Details

Time bar (total: 6.3s)

sample83.0ms

Algorithm
intervals
Results
34.0ms742×body80nan
15.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
9.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
33.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series158.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07401370
142811055
250021053

prune309.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
11.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
32.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series201.0ms

Counts
4 → 10
Calls
4 calls:
79.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07551633
140891341
250021339

prune514.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.1b
(* (sqrt t) (/ x (* z y)))
3.5b
(/ x (* z y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
33×add-cbrt-cube
30×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
24×times-frac
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp associate-/r*
6×associate-/l*
4×pow-prod-down sqrt-prod add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 115
Calls
4 calls:
6.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
20.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
11.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series227.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
71.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
73.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04921141
121271031
250011019

prune409.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (cbrt (cbrt 3.0)))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.1b
(* (sqrt t) (/ x (* z y)))
3.5b
(/ x (* z y))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
183×cbrt-prod
146×add-sqr-sqrt
142×add-cube-cbrt *-un-lft-identity
37×add-exp-log
34×add-cbrt-cube
19×associate-/l*
13×prod-exp cbrt-unprod div-inv
11×pow1
10×associate-/r*
9×cbrt-undiv div-exp associate-*l*
8×associate-*r*
4×pow-prod-down sqrt-prod add-log-exp
3×associate-*r/
2×frac-2neg div-sub clear-num *-commutative unswap-sqr
1×acos-asin associate-/l/
Counts
4 → 260
Calls
4 calls:
16.0ms
(/ (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (cbrt (cbrt 3.0)))
20.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
11.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series230.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (cbrt (cbrt 3.0)))
75.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
73.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify135.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
010445737
143525567
250015477

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s23675×body80nan
417.0ms8000×body80valid