Details

Time bar (total: 3.3s)

sample32.0ms

Algorithm
intervals
Results
16.0ms337×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (14.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.3b

Counts
2 → 2

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma z (- 1.0 t) 1)
0.1b
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
8.8b
(/ (fma z (- 1.0 t) 1) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma z (- 1.0 t) 1)
1.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
4.0ms
(/ (fma z (- 1.0 t) 1) z)

series162.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(fma z (- 1.0 t) 1)
103.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
35.0ms
(/ (fma z (- 1.0 t) 1) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0156346
1396307
21684305
35002304

prune190.0ms

Filtered
58 candidates to 47 candidates (81.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New54458
Fresh011
Picked101
Done000
Total55560

Merged error: 0.0b

Counts
60 → 5

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify109.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
059106
113792
259890
3318889
4500289

prune43.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh044
Picked011
Done000
Total13518

Merged error: 0.0b

Counts
18 → 5

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
9.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
18×prod-diff
13×add-exp-log fma-def add-cbrt-cube
12×times-frac
11×distribute-rgt-in distribute-lft-in
8×pow1
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-+ associate-*r/ div-exp flip-+ div-inv associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 99
Calls
3 calls:
14.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.0ms
(* (* z 2.0) (- 1.0 t))
8.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series190.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
50.0ms
(* (* z 2.0) (- 1.0 t))
78.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify82.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0553869
12416670
25001668

prune243.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh033
Picked011
Done011
Total1076113

Merged error: 0.0b

Counts
113 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

2.8b
(/ (* (cbrt (fma z (- 1.0 t) 1)) (cbrt (fma z (- 1.0 t) 1))) (* (cbrt z) (cbrt z)))
9.2b
(cbrt (fma z (- 1.0 t) 1))
9.2b
(cbrt (fma z (- 1.0 t) 1))
9.2b
(cbrt (fma z (- 1.0 t) 1))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
9×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 62
Calls
4 calls:
16.0ms
(/ (* (cbrt (fma z (- 1.0 t) 1)) (cbrt (fma z (- 1.0 t) 1))) (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (fma z (- 1.0 t) 1))
1.0ms
(cbrt (fma z (- 1.0 t) 1))
2.0ms
(cbrt (fma z (- 1.0 t) 1))

series486.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(/ (* (cbrt (fma z (- 1.0 t) 1)) (cbrt (fma z (- 1.0 t) 1))) (* (cbrt z) (cbrt z)))
99.0ms
(cbrt (fma z (- 1.0 t) 1))
101.0ms
(cbrt (fma z (- 1.0 t) 1))
95.0ms
(cbrt (fma z (- 1.0 t) 1))

simplify55.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0360797
11310682
25001653

prune316.0ms

Filtered
74 candidates to 63 candidates (85.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done022
Total74680

Merged error: 0.0b

Counts
80 → 6

regimes214.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1166

end0.0ms

sample786.0ms

Algorithm
intervals
Results
510.0ms10382×body80valid

Profiling

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