Details

Time bar (total: 5.2s)

sample34.0ms

Algorithm
intervals
Results
22.0ms317×body80valid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

1.8b
(fma (/ y t) (- z x) x)

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:
0.0ms
(fma (/ y t) (- z x) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ y t) (- z x) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune35.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b
(* (/ y t) (- z x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 62
Calls
1 calls:
17.0ms
(* (/ y t) (- z x))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* (/ y t) (- z x))

simplify42.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0380523
11488369
25001357

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (/ y t) (- z x))
7.5b
(cbrt (* (/ y t) (- z x)))
7.5b
(cbrt (* (/ y t) (- z x)))
7.5b
(cbrt (* (/ y t) (- z x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
15×cbrt-div
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
9×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-*r/ flip--
6×pow1
5×associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
2×sub-neg prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
16.0ms
(* (/ y t) (- z x))
5.0ms
(cbrt (* (/ y t) (- z x)))
7.0ms
(cbrt (* (/ y t) (- z x)))
5.0ms
(cbrt (* (/ y t) (- z x)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (/ y t) (- z x))
121.0ms
(cbrt (* (/ y t) (- z x)))
119.0ms
(cbrt (* (/ y t) (- z x)))
117.0ms
(cbrt (* (/ y t) (- z x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0464940
11720759
25001741

prune372.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (cbrt z) 3)
1.5b
(* (/ y t) (fma (- x) 1 x))
4.8b
(/ (pow (cbrt z) 3) (/ t y))
5.4b
(* (/ y t) x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
425×times-frac
238×add-sqr-sqrt
228×add-cube-cbrt *-un-lft-identity
90×cbrt-prod unpow-prod-down cube-prod
28×add-exp-log
26×associate-*l*
22×div-inv
19×add-cbrt-cube
18×associate-/l*
15×cube-mult unpow3 sqr-pow
13×associate-/r*
11×div-exp
9×pow1
6×associate-*r*
5×cbrt-undiv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×pow-to-exp pow-unpow pow-exp
2×pow-pow pow-prod-down associate-*l/ *-commutative fma-udef
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/3 clear-num associate-/r/ rem-cube-cbrt
Counts
4 → 388
Calls
4 calls:
2.0ms
(pow (cbrt z) 3)
7.0ms
(* (/ y t) (fma (- x) 1 x))
16.0ms
(/ (pow (cbrt z) 3) (/ t y))
8.0ms
(* (/ y t) x)

series1.6s

Counts
4 → 12
Calls
4 calls:
227.0ms
(pow (cbrt z) 3)
1.3s
(* (/ y t) (fma (- x) 1 x))
48.0ms
(/ (pow (cbrt z) 3) (/ t y))
18.0ms
(* (/ y t) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
400 → 400
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010842957
150012738

prune785.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes151.0ms

Accuracy

16.6% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.2b

bsearch188.0ms

Steps
ItersRangePoint
9
1.3184517243906365e+126
5.416906886348369e+135
3.4271601891193827e+131
12
-8.764109815060108e-271
2.2860026354415495e-302
4.1052985606206364e-305

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04428
14428

end0.0ms

sample942.0ms

Algorithm
intervals
Results
672.0ms10655×body80valid