Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms318×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

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: 8.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.3b
(/ (* x (+ (- y z) 1.0)) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
9.0ms
(* x (+ (- y z) 1.0))
11.0ms
(/ (* x (+ (- y z) 1.0)) z)

series90.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (+ (- y z) 1.0))
52.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0262303
11268253
25002253

prune114.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.6b
(/ x (/ z (+ (- y z) 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
8.0ms
(/ z (+ (- y z) 1.0))
12.0ms
(/ x (/ z (+ (- y z) 1.0)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ z (+ (- y z) 1.0))
49.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
04631195
121431142
250011140

prune272.0ms

Filtered
149 candidates to 98 candidates (65.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh325
Picked011
Done000
Total1505155

Merged error: 0b

Counts
155 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.0b
(* x (/ (+ (- y z) 1.0) z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
9.0ms
(/ (+ (- y z) 1.0) z)
13.0ms
(* x (/ (+ (- y z) 1.0) z))

series81.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (+ (- y z) 1.0) z)
52.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify49.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0274497
11191450
25001447

prune130.0ms

Filtered
86 candidates to 53 candidates (61.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done011
Total86591

Merged error: 0b

Counts
91 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.5b
(* (* x (+ (- y z) 1.0)) (/ 1 z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×*-un-lft-identity add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-+ flip-+
2×cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp associate-*l/ *-commutative log1p-expm1-u distribute-lft-out add-log-exp
1×distribute-rgt-in distribute-lft-in un-div-inv div-inv distribute-lft-out-- unswap-sqr
Counts
2 → 70
Calls
2 calls:
10.0ms
(* x (+ (- y z) 1.0))
15.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

series88.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (+ (- y z) 1.0))
51.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

simplify68.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0405467
12169381
25001368

prune116.0ms

Filtered
76 candidates to 45 candidates (59.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done022
Total76581

Merged error: 0b

Counts
81 → 5

regimes95.0ms

Accuracy

95.5% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.1b

bsearch74.0ms

Steps
ItersRangePoint
5
58799743.69495726
148917107.89659858
77529046.77443498
9
-3.3083011695310274e+34
-4.866441541213765e+29
-1.4853295995609971e+32

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02112
12112

end0.0ms

sample471.0ms

Algorithm
intervals
Results
260.0ms10107×body80valid

Profiling

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