Details

Time bar (total: 21.0s)

sample53.0ms

Algorithm
intervals
Results
17.0ms346×body80valid

simplify10.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
089
1149
2289
3518
4898
51498
61988
72228
82528
93058
104338
115498
126178
136638
147928
159308
1612438
1717328
1823388
1925088
2025158
done25158

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
5.7b
(fma (/ (- y x) t) z x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
28.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series89.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- y x) t)
52.0ms
(fma (/ (- y x) t) z x)

simplify3.0s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
093570
1194548
2455512
31240497
43730496
done5000496

prune159.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y x) (/ 1 t))
5.7b
(fma (* (- y x) (/ 1 t)) z x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
38.0ms
(* (- y x) (/ 1 t))
0.0ms
(fma (* (- y x) (/ 1 t)) z x)

series88.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y x) (/ 1 t))
50.0ms
(fma (* (- y x) (/ 1 t)) z x)

simplify2.4s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0118668
1270538
2732464
32429449
done5000449

prune209.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- y x) (/ z t)) x)
5.2b
(* (- y x) (/ z t))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×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:
34.0ms
(+ (* (- y x) (/ z t)) x)
53.0ms
(* (- y x) (/ z t))

series130.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (* (- y x) (/ z t)) x)
78.0ms
(* (- y x) (/ z t))

simplify3.8s

Counts
60 → 60
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
0119705
1303653
21097609
34496576
done5000576

prune236.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
11.2b
(cbrt (/ z t))
11.2b
(cbrt (/ z t))
11.2b
(cbrt (/ z t))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 106
Calls
4 calls:
77.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series14.0ms