Details

Time bar (total: 6.5s)

sample83.0ms

Algorithm
intervals
Results
36.0ms742×body80nan
14.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize21.0ms

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))

rewrite63.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 138
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))))
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series197.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (/ x (* y 27.0)))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
114.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify128.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
07501428
142971113
250011108

prune399.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite66.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 160
Calls
4 calls:
15.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.0ms
(/ 1.0 (cbrt 3.0))
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series243.0ms

Counts
4 → 10
Calls
4 calls:
95.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
113.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify128.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
07651691
141051399
250021394

prune631.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

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))

rewrite43.0ms

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×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 123
Calls
4 calls:
4.0ms
(/ (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))

series284.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
92.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
89.0ms
(* (sqrt t) (/ x (* z y)))
26.0ms
(/ x (* z y))

simplify82.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05051187
121531077
250021067

prune471.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
72×cbrt-prod
59×add-sqr-sqrt
55×add-cube-cbrt *-un-lft-identity
41×add-exp-log
36×add-cbrt-cube
14×prod-exp cbrt-unprod
13×div-inv
11×pow1 cbrt-undiv div-exp
10×associate-/r* associate-/l*
9×associate-*l*
8×associate-*r*
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/
2×frac-2neg div-sub clear-num *-commutative unswap-sqr
1×acos-asin associate-/l/
Counts
4 → 180
Calls
4 calls:
12.0ms
(/ (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
21.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
13.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series249.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
79.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
77.0ms
(* (sqrt t) (/ x (* z y)))
22.0ms
(/ x (* z y))

simplify100.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07613031
131912810
250012757

prune762.0ms

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
03021
13021

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s23675×body80nan
427.0ms8000×body80valid