Details

Time bar (total: 6.9s)

sample74.0ms

Algorithm
intervals
Results
18.0ms282×body80nan
18.0ms256×body80valid

simplify493.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (114.0ms)

IterNodesCost
02833
15033
210732
334732
4139931
done500031

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
0.2b
(* z (sqrt (+ t a)))
1.6b
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.8b
(/ (* z (sqrt (+ t a))) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u sqrt-div associate-*r/ div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l/ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 85
Calls
4 calls:
3.0ms
(/ 2.0 (* t 3.0))
14.0ms
(* z (sqrt (+ t a)))
0.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series341.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
61.0ms
(* z (sqrt (+ t a)))
182.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
82.0ms
(/ (* z (sqrt (+ t a))) t)

simplify592.0ms

Counts
97 → 97
Iterations

Useful iterations: done (587.0ms)

IterNodesCost
02201199
15291129
21867993
done5000987

prune469.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.0b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
39.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series700.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
183.0ms
(cbrt t)
219.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
110.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify1.0s

Counts
137 → 137
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02452460
16992331
229271806
done50001799

prune698.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* c (+ a 0.8333333333333334))
1.5b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ associate--l+ log1p-expm1-u
1×sub-neg flip3-- flip3-+ fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
9.0ms
(* c (+ a 0.8333333333333334))
6.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series73.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* c (+ a 0.8333333333333334))
36.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify998.0ms

Counts
49 → 49
Iterations

Useful iterations: done (996.0ms)

IterNodesCost
080482
1230446
2684417
32296399
done5000398

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.0b
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.1b
(- (/ b t) (/ c t))

rewrite421.0ms

Algorithm
rewrite-expression-head
Rules
1667×times-frac
1320×add-sqr-sqrt
1310×*-un-lft-identity
1294×add-cube-cbrt
1185×prod-diff
684×associate--l+
513×distribute-rgt-in distribute-lft-in
345×unpow-prod-up
187×div-inv
14×fma-neg
12×associate-*r*
9×sub-neg
8×distribute-lft-out-- add-log-exp difference-of-squares
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u pow-pow associate-*r/ log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod flip3-- associate-*l* flip--
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×pow-to-exp pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod pow-sub unswap-sqr sqr-pow
Counts
4 → 1308
Calls
4 calls:
68.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
81.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
86.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
27.0ms
(- (/ b t) (/ c t))

series189.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
77.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
44.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
22.0ms
(- (/ b t) (/ c t))

simplify509.0ms

Iterations

Useful iterations: 0 (271.0ms)

IterNodesCost
0120155140