Details

Time bar (total: 8.2s)

sample77.0ms

Algorithm
intervals
Results
41.0ms626×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c t) (* i y))
4.3b
(* x (- (* y z) (* t a)))
4.8b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.3b
(* b (- (* c z) (* i a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×distribute-rgt-in distribute-lft-in associate-*r* associate-*l* add-log-exp
5×sub-neg prod-diff
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log fma-udef
Counts
4 → 82
Calls
4 calls:
3.0ms
(- (* c t) (* i y))
10.0ms
(* x (- (* y z) (* t a)))
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
10.0ms
(* b (- (* c z) (* i a)))

series711.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* c t) (* i y))
63.0ms
(* x (- (* y z) (* t a)))
544.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
66.0ms
(* b (- (* c z) (* i a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423646
11659568
25001568

prune406.0ms

Filtered
94 candidates to 71 candidates (75.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.6b

localize23.0ms

Local error

Found 4 expressions with local error:

5.3b
(* b (- (* c z) (* i a)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l*
2×sub-neg associate-*r/ prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 73
Calls
4 calls:
9.0ms
(* b (- (* c z) (* i a)))
2.0ms
(cbrt (- (* c t) (* i y)))
2.0ms
(cbrt (- (* c t) (* i y)))
2.0ms
(cbrt (- (* c t) (* i y)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* b (- (* c z) (* i a)))
108.0ms
(cbrt (- (* c t) (* i y)))
111.0ms
(cbrt (- (* c t) (* i y)))
109.0ms
(cbrt (- (* c t) (* i y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0337646
11155598
24177580
35001580

prune483.0ms

Filtered
85 candidates to 71 candidates (83.5%)
Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.6b

localize26.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (cbrt x) (- (* y z) (* t a)))
3.2b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.8b
(fma (- (* c t) (* i y)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (* b (- (* c z) (* i a)))))
5.3b
(* b (- (* c z) (* i a)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
18×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×sub-neg associate-*r/ prod-diff
7×associate-*r*
4×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
1×fma-udef
Counts
4 → 108
Calls
4 calls:
11.0ms
(* (cbrt x) (- (* y z) (* t a)))
25.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
0.0ms
(fma (- (* c t) (* i y)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (* b (- (* c z) (* i a)))))
10.0ms
(* b (- (* c z) (* i a)))

series1.1s

Counts
4 → 12
Calls
4 calls:
262.0ms
(* (cbrt x) (- (* y z) (* t a)))
98.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
635.0ms
(fma (- (* c t) (* i y)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (* b (- (* c z) (* i a)))))
65.0ms
(* b (- (* c z) (* i a)))

simplify74.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05541206
12443956
25001877

prune496.0ms

Filtered
120 candidates to 76 candidates (63.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.6b

localize27.0ms

Local error

Found 4 expressions with local error:

8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- (* c t) (* i y)))
2.0ms
(cbrt (- (* c t) (* i y)))
2.0ms
(cbrt (- (* c t) (* i y)))
2.0ms
(cbrt (- (* c t) (* i y)))

series442.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (- (* c t) (* i y)))
109.0ms
(cbrt (- (* c t) (* i y)))
109.0ms
(cbrt (- (* c t) (* i y)))
112.0ms
(cbrt (- (* c t) (* i y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (96.0ms)

IterNodesCost
0190616
1538580
21633556
33867552
45001540

prune491.0ms

Filtered
72 candidates to 68 candidates (94.4%)
Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.6b

regimes797.0ms

Accuracy

2.7% (7.7b remaining)

Error of 12.0b against oracle of 4.3b and baseline of 12.2b

bsearch80.0ms

Steps
ItersRangePoint
6
-3.7319078933005125e+100
-5.66291884923143e+99
-3.504555323936282e+100

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05344
15344

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s19144×body80valid