Details

Time bar (total: 12.5s)

sample24.0ms

Algorithm
intervals
Results
10.0ms274×body80valid

simplify150.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
227164
348164
475164
5100164
6131164
7147164
8157164
9160164
done160164

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
37.0ms
(* x (- y z))
44.0ms
(/ (* x (- y z)) (- t z))

series159.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- y z))
113.0ms
(/ (* x (- y z)) (- t z))

simplify3.4s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
015721765
139218908
2104815304
3457415144
done500015144

prune429.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 198
Calls
2 calls:
32.0ms
(/ (- t z) (- y z))
39.0ms
(/ x (/ (- t z) (- y z)))

series312.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- t z) (- y z))
236.0ms
(/ x (/ (- t z) (- y z)))

simplify2.1s

Counts
204 → 204
Iterations

Useful iterations: done (2.1s)

IterNodesCost
027478597
173773105
2275071475
done500271232

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 106
Calls
2 calls:
20.0ms
(/ (- y z) (- t z))
48.0ms
(* x (/ (- y z) (- t z)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (- y z) (- t z))
99.0ms
(* x (/ (- y z) (- t z)))

simplify3.3s

Counts
112 → 112
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
014227810
137525600
2115525358
3464625198
done500025198

prune517.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

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×expm1-log1p-u cbrt-undiv rec-exp 1-exp log1p-expm1-u 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 → 125
Calls
3 calls:
10.0ms
(/ 1 (- t z))
47.0ms
(* (- y z) (/ 1 (- t z)))
85.0ms
(* x (* (- y z) (/ 1 (- t z))))

series199.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- t z))
59.0ms
(* (- y z) (/ 1 (- t z)))
100.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify163.0ms

Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
016432170