89
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01481095
13851021
21525780
done5000745

prune474.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.3b
(cbrt (* (- z x) (/ y t)))
7.7b
(* (- z x) (/ y t))
7.7b
(* (- z x) (/ y t))
7.7b
(* (- z x) (/ y t))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*r*
34×*-un-lft-identity
30×times-frac
28×add-cube-cbrt
19×add-exp-log add-cbrt-cube
15×associate-*l*
10×pow1
frac-times flip3-- associate-*l/ flip--
prod-exp cbrt-unprod unswap-sqr
cbrt-div
expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
cbrt-prod pow1/3
Counts
4 → 136
Calls
4 calls:
10.0ms
(cbrt (* (- z x) (/ y t)))
60.0ms
(* (- z x) (/ y t))
39.0ms
(* (- z x) (/ y t))
50.0ms
(* (- z x) (/ y t))

series430.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt (* (- z x) (/ y t)))
72.0ms
(* (- z x) (/ y t))
62.0ms
(* (- z x) (/ y t))
80.0ms
(* (- z x) (/ y t))

simplify3.6s

Counts
148 → 148
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01661694
13801624
212861478
348751430
done50001430

prune792.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes7.0ms