Details

sample35.0ms

Algorithm

intervals

Results

23.0ms

300×

body

valid

simplify447.0ms

Calls

1 calls:

Slowest

447.0ms

(* x (/ (* (/ y z) t) t))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 1 expressions with local error:

4.5b	(* x (/ y z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`times-frac`
9×	`associate-*r/`
6×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/l*`
3×	`pow1` `associate-/r` `associate-l*`
2×	`clear-num` `prod-exp` `un-div-inv` `cbrt-unprod` `unswap-sqr`
1×	`expm1-log1p-u` `cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `*-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

15.0ms

(* x (/ y z))

series22.0ms

Calls

1 calls:

Slowest

22.0ms

(* x (/ y z))

simplify725.0ms

Calls

36 calls:

Slowest

268.0ms	(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
113.0ms	(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
49.0ms	(+ (log x) (log (/ y z)))
37.0ms	(+ (log x) (- (log y) (log z)))
35.0ms	(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune480.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.8b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

1278×	`add-sqr-sqrt`
1069×	`associate-r`
1013×	`cbrt-prod`
810×	`times-frac`
515×	`*-un-lft-identity`
513×	`add-cube-cbrt`
378×	`unswap-sqr`
372×	`swap-sqr`
340×	`associate-l`
81×	`add-cbrt-cube`
75×	`*-commutative`
66×	`cbrt-unprod`
57×	`associate-*r/`
29×	`associate-/l*`
27×	`associate-/r*`
25×	`cbrt-undiv`
22×	`add-exp-log`
9×	`prod-exp`
6×	`pow1`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `un-div-inv`
2×	`clear-num`
1×	`frac-2neg` `pow-prod-down` `div-inv`

Calls

4 calls:

Slowest

111.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.4s

Calls

4 calls:

Slowest

706.0ms	(cbrt z)
257.0ms	(cbrt z)
256.0ms	(cbrt z)
134.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify1.1m

Calls

1012 calls:

Slowest

555.0ms	(* (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
537.0ms	(* (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (cbrt z)) (* (* (cbrt z) (cbrt z)) (cbrt z)))))
493.0ms	(* (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
454.0ms	(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
409.0ms	(* (sqrt x) (/ (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt z)) (cbrt (sqrt z)))))

prune12.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.8b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (* (* (cbrt z) (cbrt z)) (cbrt z))) (cbrt z))))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite891.0ms

Algorithm

rewrite-expression-head

Rules

9614×	`add-sqr-sqrt`
8575×	`cbrt-prod`
5226×	`unswap-sqr`
4177×	`associate-r`
3366×	`times-frac`
3252×	`associate-l`
1493×	`add-cube-cbrt`
1467×	`*-un-lft-identity`
1358×	`swap-sqr`
442×	`*-commutative`
141×	`associate-*r/`
111×	`associate-/r*`
81×	`add-cbrt-cube`
66×	`cbrt-unprod`
29×	`associate-/l*`
25×	`cbrt-undiv`
22×	`add-exp-log`
9×	`prod-exp`
6×	`pow1`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `un-div-inv`
2×	`clear-num`
1×	`frac-2neg` `pow-prod-down` `div-inv`

Calls

4 calls:

Slowest

523.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (* (* (cbrt z) (cbrt z)) (cbrt z))) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series914.0ms

Calls

4 calls:

Slowest

295.0ms	(cbrt z)
289.0ms	(cbrt z)
221.0ms	(cbrt z)
110.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (* (* (cbrt z) (cbrt z)) (cbrt z))) (cbrt z))))

simplify7.8m

Calls

3940 calls:

Slowest

868.0ms	(* (sqrt x) (/ (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (* (sqrt (* (cbrt z) (cbrt z))) (sqrt (cbrt z)))) (sqrt (cbrt z)))))
848.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (* (* (cbrt z) (cbrt z)) (cbrt z))) (cbrt z))))
845.0ms	(* (sqrt x) (/ (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (cbrt (* (sqrt (* (cbrt z) (cbrt z))) (sqrt (cbrt z)))) (cbrt (sqrt z)))))
834.0ms	(* (sqrt x) (/ (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt (* (* (cbrt z) (cbrt z)) (cbrt z)))) (sqrt (cbrt z)))))
815.0ms	(* (sqrt x) (/ (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (cbrt (* (* (cbrt (sqrt z)) (cbrt (sqrt z))) (sqrt (cbrt z)))) (cbrt (sqrt z)))))

prune39.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.0b	(/ (* x (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y))))) (/ (* (cbrt z) (cbrt z)) (cbrt (* (cbrt y) (cbrt y)))))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)