Details

Time bar (total: 12.5s)

sample39.0ms

Algorithm
intervals
Results
16.0ms274×body80valid

simplify154.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
114164
227164
346164
467164
590164
6115164
7128164
8137164
9138164
done138164

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.4b
(/ (* x (- y z)) (- t z))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
32.0ms
(* x (- y z))
37.0ms
(/ (* x (- y z)) (- t z))

series135.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- y z))
88.0ms
(/ (* x (- y z)) (- t z))

simplify3.1s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
010511665
127310457
280810297
3345510137
done500010137

prune322.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- t z) (- y z))
2.5b
(/ x (/ (- t z) (- y z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×div-sub
Counts
2 → 194
Calls
2 calls:
18.0ms
(/ (- t z) (- y z))
19.0ms
(/ x (/ (- t z) (- y z)))

series322.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (- t z) (- y z))
253.0ms
(/ x (/ (- t z) (- y z)))

simplify2.4s

Counts
200 → 200
Iterations

Useful iterations: done (2.4s)

IterNodesCost
027077703
171672024
2251670681
done500270438

prune942.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.7b
(* x (/ (- y z) (- t z)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 102
Calls
2 calls:
26.0ms
(/ (- y z) (- t z))
39.0ms
(* x (/ (- y z) (- t z)))

series208.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(/ (- y z) (- t z))
120.0ms
(* x (/ (- y z) (- t z)))

simplify3.6s

Counts
108 → 108
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
013826916
136724649
2114924489
3473924329
done503624329

prune500.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
2.7b
(* x (* (- y z) (/ 1 (- t z))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*l* associate-*r/ distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
3 → 119
Calls
3 calls:
9.0ms
(/ 1 (- t z))
56.0ms
(* (- y z) (/ 1 (- t z)))
78.0ms
(* x (* (- y z) (/ 1 (- t z))))

series228.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 1 (- t z))
68.0ms
(* (- y z) (/ 1 (- t z)))
117.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify108.0ms

Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
015830786