Details

Time bar (total: 10.7s)

sample48.0ms

Algorithm
intervals
Results
24.0ms268×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
23817
34617
44817
done4817

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize15.0ms

Local error

Found 3 expressions with local error:

5.5b
(/ (* y z) t)
6.4b
(/ (* y b) t)
11.8b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
26×times-frac
21×distribute-lft-out
18×add-sqr-sqrt add-cube-cbrt
15×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l*
5×cbrt-undiv div-exp
4×associate-/r/
3×pow1 frac-2neg flip3-+ clear-num flip-+ div-inv add-log-exp
2×frac-add prod-exp cbrt-unprod associate-/l/
Counts
3 → 89
Calls
3 calls:
21.0ms
(/ (* y z) t)
18.0ms
(/ (* y b) t)
122.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series237.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (* y z) t)
23.0ms
(/ (* y b) t)
185.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.2s

Counts
98 → 98
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01711630
14311565
215371447
done50001443

prune425.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.9b

localize35.0ms

Local error

Found 3 expressions with local error:

4.2b
(/ y (/ t b))
5.5b
(/ (* y z) t)
11.8b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac
95×*-un-lft-identity
58×add-sqr-sqrt add-cube-cbrt
21×associate-/r* distribute-lft-out
15×add-exp-log add-cbrt-cube
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp
5×associate-/r/
3×pow1 frac-2neg flip3-+ clear-num flip-+ add-log-exp
2×frac-add associate-/l/
1×prod-exp cbrt-unprod
Counts
3 → 138
Calls
3 calls:
20.0ms
(/ y (/ t b))
13.0ms
(/ (* y z) t)
160.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series269.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (/ t b))
35.0ms
(/ (* y z) t)
193.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify1.3s

Counts
147 → 147
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02752324
16372199
221122071
done50002065

prune519.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize39.0ms

Local error

Found 3 expressions with local error:

4.2b
(/ y (/ t b))
5.2b
(* y (/ z t))
11.8b
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
83×*-un-lft-identity
68×add-sqr-sqrt
63×add-cube-cbrt
18×associate-/r*
15×add-exp-log add-cbrt-cube
13×associate-*r*
12×distribute-lft-out
7×div-inv
6×associate-/l*
5×pow1 cbrt-undiv div-exp associate-/r/
3×flip3-+ associate-*l* flip-+ add-log-exp
2×frac-2neg frac-add prod-exp clear-num cbrt-unprod associate-/l/ unswap-sqr
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 143
Calls
3 calls:
17.0ms
(/ y (/ t b))
26.0ms
(* y (/ z t))
142.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series219.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ y (/ t b))
21.0ms
(* y (/ z t))
173.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify1.3s

Counts
152 → 152
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02942267
16852138
222252010
done50002004

prune716.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize28.0ms

Local error

Found 4 expressions with local error:

1.9b
(/ (/ t b) (cbrt y))
2.7b
(/ (* (cbrt y) (cbrt y)) (/ (/ t b) (cbrt y)))
5.2b
(* y (/ z t))
11.8b
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* (cbrt y) (cbrt y)) (/ (/ t b) (cbrt y)))))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
512×times-frac
257×*-un-lft-identity
242×add-sqr-sqrt
237×add-cube-cbrt
120×cbrt-prod
93×associate-/r*
37×add-exp-log
25×add-cbrt-cube div-inv
17×cbrt-undiv div-exp associate-/l*
13×associate-*r*
12×distribute-lft-out
6×pow1
5×prod-exp associate-/r/ cbrt-unprod
4×add-log-exp
3×frac-2neg flip3-+ associate-*l* clear-num flip-+ associate-/l/
2×frac-add unswap-sqr
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 373
Calls
4 calls:
22.0ms
(/ (/ t b) (cbrt y))
35.0ms
(/ (* (cbrt y) (cbrt y)) (/ (/ t b) (cbrt y)))
24.0ms
(* y (/ z t))
213.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* (cbrt y) (cbrt y)) (/ (/ t b) (cbrt y)))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (/ t b) (cbrt y))
61.0ms
(/ (* (cbrt y) (cbrt y)) (/ (/ t b) (cbrt y)))
37.0ms
(* y (/ z t))
203.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* (cbrt y) (cbrt y)) (/ (/ t b) (cbrt y)))))

simplify980.0ms

Counts
385 → 385
Iterations

Useful iterations: done (959.0ms)

IterNodesCost
06027170
114776697
done50006157

prune2.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.2b

regimes15.0ms