Details

Time bar (total: 2.6s)

sample23.0ms

Algorithm
intervals
Results
12.0ms322×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.5b
(* (/ x y) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
6.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series94.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 4.0) y)
47.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify114.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune188.0ms

Filtered
88 candidates to 63 candidates (71.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80888
Fresh000
Picked101
Done000
Total81889

Merged error: 0.0b

Counts
89 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
0.1b
(* (+ x 4.0) (/ 1 y))
3.5b
(* (/ x y) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
22×*-un-lft-identity
21×times-frac
19×add-cube-cbrt
17×add-exp-log associate-*l*
16×associate-*r*
13×associate-*l/ add-cbrt-cube
7×pow1
6×prod-exp frac-sub
5×add-log-exp unswap-sqr
4×frac-times flip3-+ cbrt-unprod flip-+
3×associate-*r/ div-exp un-div-inv
2×cbrt-undiv pow-prod-down *-commutative div-inv sub-div
1×sub-neg rec-exp flip3-- diff-log 1-exp flip-- distribute-lft-out
Counts
3 → 93
Calls
3 calls:
8.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
10.0ms
(* (+ x 4.0) (/ 1 y))
6.0ms
(* (/ x y) z)

series92.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
29.0ms
(* (+ x 4.0) (/ 1 y))
20.0ms
(* (/ x y) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0506559
12162502
25003481

prune185.0ms

Filtered
102 candidates to 69 candidates (67.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh077
Picked011
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.1b
(* (/ x (cbrt y)) z)
3.2b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(* (/ x (cbrt y)) z)
15.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series495.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt y)
173.0ms
(cbrt y)
108.0ms
(* (/ x (cbrt y)) z)
44.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify54.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0478843
12160646
25001558

prune259.0ms

Filtered
127 candidates to 81 candidates (63.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh066
Picked011
Done011
Total1278135

Merged error: 0.0b

Counts
135 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.5b
(* (/ x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log cbrt-prod add-cbrt-cube
6×pow1
4×add-log-exp
3×pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (/ x y) z)

series541.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
176.0ms
(cbrt y)
171.0ms
(cbrt y)
21.0ms
(* (/ x y) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0186245
1643221
22420214
35001211

prune190.0ms

Filtered
77 candidates to 61 candidates (79.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done022
Total77885

Merged error: 0.0b

Counts
85 → 8

regimes106.0ms

bsearch2.0ms

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